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</copyright><lastBuildDate>Mon, 06 Apr 2026 22:12:51 GMT</lastBuildDate><generator>Nikola (getnikola.com)</generator><docs>http://blogs.law.harvard.edu/tech/rss</docs><item><title>Processing 51,000 Photos with AI on AMD Strix Halo</title><link>https://tinycomputers.io/posts/processing-51000-photos-with-ai-on-amd-strix-halo.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
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&lt;div class="audio-widget-footer"&gt;17 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;p&gt;I have roughly 20 years of photos sitting on a home fileserver. They span 2001 to 2020, shot on everything from a &lt;a href="https://baud.rs/StrgMz"&gt;Minolta&lt;/a&gt; DiMAGE F100 to a &lt;a href="https://baud.rs/qJQjcb"&gt;Nikon D5100&lt;/a&gt; to various iPhones over the years. A mix of 21,554 JPEGs and 29,860 Nikon RAW files (51,414 images total) organized in a &lt;a href="https://amzn.to/4lwULpW"&gt;Lightroom&lt;/a&gt; backup directory by year, month, and date. Most were shot handheld, many in a hurry. The kind of archive that accumulates when you take photos for two decades without ever going back to curate them.&lt;/p&gt;
&lt;p&gt;The Lightroom catalog that once made sense of all this was long gone, lost to a drive migration somewhere around 2018. What remained was a directory tree of raw files with no organization beyond the date folders. No star ratings, no keywords, no collections. Just files. Thousands of them, some sideways, some crooked, all unlabeled.&lt;/p&gt;
&lt;p&gt;I wanted to fix that. Not manually (I don't have a month to spend in Lightroom) but programmatically. The goals were straightforward: correct orientation issues, straighten crooked horizons, generate AI descriptions of every photo's content, and catalog the whole archive in a queryable database. The kind of batch processing job that would have been impractical five years ago but is now entirely doable with the right hardware and a weekend of scripting.&lt;/p&gt;
&lt;h3&gt;The Hardware&lt;/h3&gt;
&lt;p&gt;Two machines on the local network, each with a distinct role:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Machine&lt;/th&gt;
&lt;th&gt;Role&lt;/th&gt;
&lt;th&gt;Key Specs&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Fileserver&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;NAS / photo storage&lt;/td&gt;
&lt;td&gt;28TB RAID (&lt;code&gt;/md0&lt;/code&gt;), 125GB RAM, NFS exports&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;GPU workstation&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;ML inference&lt;/td&gt;
&lt;td&gt;&lt;a href="https://baud.rs/6jjmD9"&gt;AMD Ryzen AI Max+ 395&lt;/a&gt;, Radeon 8060S, 121GB RAM&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The fileserver is a straightforward storage box. The interesting machine is the GPU workstation running an AMD Strix Halo APU, specifically the AI Max+ 395 with its integrated Radeon 8060S. I've written about this chip &lt;a href="https://tinycomputers.io/posts/amd-ai-max+-395-system-review-a-comprehensive-analysis.html"&gt;before&lt;/a&gt;, and it continues to impress for inference workloads. The RDNA 3.5 integrated GPU shares system memory, giving it access to 65.2 GB of VRAM without the typical constraints of a discrete card. For a model like BLIP that needs maybe 2 GB, that's absurdly generous, but it means you never have to think about VRAM budgets, which is a luxury when you're iterating on a processing pipeline.&lt;/p&gt;
&lt;p&gt;The fileserver already had NFS configured, exporting &lt;code&gt;/md0&lt;/code&gt; to the local subnet. One mount command on the GPU workstation and both machines could see the same filesystem:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;mount&lt;span class="w"&gt; &lt;/span&gt;-t&lt;span class="w"&gt; &lt;/span&gt;nfs&lt;span class="w"&gt; &lt;/span&gt;fileserver.localnet:/md0&lt;span class="w"&gt; &lt;/span&gt;/md0
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;No file copying, no rsync scripts, no staging directories. The photos live on the NAS and get processed in-place over the network. Gigabit Ethernet introduces some I/O overhead (each 25 MB NEF file takes 200–300ms to read across the wire), but for an overnight batch job, the simplicity of a single shared filesystem is worth the throughput trade-off. If this were a recurring workflow, I'd invest in 10GbE, but for a one-time archive processing run, gigabit got it done.&lt;/p&gt;
&lt;h3&gt;The Software Stack&lt;/h3&gt;
&lt;p&gt;Everything runs in a Python virtual environment on the GPU workstation:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;PyTorch 2.9.1+rocm6.3&lt;/strong&gt;: ML framework with AMD ROCm backend&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;BLIP&lt;/strong&gt; (&lt;a href="https://huggingface.co/Salesforce/blip-image-captioning-large"&gt;&lt;code&gt;Salesforce/blip-image-captioning-large&lt;/code&gt;&lt;/a&gt;): vision-language model for image captioning&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;OpenCV 4.13&lt;/strong&gt;: horizon detection via Canny edge detection and Hough transforms&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;rawpy 0.26.1&lt;/strong&gt;: Nikon NEF/NRW decoding (wraps LibRaw)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;piexif&lt;/strong&gt;: EXIF metadata extraction for JPEGs&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;exiftool&lt;/strong&gt;: EXIF extraction for RAW files (called as a subprocess)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;SQLite&lt;/strong&gt;: metadata and results database&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;The gfx1151 Situation&lt;/h4&gt;
&lt;p&gt;If you've followed my &lt;a href="https://tinycomputers.io/posts/getting-pytorch-working-with-amd-radeon-pro-w7900-max+-395-a-comprehensive-guide.html"&gt;previous posts on Strix Halo&lt;/a&gt;, you know the drill. The Radeon 8060S reports as &lt;code&gt;gfx1151&lt;/code&gt; in ROCm, which is newer than what PyTorch's ROCm wheels officially target. The fix is the same environment variable override:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="nb"&gt;export&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;HSA_OVERRIDE_GFX_VERSION&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;11&lt;/span&gt;.0.0
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This maps the GPU to a generic gfx11 target. In practice, it works without issues, with no compute errors and no performance penalties. ROCm 6.16 on this machine also reports &lt;code&gt;amdgcn-amd-amdhsa--gfx11-generic&lt;/code&gt; as a supported ISA, which is likely why the override works cleanly. I've been running production workloads with this flag for months now without incident.&lt;/p&gt;
&lt;h3&gt;The Processing Pipeline&lt;/h3&gt;
&lt;p&gt;Each photo passes through five stages: EXIF extraction, orientation correction, horizon detection and straightening, AI captioning, and finally saving the corrected image and cataloging everything in SQLite.&lt;/p&gt;
&lt;h4&gt;EXIF Metadata Extraction&lt;/h4&gt;
&lt;p&gt;For JPEGs, &lt;code&gt;piexif&lt;/code&gt; reads the embedded EXIF data directly; it's a pure Python library that parses the binary EXIF structure without needing any external dependencies. For NEF/NRW files, piexif can't handle Nikon's proprietary container format, so I shell out to &lt;code&gt;exiftool&lt;/code&gt; with JSON output (&lt;code&gt;exiftool -json -n &amp;lt;file&amp;gt;&lt;/code&gt;). The &lt;code&gt;-n&lt;/code&gt; flag is important; it returns numeric values instead of human-readable strings, which makes downstream processing much cleaner.&lt;/p&gt;
&lt;p&gt;The extracted fields cover the full gamut: camera make and model, lens, dates, exposure settings (shutter speed, aperture, ISO, focal length), flash, white balance, metering mode, GPS coordinates, and the original orientation tag.&lt;/p&gt;
&lt;p&gt;EXIF data is notoriously inconsistent across two decades of cameras. I'll come back to this; it became a debugging story of its own.&lt;/p&gt;
&lt;h4&gt;Orientation Correction&lt;/h4&gt;
&lt;p&gt;The EXIF orientation tag (values 1 through 8) encodes how the camera was held when the photo was taken. A value of 1 means the image is right-side up. A value of 6 means the camera was rotated 90 degrees clockwise. Value 3 means 180 degrees. Some values encode horizontal or vertical flips. The full matrix looks like this:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;ops&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;FLIP_LEFT_RIGHT&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ROTATE_180&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;FLIP_TOP_BOTTOM&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;FLIP_LEFT_RIGHT&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ROTATE_270&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ROTATE_270&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="mi"&gt;7&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;FLIP_LEFT_RIGHT&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ROTATE_90&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Image&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ROTATE_90&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Out of the 51,411 successfully processed photos, &lt;strong&gt;8,797 (17.1%) needed orientation correction&lt;/strong&gt;. The majority came from the Nikon D5100 and iPhone 4, both of which set the orientation tag but don't bake the rotation into the pixel data itself. Without this correction, nearly one in five photos would display sideways or upside-down in any viewer that doesn't respect EXIF orientation.&lt;/p&gt;
&lt;p&gt;Here's what that looks like in practice. The raw pixel data from this iPhone photo is stored sideways; the camera recorded an EXIF orientation tag of 6, meaning "rotate 90 degrees clockwise to display correctly." Any viewer that ignores that tag renders the image on its side:&lt;/p&gt;
&lt;div style="display: flex; gap: 10px; margin: 20px 0;"&gt;
&lt;div style="flex: 1; text-align: center;"&gt;
&lt;img src="https://tinycomputers.io/images/photo-proc-dog-before.jpg" alt="Dog photo with incorrect orientation - displayed sideways" style="max-width: 100%; box-shadow: 2px 2px 6px rgba(0,0,0,0.3);"&gt;
&lt;p&gt;&lt;em&gt;Before: raw pixel data (EXIF orientation 6, displayed sideways)&lt;/em&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;div style="flex: 1; text-align: center;"&gt;
&lt;img src="https://tinycomputers.io/images/photo-proc-dog-after.jpg" alt="Dog photo after EXIF orientation correction - displayed upright" style="max-width: 100%; box-shadow: 2px 2px 6px rgba(0,0,0,0.3);"&gt;
&lt;p&gt;&lt;em&gt;After: orientation corrected based on EXIF tag&lt;/em&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;

&lt;h4&gt;Horizon Detection and Straightening&lt;/h4&gt;
&lt;p&gt;This stage uses classical computer vision, no neural network needed. The approach:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Downscale the image to 1200px on the long side for speed&lt;/li&gt;
&lt;li&gt;Convert to grayscale, apply Gaussian blur&lt;/li&gt;
&lt;li&gt;Run Canny edge detection&lt;/li&gt;
&lt;li&gt;Crop to the vertical middle 50%, since the horizon is rarely at the extreme top or bottom of a frame&lt;/li&gt;
&lt;li&gt;Apply the Hough Line Transform to find line segments, requiring a minimum length of one-quarter the image width&lt;/li&gt;
&lt;li&gt;Filter to near-horizontal lines (within 20 degrees of level)&lt;/li&gt;
&lt;li&gt;Compute a weighted average of the detected angles, weighted by line length&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;The key is the threshold window. If the detected angle is less than 0.5 degrees, it's not worth correcting, since you'd introduce interpolation artifacts for no visible benefit. If it's greater than 15 degrees, it's probably not a tilted horizon at all; it's either intentional composition or the algorithm latching onto a staircase railing. The correction itself uses &lt;code&gt;cv2.warpAffine&lt;/code&gt; with Lanczos interpolation and a reflective border mode, followed by an inward crop to eliminate any border artifacts:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;crop_factor&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;1.0&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angle&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;sin&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angle&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;h&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="nb"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;h&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The initial implementation used Canny edge detection and Hough line transforms, classical CV techniques from the 1980s. Fast, deterministic, 100ms per image. But it had a fatal flaw: it couldn't distinguish between a tilted horizon and a roofline receding toward a vanishing point. Architecture, roads, staircases, any strong line in the middle band of the image would register as a "tilted horizon," and the algorithm would dutifully rotate the image to "correct" it. In practice, this meant a significant number of photos were being made &lt;em&gt;worse&lt;/em&gt;, not better.&lt;/p&gt;
&lt;p&gt;The fix was to replace Hough line detection with semantic segmentation. SegFormer (&lt;code&gt;nvidia/segformer-b2-finetuned-ade-512-512&lt;/code&gt;), trained on the ADE20K dataset, segments each image into 150 classes, including sky. The approach is simple: find the sky pixels, trace the bottom edge of the sky region, fit a line to that boundary, and measure its angle. If there's no sky (less than 5% of the image), or the sky boundary is too fragmented (fewer than 20 points), skip the correction entirely.&lt;/p&gt;
&lt;p&gt;This eliminates false positives on indoor shots, close-ups, architecture, and anything without a visible sky. SegFormer runs on CPU at about 0.4 seconds per image; the model is only 25M parameters, so it doesn't need the GPU. The GPU stays dedicated to BLIP captioning.&lt;/p&gt;
&lt;p&gt;Two examples from the corrected archive. This bridge over a river had a 2.68-degree clockwise tilt, and the bridge deck and far shore are visibly leveled:&lt;/p&gt;
&lt;div style="display: flex; gap: 10px; margin: 20px 0;"&gt;
&lt;div style="flex: 1; text-align: center;"&gt;
&lt;img src="https://tinycomputers.io/images/photo-proc-river-before.jpg" alt="Bridge over river with tilted horizon" style="max-width: 100%; box-shadow: 2px 2px 6px rgba(0,0,0,0.3);"&gt;
&lt;p&gt;&lt;em&gt;Before: 2.68° clockwise tilt&lt;/em&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;div style="flex: 1; text-align: center;"&gt;
&lt;img src="https://tinycomputers.io/images/photo-proc-river-after.jpg" alt="Bridge over river with corrected horizon" style="max-width: 100%; box-shadow: 2px 2px 6px rgba(0,0,0,0.3);"&gt;
&lt;p&gt;&lt;em&gt;After: horizon straightened via sky boundary detection&lt;/em&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;

&lt;p&gt;This rocky Lake Superior shore had a 3.85-degree clockwise tilt, and the far horizon is leveled:&lt;/p&gt;
&lt;div style="display: flex; gap: 10px; margin: 20px 0;"&gt;
&lt;div style="flex: 1; text-align: center;"&gt;
&lt;img src="https://tinycomputers.io/images/photo-proc-shore-before.jpg" alt="Rocky lakeshore with tilted horizon" style="max-width: 100%; box-shadow: 2px 2px 6px rgba(0,0,0,0.3);"&gt;
&lt;p&gt;&lt;em&gt;Before: 3.85° clockwise tilt&lt;/em&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;div style="flex: 1; text-align: center;"&gt;
&lt;img src="https://tinycomputers.io/images/photo-proc-shore-after.jpg" alt="Rocky lakeshore with corrected horizon" style="max-width: 100%; box-shadow: 2px 2px 6px rgba(0,0,0,0.3);"&gt;
&lt;p&gt;&lt;em&gt;After: horizon straightened&lt;/em&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;

&lt;h4&gt;AI Captioning with BLIP&lt;/h4&gt;
&lt;p&gt;The &lt;code&gt;Salesforce/blip-image-captioning-large&lt;/code&gt; model generates natural language descriptions of each photo. It runs in float16 on the Radeon 8060S. Each image is resized to a maximum of 1024px before inference. Beam search with 5 beams and a 75-token limit generates the caption:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;output_ids&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;max_new_tokens&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;75&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;num_beams&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;early_stopping&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Caption inference takes about 0.5–0.7 seconds per image, consistent regardless of whether the input was a JPEG or a decoded NEF. The model handles a wide variety of subjects surprisingly well. Some examples from the archive:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;em&gt;"a brown and white dog standing next to a blue chair"&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;em&gt;"two silos sitting in the middle of a field"&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;em&gt;"a bird sitting on a branch of a tree"&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;em&gt;"a wooden sign that says hoban road in front of some trees"&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;em&gt;"a blurry photo of a car driving down a snowy road"&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;em&gt;"a dog being groomed by a woman in a salon"&lt;/em&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The captions tend toward a "there is a..." pattern, and they occasionally get details wrong (BLIP once described a photo of my living room as "a hotel lobby," which is generous). But for searchability and cataloging purposes, they're remarkably useful. Being able to query &lt;code&gt;WHERE caption LIKE '%dog%'&lt;/code&gt; across 51,000 photos and get meaningful results is something that would have required manual tagging before models like BLIP existed. For an archive this size, "good enough" captions on every photo are vastly more useful than perfect captions on none of them.&lt;/p&gt;
&lt;h4&gt;Save and Catalog&lt;/h4&gt;
&lt;p&gt;Corrected images are saved as high-quality JPEGs (quality 92) to &lt;code&gt;/md0/photos_processed/images/&lt;/code&gt;, mirroring the original directory structure. NEF and NRW files are converted to JPEG in the process; the corrected archive is a uniform format. All metadata flows into a SQLite database with WAL journaling, tracking 40+ fields per photo: every piece of EXIF data, processing flags (was orientation corrected? was the horizon straightened? by how many degrees?), the AI caption, file hashes, dimensions, and processing timestamps.&lt;/p&gt;
&lt;p&gt;The database makes the archive queryable in ways that were never possible before:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;-- What cameras did I use, and when?&lt;/span&gt;
&lt;span class="k"&gt;SELECT&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;camera_model&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;MIN&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;date_taken&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;MAX&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;date_taken&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;COUNT&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;photos&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;GROUP&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;BY&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;camera_model&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;ORDER&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;BY&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;COUNT&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;DESC&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="c1"&gt;-- Photos with GPS data&lt;/span&gt;
&lt;span class="k"&gt;SELECT&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;filename&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;caption&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;gps_latitude&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;gps_longitude&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;photos&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;WHERE&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;gps_latitude&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;IS&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;NOT&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;NULL&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="c1"&gt;-- How crooked were my photos, by camera?&lt;/span&gt;
&lt;span class="k"&gt;SELECT&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;camera_model&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;ROUND&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;AVG&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;ABS&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;horizon_angle_degrees&lt;/span&gt;&lt;span class="p"&gt;)),&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;avg_tilt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;COUNT&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="k"&gt;FROM&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;photos&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;WHERE&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;horizon_corrected&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;
&lt;span class="k"&gt;GROUP&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;BY&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;camera_model&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;ORDER&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;BY&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;avg_tilt&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;DESC&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;The EXIF Tuple Bug&lt;/h3&gt;
&lt;p&gt;The first processing pass completed 51,414 photos, but with 2,146 errors. All of them were &lt;code&gt;TypeError: type tuple doesn't define __round__ method&lt;/code&gt;. For a pipeline that had been running cleanly on thousands of Nikon D5100 and D60 photos, this was unexpected.&lt;/p&gt;
&lt;p&gt;The root cause turned out to be a two-part problem with how certain budget cameras from the 2008–2012 era write EXIF rational numbers.&lt;/p&gt;
&lt;h4&gt;Part 1: Malformed Tuples&lt;/h4&gt;
&lt;p&gt;The EXIF standard stores rational numbers as &lt;code&gt;(numerator, denominator)&lt;/code&gt; pairs. Most cameras follow this. But some, particularly a batch of older point-and-shoots, wrote the &lt;code&gt;ExposureBiasValue&lt;/code&gt; field as a 4-element tuple like &lt;code&gt;(36, 0, 18, 0)&lt;/code&gt; instead of the expected 2-element &lt;code&gt;(36, 0)&lt;/code&gt;.&lt;/p&gt;
&lt;p&gt;My &lt;code&gt;_rational_to_float&lt;/code&gt; helper only handled 2-tuples:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;_rational_to_float&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="nb"&gt;isinstance&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;tuple&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="ow"&gt;and&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt;  &lt;span class="c1"&gt;# passes through 4-tuples as raw tuples&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;When a 4-tuple fell through, the downstream &lt;code&gt;round()&lt;/code&gt; call choked on it. The fix was simple: return &lt;code&gt;None&lt;/code&gt; for any tuple that isn't a standard rational pair.&lt;/p&gt;
&lt;h4&gt;Part 2: None Propagation&lt;/h4&gt;
&lt;p&gt;Even after fixing Part 1, many of these same cameras had written &lt;code&gt;(36, 0)&lt;/code&gt;, a rational with a zero denominator. The function correctly returned &lt;code&gt;None&lt;/code&gt; for division by zero, but the calling code then did &lt;code&gt;round(None, 2)&lt;/code&gt;, triggering the same &lt;code&gt;TypeError&lt;/code&gt; with a slightly different message.&lt;/p&gt;
&lt;p&gt;The fix was a &lt;code&gt;_safe_round&lt;/code&gt; wrapper:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;_safe_round&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;digits&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;val&lt;/span&gt; &lt;span class="ow"&gt;is&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
    &lt;span class="k"&gt;try&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nb"&gt;round&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;digits&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;except&lt;/span&gt; &lt;span class="ne"&gt;TypeError&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;After both fixes, the second pass recovered all 2,143 photos. The remaining 3 errors were genuine file corruption: a truncated JPEG, a NEF that LibRaw couldn't parse, and a NEF with filesystem-level I/O errors. Probably bad sectors on the source drive. Those can't be fixed in code.&lt;/p&gt;
&lt;p&gt;This is one of those bugs that only surfaces at scale. Run the pipeline on a hundred Nikon photos and everything works perfectly. Run it on 51,000 photos spanning 15 different camera models over 20 years, and every edge case in the EXIF spec comes out to play. The lesson, which I should have internalized long ago: never trust external data formats at scale without defensive parsing on every field. The EXIF spec is a suggestion, not a contract, and camera manufacturers have been interpreting it creatively since the early 2000s.&lt;/p&gt;
&lt;h3&gt;Resumability&lt;/h3&gt;
&lt;p&gt;A 15-hour batch job will inevitably need to be restarted: bugs, system updates, a random hound disconnects the magsafe power cord from my MacBook Pro. The script tracks progress in SQLite and skips completed files on restart:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;is_already_processed&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;conn&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;source_path&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;row&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;conn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;execute&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="s2"&gt;"SELECT id FROM photos WHERE source_path = ? AND error IS NULL"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;source_path&lt;/span&gt;&lt;span class="p"&gt;,),&lt;/span&gt;
    &lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;fetchone&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;row&lt;/span&gt; &lt;span class="ow"&gt;is&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Photos that failed with errors are intentionally &lt;em&gt;not&lt;/em&gt; skipped, so fixing a bug and re-running automatically retries them. This made the EXIF debugging cycle painless: fix the parser, clear the failed rows from the database, relaunch, and only the 2,143 affected photos get reprocessed.&lt;/p&gt;
&lt;h3&gt;Performance&lt;/h3&gt;
&lt;p&gt;The pipeline sustained &lt;strong&gt;1.0–1.8 photos per second&lt;/strong&gt;, depending on file format:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Stage&lt;/th&gt;
&lt;th&gt;Time per Photo&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;JPEG load&lt;/td&gt;
&lt;td&gt;~10ms&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;NEF decode (rawpy)&lt;/td&gt;
&lt;td&gt;~400ms&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;MD5 hash&lt;/td&gt;
&lt;td&gt;~5ms (JPEG), ~100ms (NEF)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Horizon detection&lt;/td&gt;
&lt;td&gt;~100ms&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;BLIP inference&lt;/td&gt;
&lt;td&gt;~500–700ms&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;JPEG save&lt;/td&gt;
&lt;td&gt;~50ms&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;BLIP inference dominates the runtime. NEF decoding is the second bottleneck; each RAW file is 20–30 MB and requires full demosaicing through LibRaw. The NFS overhead for reading large NEFs over gigabit Ethernet is noticeable but not the primary constraint.&lt;/p&gt;
&lt;p&gt;Total wall time: &lt;strong&gt;15.5 hours&lt;/strong&gt; across two passes for 51,414 photos. The BLIP model uses roughly 2 GB of the 65.2 GB available VRAM on the Strix Halo. Memory was never a concern.&lt;/p&gt;
&lt;h3&gt;Final Results&lt;/h3&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Metric&lt;/th&gt;
&lt;th&gt;Count&lt;/th&gt;
&lt;th&gt;Percentage&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Total photos&lt;/td&gt;
&lt;td&gt;51,414&lt;/td&gt;
&lt;td&gt;100%&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Successfully processed&lt;/td&gt;
&lt;td&gt;51,411&lt;/td&gt;
&lt;td&gt;99.99%&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Orientation corrected&lt;/td&gt;
&lt;td&gt;8,797&lt;/td&gt;
&lt;td&gt;17.1%&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Horizon straightened&lt;/td&gt;
&lt;td&gt;15,251&lt;/td&gt;
&lt;td&gt;29.7%&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;AI captioned&lt;/td&gt;
&lt;td&gt;51,411&lt;/td&gt;
&lt;td&gt;99.99%&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Unrecoverable errors&lt;/td&gt;
&lt;td&gt;3&lt;/td&gt;
&lt;td&gt;0.006%&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The top cameras in the archive tell the story of 20 years of gear:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Camera&lt;/th&gt;
&lt;th&gt;Photos&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/qJQjcb"&gt;Nikon D5100&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;24,073&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/mwoMko"&gt;Nikon D60&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;8,734&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;iPhone 4&lt;/td&gt;
&lt;td&gt;2,664&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/ACrtrD"&gt;Nikon D3100&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;1,698&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/jxhHU5"&gt;Panasonic DMC-FX07&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;975&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/StrgMz"&gt;Minolta DiMAGE F100&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;870&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;iPad&lt;/td&gt;
&lt;td&gt;803&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;iPhone 5s&lt;/td&gt;
&lt;td&gt;698&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/10it3U"&gt;Samsung SCH-I500&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;645&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The output lives on the NAS:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Corrected images&lt;/strong&gt;: &lt;code&gt;/md0/photos_processed/images/&lt;/code&gt;, 51,411 JPEGs preserving the original year/month/date folder structure, all NEFs converted, all orientation and horizon corrections applied.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;SQLite database&lt;/strong&gt;: &lt;code&gt;/md0/photos_processed/photos.db&lt;/code&gt;, 40+ fields per photo with full EXIF metadata, processing results, and AI-generated captions.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Processing log&lt;/strong&gt;: &lt;code&gt;/md0/photos_processed/processing.log&lt;/code&gt;, timestamped record of the entire run.&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Takeaways&lt;/h3&gt;
&lt;p&gt;&lt;strong&gt;AMD's Strix Halo continues to earn its keep for ML inference.&lt;/strong&gt; The &lt;code&gt;HSA_OVERRIDE_GFX_VERSION=11.0.0&lt;/code&gt; workaround remains necessary, but once set, PyTorch and ROCm run without complaints. The 65 GB shared VRAM pool means you can load models without thinking about memory budgets, a workflow advantage that's easy to underestimate until you've experienced it.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Classical computer vision still has its place.&lt;/strong&gt; The horizon detection pipeline uses Canny edge detection and Hough transforms, techniques from the 1980s. No training data, no GPU needed, deterministic results, and the whole thing runs in 100ms per image. For geometric corrections on photographic images, you don't need a neural network. You need line detection.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;EXIF is a minefield.&lt;/strong&gt; Twenty years of cameras from different manufacturers means every edge case in the spec gets exercised. Tuple lengths vary, denominators are zero, fields are missing or repurposed. If you're parsing EXIF at scale, assume nothing about the data's shape and validate everything.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Resumability is non-negotiable for long-running jobs.&lt;/strong&gt; Tracking progress in the database and skipping completed work made it trivial to iterate on bugs. Without this, every fix would mean reprocessing 51,000 photos from scratch.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;NFS over gigabit is fine for batch processing.&lt;/strong&gt; Not optimal, but for an overnight job, the network overhead from NAS-attached storage is acceptable. The real bottleneck was ML inference at 0.6 seconds per photo. If I were doing this regularly, 10GbE would be worth the upgrade, but for a one-time archive processing run, gigabit got the job done.&lt;/p&gt;
&lt;p&gt;The whole project, from first SSH to final database entry, took about a day of wall time, most of which was unattended processing. The scripting itself was maybe three hours of work. Twenty years of photos, cataloged and corrected overnight. Not bad for a Strix Halo and some Python. The full source is available on &lt;a href="https://github.com/ajokela/photo-processor"&gt;GitHub&lt;/a&gt;.&lt;/p&gt;
&lt;p&gt;What I didn't expect was how useful the database would be after the fact. Being able to ask "show me every photo I took with the D5100 at ISO 3200 or higher" or "find photos with GPS data from 2015" turns a pile of files into something that actually tells a story. The AI captions add another dimension; I can now search my own photo archive by content, not just metadata. It's the kind of capability that makes you wonder why photo management software hasn't done this for years. The models have been available. The hardware has been affordable. Someone just needed to wire it together.&lt;/p&gt;</description><category>ai max+ 395</category><category>amd</category><category>blip</category><category>computer vision</category><category>exif</category><category>image captioning</category><category>machine learning</category><category>nef</category><category>nikon</category><category>opencv</category><category>photography</category><category>pytorch</category><category>rocm</category><category>sqlite</category><category>strix halo</category><guid>https://tinycomputers.io/posts/processing-51000-photos-with-ai-on-amd-strix-halo.html</guid><pubDate>Sat, 14 Mar 2026 17:00:00 GMT</pubDate></item><item><title>Upgrading ROCm 7.0 to 7.2 on AMD Strix Halo (gfx1151)</title><link>https://tinycomputers.io/posts/upgrading-rocm-7.0-to-7.2-on-amd-strix-halo-gfx1151.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
&lt;div class="audio-widget-header"&gt;
&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
&lt;span class="audio-widget-label"&gt;Listen to this article&lt;/span&gt;
&lt;/div&gt;
&lt;audio controls preload="metadata"&gt;
&lt;source src="https://tinycomputers.io/upgrading-rocm-7.0-to-7.2-on-amd-strix-halo-gfx1151_tts.mp3" type="audio/mpeg"&gt;
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&lt;div class="audio-widget-footer"&gt;15 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;h3&gt;Introduction&lt;/h3&gt;
&lt;p&gt;If you're running AMD's Strix Halo hardware -- specifically the Ryzen AI MAX+ 395 with its integrated Radeon 8060S GPU -- you already know the software ecosystem is a moving target. The gfx1151 architecture sits in an awkward spot: powerful hardware that isn't officially listed on AMD's ROCm support matrix, yet functional enough to run real workloads with the right driver stack. When ROCm 7.2 landed in early 2026, upgrading from 7.0.2 was a priority. The newer stack brings an updated HSA runtime, a refreshed amdgpu kernel module, and broader compatibility improvements that matter on bleeding-edge silicon.&lt;/p&gt;
&lt;p&gt;This post documents the complete upgrade procedure from ROCm 7.0.2 to 7.2 on a production Ubuntu 24.04 system. It's not a theoretical exercise -- this was performed on a live server running QEMU virtual machines and network services, with the expectation that everything would come back online after a single reboot.&lt;/p&gt;
&lt;p&gt;AMD's official documentation states that in-place ROCm upgrades are not supported. The recommended path is a full uninstall followed by a clean reinstall. That's exactly what we did, and the entire process took about 20 minutes of wall-clock time (excluding the reboot).&lt;/p&gt;
&lt;h3&gt;System Overview&lt;/h3&gt;
&lt;p&gt;The target system is a &lt;a href="https://baud.rs/WZgnl1"&gt;Bosgame mini PC&lt;/a&gt; running the Ryzen AI MAX+ 395 APU. If you've read the &lt;a href="https://tinycomputers.io/posts/amd-ai-max+-395-system-review-a-comprehensive-analysis/"&gt;earlier review&lt;/a&gt; of this hardware, you'll be familiar with the specs. For context on this upgrade, here's what matters:&lt;/p&gt;
&lt;h4&gt;Hardware&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;CPU&lt;/strong&gt;: AMD Ryzen AI MAX+ 395, 16 cores / 32 threads, Zen 5&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU&lt;/strong&gt;: Integrated Radeon 8060S, 40 Compute Units, RDNA 3.5 (gfx1151)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory&lt;/strong&gt;: 32 GB DDR5, unified architecture with 96 GB allocatable to GPU&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Peak GPU Clock&lt;/strong&gt;: 2,900 MHz&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Software (Pre-Upgrade)&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;OS&lt;/strong&gt;: Ubuntu 24.04.3 LTS (Noble Numbat)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Kernel&lt;/strong&gt;: 6.14.0-37-generic (HWE, pinned)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ROCm&lt;/strong&gt;: 7.0.2&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;amdgpu-dkms&lt;/strong&gt;: 6.14.14 (from &lt;code&gt;repo.radeon.com/amdgpu/30.10.2&lt;/code&gt;)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ROCk Module&lt;/strong&gt;: 6.14.14&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Running Services&lt;/h4&gt;
&lt;p&gt;The system was actively serving several roles during the upgrade:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Five QEMU virtual machines (three x86, two aarch64)&lt;/li&gt;
&lt;li&gt;A PXE boot server (dnsmasq) for the local network&lt;/li&gt;
&lt;li&gt;Docker daemon with various containers&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;None of these services are tied to the GPU driver stack, so the plan was to perform the upgrade and reboot without shutting them down first. The VMs and network services would come back automatically after the reboot.&lt;/p&gt;
&lt;h3&gt;Why Upgrade&lt;/h3&gt;
&lt;p&gt;ROCm 7.0.2 worked on this hardware. Models loaded, inference ran, &lt;code&gt;rocminfo&lt;/code&gt; detected the GPU. So why bother upgrading?&lt;/p&gt;
&lt;p&gt;Three reasons:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Driver maturity for gfx1151&lt;/strong&gt;: The amdgpu kernel module jumped from 6.14.14 to 6.16.13 between the two releases. That's not a minor revision -- it represents months of kernel driver development. On hardware that isn't officially supported, newer drivers tend to bring meaningful stability improvements as AMD's internal teams encounter and fix issues on adjacent architectures.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;HSA Runtime improvements&lt;/strong&gt;: ROCm 7.2 ships HSA Runtime Extension version 1.15, up from 1.11 in ROCm 7.0.2. The HSA (Heterogeneous System Architecture) runtime is the lowest layer of the ROCm software stack -- it handles device discovery, memory management, and kernel dispatch. Improvements here affect everything built on top of it.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Ecosystem alignment&lt;/strong&gt;: PyTorch wheels, Ollama builds, and other ROCm-dependent tools increasingly target 7.2 as the baseline. Running 7.0.2 was becoming an exercise in version pinning and compatibility workarounds.&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;h3&gt;The Kernel Hold: Why It Matters&lt;/h3&gt;
&lt;p&gt;Before diving into the procedure, a note on kernel management. This system runs the Ubuntu HWE (Hardware Enablement) kernel, which provides newer kernel versions on LTS releases. At the time of this upgrade, the HWE kernel was 6.14.0-37-generic. The upstream kernel had already moved to 6.17, but we didn't want the ROCm upgrade to pull in a kernel that AMD's DKMS module might not build against.&lt;/p&gt;
&lt;p&gt;The solution is &lt;code&gt;apt-mark hold&lt;/code&gt;:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;apt-mark&lt;span class="w"&gt; &lt;/span&gt;hold&lt;span class="w"&gt; &lt;/span&gt;linux-generic-hwe-24.04&lt;span class="w"&gt; &lt;/span&gt;linux-headers-generic-hwe-24.04&lt;span class="w"&gt; &lt;/span&gt;linux-image-generic-hwe-24.04
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This prevents &lt;code&gt;apt&lt;/code&gt; from upgrading the kernel meta-packages, effectively pinning the system to 6.14.0-37-generic. The hold was already in place before the upgrade and remained untouched throughout. After the upgrade, we confirmed it was still active:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;apt-mark&lt;span class="w"&gt; &lt;/span&gt;showhold
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;linux-generic-hwe-24.04
linux-headers-generic-hwe-24.04
linux-image-generic-hwe-24.04
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;If you're running Strix Halo or any other hardware where kernel compatibility with &lt;code&gt;amdgpu-dkms&lt;/code&gt; is uncertain, kernel holds are essential. A kernel upgrade that breaks the DKMS build means no GPU driver after reboot.&lt;/p&gt;
&lt;h3&gt;Upgrade Procedure&lt;/h3&gt;
&lt;h4&gt;Step 1: Uninstall the Current ROCm Stack&lt;/h4&gt;
&lt;p&gt;AMD provides the &lt;code&gt;amdgpu-uninstall&lt;/code&gt; script for exactly this purpose. It removes all ROCm userspace packages and the amdgpu-dkms kernel module in a single operation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;amdgpu-uninstall&lt;span class="w"&gt; &lt;/span&gt;-y
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This command removed approximately 120 packages, including the full HIP runtime, rocBLAS, MIOpen, MIGraphX, ROCm SMI, the LLVM-based compiler toolchain, and the Mesa graphics drivers that ship with ROCm. The DKMS module was purged, which means the amdgpu kernel module was removed from the 6.14.0-37-generic kernel's module tree.&lt;/p&gt;
&lt;p&gt;After the ROCm stack was removed, we purged the &lt;code&gt;amdgpu-install&lt;/code&gt; meta-package itself:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;purge&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;amdgpu-install
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This also cleaned up the APT repository entries that &lt;code&gt;amdgpu-install&lt;/code&gt; had configured in &lt;code&gt;/etc/apt/sources.list.d/&lt;/code&gt;. The old repos -- &lt;code&gt;repo.radeon.com/amdgpu/30.10.2&lt;/code&gt;, &lt;code&gt;repo.radeon.com/rocm/apt/7.0.2&lt;/code&gt;, and &lt;code&gt;repo.radeon.com/graphics/7.0.2&lt;/code&gt; -- were all removed automatically.&lt;/p&gt;
&lt;h4&gt;Step 2: Clean Up Leftover Files&lt;/h4&gt;
&lt;p&gt;The package removal was thorough but not perfect. A few leftover directories remained in &lt;code&gt;/opt/&lt;/code&gt;:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;ls&lt;span class="w"&gt; &lt;/span&gt;/opt/&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;grep&lt;span class="w"&gt; &lt;/span&gt;rocm
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;rocm-7.0.0
rocm-7.0.2
rocm-7.9.0
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The &lt;code&gt;rocm-7.0.0&lt;/code&gt; directory was from a previous installation attempt. The &lt;code&gt;rocm-7.9.0&lt;/code&gt; was from an earlier experiment with a release candidate build. The &lt;code&gt;rocm-7.0.2&lt;/code&gt; directory contained a single orphaned shared library (&lt;code&gt;libamdhip64.so.6&lt;/code&gt;) that dpkg couldn't remove because the directory wasn't empty. All three were cleaned up manually:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;rm&lt;span class="w"&gt; &lt;/span&gt;-rf&lt;span class="w"&gt; &lt;/span&gt;/opt/rocm-7.0.0&lt;span class="w"&gt; &lt;/span&gt;/opt/rocm-7.0.2&lt;span class="w"&gt; &lt;/span&gt;/opt/rocm-7.9.0
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;It's worth checking for stale ROCm directories after any uninstall. They consume negligible disk space but can confuse build systems and scripts that scan &lt;code&gt;/opt/rocm*&lt;/code&gt; for active installations.&lt;/p&gt;
&lt;h4&gt;Step 3: Install the ROCm 7.2 Installer&lt;/h4&gt;
&lt;p&gt;AMD distributes ROCm through a meta-package called &lt;code&gt;amdgpu-install&lt;/code&gt;. Each ROCm release has its own version of this package, which configures the appropriate APT repositories. The 7.2 installer was downloaded directly from AMD's repository:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="nb"&gt;cd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;/tmp
wget&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/amdgpu-install/7.2/ubuntu/noble/amdgpu-install_7.2.70200-1_all.deb
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;./amdgpu-install_7.2.70200-1_all.deb
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;update
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;After installation and &lt;code&gt;apt update&lt;/code&gt;, three new repositories were active:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;code&gt;https://repo.radeon.com/amdgpu/30.30/ubuntu noble&lt;/code&gt; -- the kernel driver and Mesa components&lt;/li&gt;
&lt;li&gt;&lt;code&gt;https://repo.radeon.com/rocm/apt/7.2 noble&lt;/code&gt; -- the ROCm userspace stack&lt;/li&gt;
&lt;li&gt;&lt;code&gt;https://repo.radeon.com/graphics/7.2/ubuntu noble&lt;/code&gt; -- graphics libraries&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The version numbering can be confusing. The &lt;code&gt;amdgpu-install&lt;/code&gt; package version is &lt;code&gt;30.30.0.0.30300000-2278356.24.04&lt;/code&gt;, which maps to the amdgpu driver release 30.30. The ROCm version is 7.2.0. These are different version tracks that AMD maintains in parallel.&lt;/p&gt;
&lt;h4&gt;Step 4: Install ROCm 7.2&lt;/h4&gt;
&lt;p&gt;With the repositories configured, the actual installation was a single command:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;amdgpu-install&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;--usecase&lt;span class="o"&gt;=&lt;/span&gt;graphics,rocm
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The &lt;code&gt;--usecase=graphics,rocm&lt;/code&gt; flag tells the installer to include both the Mesa graphics drivers and the full ROCm compute stack. This is the right choice for a system that needs both display output and GPU compute capabilities.&lt;/p&gt;
&lt;p&gt;The installation took approximately 10 minutes and included:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;amdgpu-dkms 6.16.13&lt;/strong&gt;: The kernel module, compiled via DKMS against the running kernel&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Full ROCm 7.2 stack&lt;/strong&gt;: HIP runtime, hipcc compiler, rocBLAS, rocFFT, MIOpen, MIGraphX, RCCL, ROCm SMI, ROCProfiler, and dozens of other libraries&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Mesa graphics&lt;/strong&gt;: Updated EGL, OpenGL, and Vulkan drivers from the amdgpu Mesa fork&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ROCm LLVM toolchain&lt;/strong&gt;: The LLVM-based compiler infrastructure that HIP uses for kernel compilation&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The DKMS build is the critical step. During installation, DKMS compiled the amdgpu module against the kernel headers for 6.14.0-37-generic. The output confirmed a successful build:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;depmod...
update-initramfs: Generating /boot/initrd.img-6.14.0-37-generic
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The initramfs was regenerated to include the new module, ensuring it would be loaded at boot.&lt;/p&gt;
&lt;h4&gt;Step 5: Verify DKMS&lt;/h4&gt;
&lt;p&gt;Before rebooting, we confirmed the DKMS status:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;dkms&lt;span class="w"&gt; &lt;/span&gt;status
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;amdgpu/6.16.13-2278356.24.04, 6.14.0-37-generic, x86_64: installed
virtualbox/7.0.16, 6.14.0-36-generic, x86_64: installed
virtualbox/7.0.16, 6.14.0-37-generic, x86_64: installed
virtualbox/7.0.16, 6.8.0-100-generic, x86_64: installed
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The new amdgpu module (6.16.13) was built and installed for 6.14.0-37-generic. Note that it only built for the currently running kernel, unlike VirtualBox which had modules built for older kernels as well. This is expected -- DKMS builds against available kernel headers, and the old kernel headers for 6.14.0-36 and 6.8.0-100 were still present from earlier installations.&lt;/p&gt;
&lt;h4&gt;Step 6: Reboot&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;reboot
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The server came back online in approximately 50 seconds.&lt;/p&gt;
&lt;h3&gt;Post-Reboot Verification&lt;/h3&gt;
&lt;h4&gt;rocminfo&lt;/h4&gt;
&lt;p&gt;The first check after reboot was &lt;code&gt;rocminfo&lt;/code&gt;, which queries the HSA runtime for available agents:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;rocminfo
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;ROCk&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;module&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;6.16&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;13&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;is&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;loaded&lt;/span&gt;
&lt;span class="o"&gt;=====================&lt;/span&gt;
&lt;span class="n"&gt;HSA&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;System&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Attributes&lt;/span&gt;
&lt;span class="o"&gt;=====================&lt;/span&gt;
&lt;span class="n"&gt;Runtime&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Version&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt;         &lt;/span&gt;&lt;span class="mf"&gt;1.18&lt;/span&gt;
&lt;span class="n"&gt;Runtime&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Ext&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Version&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt;     &lt;/span&gt;&lt;span class="mf"&gt;1.15&lt;/span&gt;
&lt;span class="o"&gt;...&lt;/span&gt;
&lt;span class="o"&gt;==========&lt;/span&gt;
&lt;span class="n"&gt;HSA&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Agents&lt;/span&gt;
&lt;span class="o"&gt;==========&lt;/span&gt;
&lt;span class="n"&gt;Agent&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;AMD&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;RYZEN&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;AI&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;MAX&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;395&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;w&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Radeon&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;8060&lt;/span&gt;&lt;span class="n"&gt;S&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;CPU&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;Agent&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;gfx1151&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;Marketing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Name&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt;          &lt;/span&gt;&lt;span class="n"&gt;AMD&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Radeon&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Graphics&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;Compute&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Unit&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt;            &lt;/span&gt;&lt;span class="mi"&gt;40&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;Max&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Clock&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Freq&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;MHz&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="mi"&gt;2900&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;Memory&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Properties&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt;       &lt;/span&gt;&lt;span class="n"&gt;APU&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;ISA&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;amdgcn&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;amd&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;amdhsa&lt;/span&gt;&lt;span class="o"&gt;--&lt;/span&gt;&lt;span class="n"&gt;gfx1151&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;ISA&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;amdgcn&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;amd&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;amdhsa&lt;/span&gt;&lt;span class="o"&gt;--&lt;/span&gt;&lt;span class="n"&gt;gfx11&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;generic&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Key observations:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;ROCk module 6.16.13&lt;/strong&gt;: The new kernel module loaded successfully.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Runtime Ext Version 1.15&lt;/strong&gt;: Upgraded from 1.11 in ROCm 7.0.2.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;gfx1151 detected&lt;/strong&gt;: The GPU was recognized with its correct ISA identifier.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;gfx11-generic ISA&lt;/strong&gt;: ROCm 7.2 also exposes a generic gfx11 ISA, which allows software compiled for the broader RDNA 3 family to run on this device without gfx1151-specific builds.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;APU memory&lt;/strong&gt;: The memory properties correctly identify this as an APU with unified memory.&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;ROCm SMI&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;rocm-smi
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Device  Node  Temp    Power     SCLK  MCLK     Fan  Perf  VRAM%  GPU%
0       1     33.0C   9.087W    N/A   1000Mhz  0%   auto  0%     0%
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The GPU was visible and reporting telemetry. The 0% VRAM reading is expected on an APU -- &lt;code&gt;rocm-smi&lt;/code&gt; reports dedicated VRAM usage, but on a unified memory architecture, GPU memory allocations come from system RAM and aren't reflected in this counter.&lt;/p&gt;
&lt;h4&gt;ROCm Version&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;cat&lt;span class="w"&gt; &lt;/span&gt;/opt/rocm/.info/version
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="mf"&gt;7.2.0&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;DKMS&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;dkms&lt;span class="w"&gt; &lt;/span&gt;status
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Confirmed &lt;code&gt;amdgpu/6.16.13&lt;/code&gt; remained installed for 6.14.0-37-generic after reboot.&lt;/p&gt;
&lt;h3&gt;PyTorch Validation&lt;/h3&gt;
&lt;p&gt;With the driver stack verified, the next step was confirming that PyTorch could see and use the GPU. ROCm 7.2 ships with prebuilt PyTorch wheels on AMD's repository.&lt;/p&gt;
&lt;h4&gt;Installing PyTorch for ROCm 7.2&lt;/h4&gt;
&lt;p&gt;We set up a Python virtual environment and installed the ROCm-specific wheels:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;python3&lt;span class="w"&gt; &lt;/span&gt;-m&lt;span class="w"&gt; &lt;/span&gt;venv&lt;span class="w"&gt; &lt;/span&gt;.venv
&lt;span class="nb"&gt;source&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;.venv/bin/activate
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;--upgrade&lt;span class="w"&gt; &lt;/span&gt;pip
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The PyTorch wheel for ROCm 7.2 requires a matching ROCm-specific build of Triton. Both are available from AMD's manylinux repository. The order matters -- Triton must be installed first, since the PyTorch wheel declares it as a dependency with a specific version that doesn't exist on PyPI:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.2/triton-3.5.1%2Brocm7.2.0.gita272dfa8-cp312-cp312-linux_x86_64.whl
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.2/torch-2.9.1%2Brocm7.2.0.lw.git7e1940d4-cp312-cp312-linux_x86_64.whl
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.2/torchvision-0.24.0%2Brocm7.2.0.gitb919bd0c-cp312-cp312-linux_x86_64.whl
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;These are the ROCm 7.2 builds for Python 3.12. AMD also provides wheels for Python 3.10, 3.11, and 3.13.&lt;/p&gt;
&lt;h4&gt;Smoke Test&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch:"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__version__&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"CUDA available:"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Device:"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_name&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"VRAM:"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;round&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_properties&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;total_memory&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mf"&gt;1e9&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="s2"&gt;"GB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;PyTorch&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;2.9&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;rocm7&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="mf"&gt;2.0&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="na"&gt;git7e1940d4&lt;/span&gt;
&lt;span class="n"&gt;CUDA&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;available&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;True&lt;/span&gt;
&lt;span class="n"&gt;Device&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;AMD&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Radeon&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Graphics&lt;/span&gt;
&lt;span class="n"&gt;VRAM&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;103.1&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GB&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;PyTorch detected the GPU through ROCm's HIP-to-CUDA translation layer. The 103.1 GB figure represents the total addressable memory on this unified-memory APU, which includes both the 96 GB GPU allocation and additional system memory accessible through the HSA runtime.&lt;/p&gt;
&lt;p&gt;Note the use of &lt;code&gt;torch.cuda&lt;/code&gt; despite this being an AMD GPU. ROCm's HIP runtime presents itself through PyTorch's CUDA interface, so all CUDA API calls in PyTorch (device selection, memory management, kernel launches) work transparently with AMD hardware.&lt;/p&gt;
&lt;h3&gt;Before and After Summary&lt;/h3&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Component&lt;/th&gt;
&lt;th&gt;ROCm 7.0.2&lt;/th&gt;
&lt;th&gt;ROCm 7.2.0&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;ROCm Version&lt;/td&gt;
&lt;td&gt;7.0.2&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;7.2.0&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;amdgpu-dkms&lt;/td&gt;
&lt;td&gt;6.14.14&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;6.16.13&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;ROCk Module&lt;/td&gt;
&lt;td&gt;6.14.14&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;6.16.13&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;HSA Runtime Ext&lt;/td&gt;
&lt;td&gt;1.11&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;1.15&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;amdgpu Repo&lt;/td&gt;
&lt;td&gt;30.10.2&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;30.30&lt;/strong&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;PyTorch&lt;/td&gt;
&lt;td&gt;N/A&lt;/td&gt;
&lt;td&gt;2.9.1+rocm7.2.0&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Triton&lt;/td&gt;
&lt;td&gt;N/A&lt;/td&gt;
&lt;td&gt;3.5.1+rocm7.2.0&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Kernel&lt;/td&gt;
&lt;td&gt;6.14.0-37-generic&lt;/td&gt;
&lt;td&gt;6.14.0-37-generic&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Kernel Holds&lt;/td&gt;
&lt;td&gt;In place&lt;/td&gt;
&lt;td&gt;In place&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;h3&gt;Notes on gfx1151 Support&lt;/h3&gt;
&lt;p&gt;It's worth being explicit about the support situation. As of February 2026, gfx1151 (Strix Halo) is &lt;strong&gt;not listed&lt;/strong&gt; on AMD's official ROCm support matrix. The supported RDNA 3 targets are gfx1100 (Navi 31, RX 7900 XTX) and gfx1101 (Navi 32). Strix Halo's gfx1151 is an RDNA 3.5 derivative that shares much of the ISA with gfx1100 but has architectural differences in the memory subsystem and compute unit layout.&lt;/p&gt;
&lt;p&gt;In practice, ROCm 7.2 works on gfx1151. The kernel driver loads, &lt;code&gt;rocminfo&lt;/code&gt; detects the GPU, and PyTorch can allocate tensors and dispatch compute kernels. The &lt;code&gt;gfx11-generic&lt;/code&gt; ISA target in ROCm 7.2 is particularly helpful -- it provides a compatibility path for software that hasn't been explicitly compiled for gfx1151.&lt;/p&gt;
&lt;p&gt;However, "works" and "fully supported" are different things. There are known quirks:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;rocm-smi VRAM reporting&lt;/strong&gt;: Always shows 0% on the APU since it only tracks discrete VRAM&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;No official PyTorch gfx1151 builds&lt;/strong&gt;: The ROCm PyTorch wheels target gfx1100. They run on gfx1151 through ISA compatibility, but performance may not be optimal&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Large model loading latency&lt;/strong&gt;: Moving large models to the GPU device can be slow on the unified memory architecture, as the HSA runtime handles page migration differently than discrete GPU DMA transfers&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;If you're considering this hardware for production AI workloads, treat ROCm support as "functional but experimental." It works well enough for development, testing, and moderate inference workloads. For production training or latency-sensitive deployment, stick with hardware on AMD's official support list.&lt;/p&gt;
&lt;h3&gt;Rollback Plan&lt;/h3&gt;
&lt;p&gt;If the upgrade fails -- the DKMS module doesn't build, the GPU isn't detected after reboot, or something else goes wrong -- the rollback path is straightforward:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Uninstall ROCm 7.2:&lt;/li&gt;
&lt;/ol&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;amdgpu-uninstall&lt;span class="w"&gt; &lt;/span&gt;-y
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;purge&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;amdgpu-install
&lt;/pre&gt;&lt;/div&gt;

&lt;ol&gt;
&lt;li&gt;Reinstall ROCm 7.0.2:&lt;/li&gt;
&lt;/ol&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;wget&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/amdgpu-install/30.10.2/ubuntu/noble/amdgpu-install_30.10.2.0.30100200-2226257.24.04_all.deb
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;./amdgpu-install_30.10.2.0.30100200-2226257.24.04_all.deb
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;update
sudo&lt;span class="w"&gt; &lt;/span&gt;amdgpu-install&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;--usecase&lt;span class="o"&gt;=&lt;/span&gt;graphics,rocm
sudo&lt;span class="w"&gt; &lt;/span&gt;reboot
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The entire rollback takes about 15 minutes. Keep the old &lt;code&gt;amdgpu-install&lt;/code&gt; deb URL handy -- it's not linked from AMD's current download pages once a newer version is published.&lt;/p&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;Upgrading ROCm on hardware that isn't officially supported always carries some risk, but this upgrade from 7.0.2 to 7.2 on gfx1151 was uneventful. The procedure follows AMD's documented uninstall-reinstall approach with no deviations. The kernel hold strategy kept the kernel stable, the DKMS module built cleanly against 6.14.0-37-generic, and all post-reboot checks passed.&lt;/p&gt;
&lt;p&gt;The improvements in ROCm 7.2 -- particularly the HSA runtime bump to 1.15 and the introduction of the &lt;code&gt;gfx11-generic&lt;/code&gt; ISA target -- represent meaningful progress for Strix Halo users. The ecosystem is slowly catching up to the hardware. It's not there yet, but each release closes the gap.&lt;/p&gt;
&lt;p&gt;For anyone running a Ryzen AI MAX+ 395 or similar Strix Halo hardware on Ubuntu 24.04, this upgrade is worth doing. The procedure is well-defined, the rollback path is clear, and the newer driver stack brings tangible benefits. Just remember to hold your kernel first.&lt;/p&gt;
&lt;h3&gt;Recommended Resources&lt;/h3&gt;
&lt;h4&gt;Hardware&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/WZgnl1"&gt;Bosgame M5 AI Mini PC (Ryzen AI MAX+ 395)&lt;/a&gt; - The system used in this post&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/q87EAZ"&gt;GMKtec EVO X2 (Ryzen AI MAX+ 395)&lt;/a&gt; - Another Strix Halo mini PC option on Amazon&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Books&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/NTAPGg"&gt;&lt;em&gt;Deep Learning with PyTorch&lt;/em&gt;&lt;/a&gt; by Stevens, Antiga, Huang, Viehmann - Comprehensive guide to building, training, and tuning neural networks with PyTorch&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/Iu8KR4"&gt;&lt;em&gt;Programming PyTorch for Deep Learning&lt;/em&gt;&lt;/a&gt; by Ian Pointer - Practical guide to creating and deploying deep learning applications&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/zmKSQj"&gt;&lt;em&gt;Understanding Deep Learning&lt;/em&gt;&lt;/a&gt; by Simon Prince - Modern treatment of deep learning fundamentals&lt;/li&gt;
&lt;/ul&gt;</description><category>amd</category><category>amdgpu</category><category>dkms</category><category>driver upgrade</category><category>gfx1151</category><category>gpu computing</category><category>linux</category><category>pytorch</category><category>rocm</category><category>ryzen ai</category><category>strix halo</category><category>ubuntu</category><guid>https://tinycomputers.io/posts/upgrading-rocm-7.0-to-7.2-on-amd-strix-halo-gfx1151.html</guid><pubDate>Wed, 18 Feb 2026 16:00:00 GMT</pubDate></item><item><title>Image Editing on 10-Year-Old GPUs: NVIDIA P40 vs AMD Strix Halo</title><link>https://tinycomputers.io/posts/image-editing-on-10-year-old-gpus-nvidia-p40-vs-amd-strix-halo.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
&lt;div class="audio-widget-header"&gt;
&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
&lt;span class="audio-widget-label"&gt;Listen to this article&lt;/span&gt;
&lt;/div&gt;
&lt;audio controls preload="metadata"&gt;
&lt;source src="https://tinycomputers.io/image-editing-on-10-year-old-gpus-nvidia-p40-vs-amd-strix-halo_tts.mp3" type="audio/mpeg"&gt;
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&lt;div class="audio-widget-footer"&gt;20 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;h3&gt;Introduction&lt;/h3&gt;
&lt;p&gt;There's a certain satisfaction in making old hardware do new tricks. When NVIDIA released the Tesla P40 in 2016, deep learning was still finding its footing. ImageNet classification was the benchmark everyone cared about, GANs were generating blurry faces, and the idea of a 57-billion-parameter image editing model would have seemed like science fiction.&lt;/p&gt;
&lt;p&gt;Around the middle of 2017, when the P40 would have been seeing peak adoption in datacenters, I found myself in an advanced pattern recognition course, my final credits needed for a masters in computer science (the name hadn't been updated to reflect more contemporary terminology like "machine learning," let alone "deep learning"). The textbook was Bishop's &lt;a href="https://baud.rs/pme3zz"&gt;&lt;em&gt;Pattern Recognition and Machine Learning&lt;/em&gt;&lt;/a&gt;, a book that managed to make Bayesian inference feel both rigorous and approachable. We spent the last two weeks of the course looking at deep learning using TensorFlow, but we didn't even have GPU infrastructure available. Everything ran on CPU. It would have been great to have experienced the P40 in its prime, when 24 GB of VRAM and 3,840 CUDA cores made it one of the most capable inference GPUs money could buy. Instead, I'm getting acquainted with it a decade later, asking it to do things its designers never imagined.&lt;/p&gt;
&lt;p&gt;Fast forward to 2026, and here I am, running a 57-billion-parameter model on four of these decade-old GPUs, and comparing the results against AMD's latest Strix Halo APU, a chip that didn't exist until 2025.&lt;/p&gt;
&lt;p&gt;The model in question is &lt;a href="https://baud.rs/W8MlgE"&gt;FireRed-Image-Edit-1.0&lt;/a&gt; from FireRedTeam, a 57.7GB diffusion model built on the QwenImageEditPlusPipeline architecture. It takes an input image and a text prompt, then produces an edited version. The kind of thing that would have required a massive cloud GPU a couple of years ago.&lt;/p&gt;
&lt;p&gt;This post documents the full journey: the precision pitfalls of running modern diffusion models on Pascal-era GPUs, the quantization trade-offs that make or break image quality, and the head-to-head performance comparison that produced some genuinely surprising results. All of the inference scripts and output images are available on &lt;a href="https://baud.rs/V3qpTJ"&gt;GitHub&lt;/a&gt;.&lt;/p&gt;
&lt;h3&gt;The Hardware&lt;/h3&gt;
&lt;h4&gt;NVIDIA Tesla P40 (2016)&lt;/h4&gt;
&lt;p&gt;The P40 was NVIDIA's inference-focused datacenter GPU from the Pascal generation. The key specs for our purposes:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Architecture&lt;/strong&gt;: Pascal (sm_6.1)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;CUDA Cores&lt;/strong&gt;: 3,840&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory&lt;/strong&gt;: 24 GB GDDR5X&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Bandwidth&lt;/strong&gt;: 346 GB/s&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;FP32 Performance&lt;/strong&gt;: 12 TFLOPS&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;FP16 Performance&lt;/strong&gt;: Limited, no native FP16 tensor cores&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;BF16 Support&lt;/strong&gt;: None&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Price today&lt;/strong&gt;: &lt;a href="https://baud.rs/QaDJDo"&gt;~$100-200 per card on the secondary market&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;I have four of these cards in a server, giving me 96 GB of total VRAM, but spread across four separate memory spaces, which introduces its own challenges.&lt;/p&gt;
&lt;h4&gt;AMD Ryzen AI MAX+ 395 / Strix Halo (2025)&lt;/h4&gt;
&lt;p&gt;AMD's Strix Halo is a different beast entirely. It's an APU (CPU and GPU on the same die, sharing the same memory pool):&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;GPU Architecture&lt;/strong&gt;: RDNA 3.5 (gfx1151)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compute Units&lt;/strong&gt;: 40 CUs&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory&lt;/strong&gt;: 128 GB unified LPDDR5X (32 GB for CPU, 96 GB for VRAM)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Bandwidth&lt;/strong&gt;: ~256 GB/s (shared)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;BF16 Support&lt;/strong&gt;: Yes&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;FP16 Support&lt;/strong&gt;: Yes (Fast F16 Operation)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ROCm&lt;/strong&gt;: 7.9.0&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Price&lt;/strong&gt;: &lt;a href="https://baud.rs/q87EAZ"&gt;~$2,000+ for the complete system&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The unified memory architecture means all 96 GB is accessible to the GPU without any PCIe transfer overhead, and the entire model can live in a single memory space.&lt;/p&gt;
&lt;h3&gt;The Model: FireRed-Image-Edit-1.0&lt;/h3&gt;
&lt;p&gt;FireRed-Image-Edit is a diffusion-based image editing model with three major components:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Component&lt;/th&gt;
&lt;th&gt;Size&lt;/th&gt;
&lt;th&gt;Description&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Transformer&lt;/td&gt;
&lt;td&gt;40.9 GB&lt;/td&gt;
&lt;td&gt;QwenImageTransformer2DModel, 60 layers&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Text Encoder&lt;/td&gt;
&lt;td&gt;16.6 GB&lt;/td&gt;
&lt;td&gt;Qwen2.5-VL 7B vision-language model&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;VAE&lt;/td&gt;
&lt;td&gt;~0.3 GB&lt;/td&gt;
&lt;td&gt;AutoencoderKL for encoding/decoding images&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Total: &lt;strong&gt;57.7 GB&lt;/strong&gt; of model weights. The scheduler is FlowMatchEulerDiscreteScheduler, and the pipeline uses true classifier-free guidance (CFG), which roughly doubles the memory needed during inference since it runs both conditional and unconditional passes.&lt;/p&gt;
&lt;p&gt;The test task: take this input image and apply the prompt &lt;em&gt;"Add a red hat on the cat"&lt;/em&gt;; the model draws a cat wearing a red hat onto the book cover, rendered in the style of the O'Reilly animal illustrations.&lt;/p&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/firered-input.png.webp" alt="Input image, a person holding an O'Reilly Python book" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: right; padding: 20px;" loading="lazy"&gt;&lt;/p&gt;
&lt;h3&gt;The P40 Challenge: When FP16 Breaks Everything&lt;/h3&gt;
&lt;h4&gt;The Precision Problem&lt;/h4&gt;
&lt;p&gt;The first, and biggest, challenge with the P40s is numerical precision. Modern diffusion models are designed for BF16 (bfloat16), which has the same exponent range as FP32 (8 exponent bits, range ±3.4×10³⁸) but with reduced mantissa precision. The P40, being a Pascal-era GPU, supports neither BF16 nor proper FP16 tensor operations.&lt;/p&gt;
&lt;p&gt;FP16 has only 5 exponent bits, giving it a range of ±65,504. This might seem sufficient, but the diffusion scheduler's internal sigma values and the VAE's convolution operations routinely produce intermediate values that overflow this range. The FlowMatchEulerDiscreteScheduler, in particular, works with sigma schedules that can produce large intermediate values during the noise prediction and scaling steps. When these overflow FP16's limited range, they become NaN or Inf, and these corrupt values propagate through every subsequent operation (matrix multiplications, attention computations, residual connections) until the entire tensor is garbage.&lt;/p&gt;
&lt;p&gt;The result: NaN propagation that silently corrupts the entire pipeline, producing an all-black output image.&lt;/p&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/firered-p40-fp16-black.png.webp" alt="The output of FP16 inference on the P40, a completely black image from NaN corruption" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: left; padding: 20px;" loading="lazy"&gt;&lt;/p&gt;
&lt;p&gt;This was the most time-consuming discovery in the entire project. The model would load, the progress bar would advance through all 40 denoising steps without any indication of trouble, and then the output would be perfectly black: &lt;code&gt;mean=0.0, min=0, max=0&lt;/code&gt;. No error messages. No warnings. No NaN detection exceptions. Just silent numerical corruption that only becomes visible when you look at the final image.&lt;/p&gt;
&lt;p&gt;The debugging process was particularly frustrating because the corruption happens gradually. Partial NaN contamination in early steps doesn't crash anything; the attention mechanisms and residual connections continue to produce tensor outputs of the expected shapes. The model appears to be working normally right up until the final image is decoded from all-zero latents.&lt;/p&gt;
&lt;h4&gt;The FP32 Solution (and a Speed Surprise)&lt;/h4&gt;
&lt;p&gt;The fix was to run the entire pipeline in FP32: scheduler, VAE, and all non-quantized transformer layers. The quantized weights themselves stay compressed (INT8 or NF4), but every arithmetic operation uses full 32-bit precision.&lt;/p&gt;
&lt;p&gt;It wasn't enough to just set the quantization compute dtype to FP32; that only fixes the dequantized matmul operations inside the quantized layers. The scheduler's sigma arithmetic, the VAE's convolution operations, and the non-quantized components (layer norms, biases, attention scaling) all needed FP32 as well. Similarly, loading the pipeline with &lt;code&gt;torch_dtype=torch.float32&lt;/code&gt; but leaving the transformer's non-quantized layers in FP16 caused a dtype mismatch in the attention mechanism; PyTorch's scaled dot-product attention requires query, key, and value tensors to share the same dtype. Every component in the computational chain needed to be FP32.&lt;/p&gt;
&lt;p&gt;The one exception is the text encoder, which runs once before the denoising loop begins. It stays in FP16 on its own GPU, and its output embeddings are upcast to FP32 when transferred to the main device. This is safe because the text encoder doesn't participate in the iterative process where precision errors compound.&lt;/p&gt;
&lt;p&gt;Here's where things got interesting: &lt;strong&gt;FP32 was actually faster than FP16 on the P40.&lt;/strong&gt; The first attempts with FP16 ran at approximately 9 minutes per denoising step. After switching to FP32, the same operations completed in about 2.4 minutes per step with NF4, and 1.5 minutes per step with INT8. The P40's FP32 throughput is its native strength; it was designed for FP32 datacenter inference, after all. FP16 on Pascal is handled through slower pathways that add overhead rather than saving it.&lt;/p&gt;
&lt;h4&gt;Multi-GPU Device Orchestration&lt;/h4&gt;
&lt;p&gt;With 57.7 GB of model weights and only 24 GB per GPU, some form of model sharding or quantization is mandatory. After extensive testing, the optimal configuration for the P40s turned out to be:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;GPU 0&lt;/strong&gt;: INT8-quantized transformer (~22 GB)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU 1&lt;/strong&gt;: Text encoder in FP16 (~16.6 GB)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU 2&lt;/strong&gt;: VAE in FP32 (~6.6 GB including decode workspace)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU 3&lt;/strong&gt;: Unused&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;This layout requires significant monkey-patching of the diffusers pipeline. The &lt;code&gt;_execution_device&lt;/code&gt; property must be overridden to ensure latents are created on the correct GPU. The &lt;code&gt;encode_prompt&lt;/code&gt; method needs patching to route inputs to the text encoder's GPU and move the resulting embeddings back. And for the INT8 configuration, the VAE's encode and decode methods need wrappers to handle cross-device tensor transfers.&lt;/p&gt;
&lt;p&gt;The text encoder stays in FP16 because it fits on a single GPU and its outputs are immediately upcast to FP32 when moved to the main device. This is safe because the text encoder runs once at the beginning; it doesn't participate in the iterative denoising loop where precision matters most.&lt;/p&gt;
&lt;h4&gt;Quantization Quality: INT8 vs NF4&lt;/h4&gt;
&lt;p&gt;With the FP32 pipeline in place, I tested both INT8 (8-bit) and NF4 (4-bit) quantization for the transformer:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;NF4 (4-bit quantization):&lt;/strong&gt;
The NF4 approach uses bitsandbytes' normalized float 4-bit quantization with double quantization enabled. The transformer compresses from 40.9 GB to roughly 10 GB, easily fitting on a single P40 alongside the VAE. However, the output quality was significantly degraded, with heavy noise and grain throughout the image, even at the full 40 denoising steps. Each denoising step introduces small numerical errors from the 4-bit weight approximations, and these errors compound across 40 iterations.&lt;/p&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/firered-p40-nf4-noisy.png.webp" alt="P40 NF4 output, 4-bit quantization introduces heavy noise that compounds over 40 denoising steps" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: right; padding: 20px;" loading="lazy"&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;INT8 (8-bit quantization):&lt;/strong&gt;
INT8 produced dramatically better results. The output was clean and sharp, visually comparable to what you'd expect from full-precision inference on a modern GPU. The 8-bit precision preserves enough information in the weights that the per-step errors don't accumulate into visible artifacts.&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;p&gt;&lt;img src="https://tinycomputers.io/images/firered-p40-int8-clean.png.webp" alt="P40 INT8 output, clean and sharp, with a cat in a red hat added to the book cover" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: left; padding: 20px;" loading="lazy"&gt;&lt;/p&gt;
&lt;p&gt;The trade-off is memory: the INT8 transformer occupies ~22 GB, nearly filling an entire P40. This is why the VAE had to move to a third GPU; there wasn't enough headroom on GPU 0 for the VAE's convolution workspace during the decode phase. An early attempt that kept the VAE on GPU 0 ran all 40 denoising steps successfully, only to crash with an out-of-memory error at the very last operation.&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;h3&gt;The Strix Halo Experience: Simplicity Wins&lt;/h3&gt;
&lt;h4&gt;BF16 Full Precision&lt;/h4&gt;
&lt;p&gt;Running the same model on the Strix Halo was refreshingly simple. With 96 GB of unified VRAM and native BF16 support, the entire pipeline loads in a few lines:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;pipe&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;QwenImageEditPlusPipeline&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;from_pretrained&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;model_path&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;torch_dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bfloat16&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;pipe&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"cuda:0"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;No quantization. No multi-GPU patching. No device transfer hooks. No FP32 workarounds. The model loads in BF16 and runs natively.&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;p&gt;&lt;img src="https://tinycomputers.io/images/firered-strix-bf16-clean.png.webp" alt="Strix Halo BF16 output, visually identical to the P40 INT8 result" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: right; padding: 20px;" loading="lazy"&gt;&lt;/p&gt;
&lt;p&gt;During inference, the pipeline consumed approximately 75 GB of VRAM (the true CFG doubles the workspace requirements), well within the 96 GB budget.&lt;/p&gt;
&lt;p&gt;The first run did take about 35 minutes of JIT kernel compilation before producing any inference steps; ROCm compiles HIP kernels for the gfx1151 architecture on first use. During this phase, the GPU sits at 100% utilization with no visible progress, which can be alarming if you're not expecting it. The GPU temperature climbed from 31°C idle to 69°C, and power draw went from 9W to 119W as the compiler worked through the hundreds of unique kernel configurations needed by a 60-layer transformer. These compiled kernels are cached, so subsequent runs skip this overhead entirely.&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;h4&gt;Quantization on Strix Halo: Does It Help?&lt;/h4&gt;
&lt;p&gt;Given the surprising performance parity between the two systems at full precision, I tested whether quantization could speed up the Strix Halo by reducing memory traffic. The theory was that if the workload is memory-bandwidth-limited, smaller model weights should mean faster inference.&lt;/p&gt;
&lt;p&gt;The results were definitive:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Configuration&lt;/th&gt;
&lt;th&gt;Per-Step Time&lt;/th&gt;
&lt;th&gt;40-Step Estimate&lt;/th&gt;
&lt;th&gt;VRAM Used&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;BF16 (full precision)&lt;/td&gt;
&lt;td&gt;82.6s&lt;/td&gt;
&lt;td&gt;55 min&lt;/td&gt;
&lt;td&gt;~75 GB&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;NF4 (4-bit)&lt;/td&gt;
&lt;td&gt;83.5s&lt;/td&gt;
&lt;td&gt;56 min&lt;/td&gt;
&lt;td&gt;~30 GB&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;INT8 (8-bit)&lt;/td&gt;
&lt;td&gt;94.9s&lt;/td&gt;
&lt;td&gt;63 min&lt;/td&gt;
&lt;td&gt;~44 GB&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;NF4 quantization produced virtually identical speed to full BF16. The model shrank from 75 GB to 30 GB of VRAM usage, but inference time didn't improve at all. INT8 was actually &lt;em&gt;slower&lt;/em&gt;; the bitsandbytes INT8 matmul path adds dequantization overhead that more than offsets any memory bandwidth savings.&lt;/p&gt;
&lt;p&gt;This tells us something important about the Strix Halo's performance profile for this workload: &lt;strong&gt;it's compute-bound, not memory-bound.&lt;/strong&gt; The RDNA 3.5 GPU's 40 compute units are the bottleneck, not the LPDDR5X memory bandwidth. Reducing the model size doesn't help because the GPU is already busy with arithmetic, not waiting on memory.&lt;/p&gt;
&lt;p&gt;This contrasts with LLM inference workloads (text generation), where the Strix Halo's large memory pool is a genuine advantage. LLM token generation is almost entirely memory-bound, making quantization directly translate to speed improvements. Each token generation pass reads the entire model's weights but performs relatively little computation per weight. Diffusion models are the opposite: each denoising step runs a full forward pass through 60 transformer layers with dense matrix multiplications, attention computations, and residual connections. The arithmetic intensity is much higher, putting the pressure squarely on the GPU's compute units rather than its memory subsystem.&lt;/p&gt;
&lt;h3&gt;Head-to-Head: The Numbers&lt;/h3&gt;
&lt;p&gt;Here's the complete performance comparison across all tested configurations:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;System&lt;/th&gt;
&lt;th&gt;Configuration&lt;/th&gt;
&lt;th&gt;Per-Step&lt;/th&gt;
&lt;th&gt;40 Steps&lt;/th&gt;
&lt;th&gt;Image Quality&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Strix Halo&lt;/td&gt;
&lt;td&gt;BF16 full precision&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;82.6s&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;&lt;strong&gt;55 min&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Clean, sharp&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Strix Halo&lt;/td&gt;
&lt;td&gt;NF4 (4-bit)&lt;/td&gt;
&lt;td&gt;83.5s&lt;/td&gt;
&lt;td&gt;56 min&lt;/td&gt;
&lt;td&gt;Clean (10-step test)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Strix Halo&lt;/td&gt;
&lt;td&gt;INT8 (8-bit)&lt;/td&gt;
&lt;td&gt;94.9s&lt;/td&gt;
&lt;td&gt;63 min&lt;/td&gt;
&lt;td&gt;Clean (10-step test)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;4× P40&lt;/td&gt;
&lt;td&gt;INT8 + FP32 pipeline&lt;/td&gt;
&lt;td&gt;87.5s&lt;/td&gt;
&lt;td&gt;58 min&lt;/td&gt;
&lt;td&gt;Clean, sharp&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;4× P40&lt;/td&gt;
&lt;td&gt;NF4 + FP32 pipeline&lt;/td&gt;
&lt;td&gt;145.9s&lt;/td&gt;
&lt;td&gt;97 min&lt;/td&gt;
&lt;td&gt;Heavy noise/grain&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The headline result: &lt;strong&gt;a single AMD Strix Halo APU from 2025 is about 6% faster per step than four NVIDIA P40s from 2016 running INT8-quantized inference.&lt;/strong&gt; That's not exactly the generational leap you might expect from a decade of GPU evolution.&lt;/p&gt;
&lt;p&gt;To be fair, the comparison isn't entirely apples-to-apples. The P40 is running an 8-bit quantized model (less computation per step but with dequantization overhead), while the Strix Halo runs the full BF16 model. The P40's dedicated GDDR5X provides 346 GB/s of bandwidth to a single GPU, while the Strix Halo's LPDDR5X shares its ~256 GB/s between the CPU and GPU. And the P40 setup requires three GPUs working in concert, while the Strix Halo uses a single unified memory space.&lt;/p&gt;
&lt;h3&gt;Lessons Learned&lt;/h3&gt;
&lt;h4&gt;Old GPUs Are Surprisingly Capable&lt;/h4&gt;
&lt;p&gt;&lt;a href="https://baud.rs/QaDJDo"&gt;Four P40s&lt;/a&gt; at ~$500 total produce inference quality and speed that's competitive with a &lt;a href="https://baud.rs/q87EAZ"&gt;$2,000+ modern APU system&lt;/a&gt;. The P40's 346 GB/s memory bandwidth per card and strong FP32 throughput remain relevant even for models that were designed for hardware two generations newer. The main challenge is software engineering: working around the precision limitations and multi-GPU complexity takes significant effort.&lt;/p&gt;
&lt;h4&gt;Precision Matters More Than Speed&lt;/h4&gt;
&lt;p&gt;The single most impactful discovery in this project was that FP16 silently corrupts diffusion model outputs on Pascal GPUs. There are no error messages, no NaN warnings during inference, just a black image at the end. The fix (using FP32 everywhere) actually improved performance, which was counterintuitive. The lesson: when dealing with older hardware, always validate your numerical precision assumptions before optimizing for speed.&lt;/p&gt;
&lt;h4&gt;Quantization Is Not Free&lt;/h4&gt;
&lt;p&gt;On the P40s, INT8 quantization was essential (the model simply wouldn't fit otherwise) and produced excellent results. NF4 was too aggressive; the 4-bit precision degraded output quality visibly.&lt;/p&gt;
&lt;p&gt;On the Strix Halo, quantization was unnecessary and even counterproductive. INT8 added overhead without any speed benefit, and NF4 didn't save time despite dramatically reducing memory usage. The takeaway: quantization's value depends entirely on your bottleneck. If you're compute-bound, smaller weights don't help.&lt;/p&gt;
&lt;h4&gt;Unified Memory Is Underrated&lt;/h4&gt;
&lt;p&gt;The Strix Halo's greatest advantage wasn't raw performance; it was simplicity. Loading a 57.7 GB model into a single 96 GB memory space eliminates an entire category of engineering problems: no device placement, no cross-GPU tensor transfers, no monkey-patching encode/decode methods, no VAE OOM surprises at the decode step. The inference script for the Strix Halo is about 50 lines. The P40 version is over 150, most of it careful device orchestration code.&lt;/p&gt;
&lt;p&gt;For anyone who values development velocity and code maintainability over squeezing the last dollar of cost-efficiency out of used datacenter hardware, unified memory APUs have a compelling argument even when they don't win on raw throughput.&lt;/p&gt;
&lt;h3&gt;What About Newer NVIDIA GPUs?&lt;/h3&gt;
&lt;p&gt;It's worth putting these numbers in context. An NVIDIA RTX 4090 with 24 GB of VRAM and native BF16/FP16 tensor core support would likely run this model (with INT8 quantization) at roughly 10-15 seconds per step, 5-8x faster than either system tested here. An A100 with 80 GB could run it unquantized in BF16 at similar or better speeds. The P40 and Strix Halo are both firmly in the "budget/accessible" tier of AI hardware.&lt;/p&gt;
&lt;p&gt;The more interesting comparison is cost-per-step. &lt;a href="https://baud.rs/QaDJDo"&gt;Four P40s from eBay&lt;/a&gt; cost about $500 total (plus a server that can host them). The &lt;a href="https://baud.rs/q87EAZ"&gt;Strix Halo system&lt;/a&gt; runs about $2,000+. Both produce essentially the same result at the same speed. The P40 route demands more engineering knowledge; the Strix Halo route demands more money.&lt;/p&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;Both systems successfully ran a 57.7 GB diffusion model that would have been considered impossibly large for consumer hardware just a few years ago. The P40s did it through clever quantization and multi-GPU orchestration. The Strix Halo did it by brute force: 96 GB of memory and native BF16 support.&lt;/p&gt;
&lt;p&gt;The performance story is more nuanced than "newer is always better." For diffusion model inference, the NVIDIA P40 (a card you can buy for $100 on eBay) remains remarkably competitive when properly configured. It requires more engineering effort, and you need to know the precision pitfalls, but the results speak for themselves.&lt;/p&gt;
&lt;p&gt;The Strix Halo's strength lies not in raw speed but in its unified memory architecture and modern instruction set support. It eliminates the multi-GPU complexity entirely, runs native BF16 without precision hacks, and provides a development experience that's orders of magnitude simpler. For iterating on models, testing new architectures, or just avoiding the headaches of cross-device tensor management, that simplicity has real value.&lt;/p&gt;
&lt;p&gt;If you're considering hardware for running large diffusion models locally, the choice comes down to how you value your time versus your budget. Four P40s and a weekend of debugging will get you to roughly the same place as a Strix Halo system that just works out of the box. Both paths lead to a cat in a red hat.&lt;/p&gt;
&lt;h3&gt;Recommended Resources&lt;/h3&gt;
&lt;p&gt;&lt;strong&gt;Hardware&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/QaDJDo"&gt;NVIDIA Tesla P40 24GB&lt;/a&gt; - The GPU used in this post. Available on eBay for a fraction of the original price. You'll need a server with PCIe x16 slots and adequate cooling.&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/q87EAZ"&gt;GMKtec EVO-X2 (AMD Ryzen AI MAX+ 395)&lt;/a&gt; - A compact Strix Halo mini PC with 128GB unified LPDDR5X 8000MHz, WiFi 7, and USB4. A representative platform for running large models on Strix Halo.&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Books&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/pme3zz"&gt;&lt;em&gt;Pattern Recognition and Machine Learning&lt;/em&gt;&lt;/a&gt; by Christopher M. Bishop - The classic that introduced many to Bayesian methods and kernel machines. Still one of the best foundations for understanding the statistical principles behind modern ML.&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/dnhZCN"&gt;&lt;em&gt;Hands-On Generative AI with Transformers and Diffusion Models&lt;/em&gt;&lt;/a&gt; by Omar Sanseviero, Pedro Cuenca, Apolinário Passos, and Jonathan Whitaker - A practical guide to building and fine-tuning diffusion models using the Hugging Face ecosystem, including the diffusers library used in this post.&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/vTOHER"&gt;&lt;em&gt;Understanding Deep Learning&lt;/em&gt;&lt;/a&gt; by Simon J.D. Prince - A thorough modern treatment of deep learning fundamentals through diffusion models, with excellent visualizations and mathematical rigor.&lt;/li&gt;
&lt;/ul&gt;</description><category>ai hardware</category><category>amd strix halo</category><category>benchmarks</category><category>bf16</category><category>bitsandbytes</category><category>diffusion models</category><category>firered</category><category>fp32</category><category>gfx1151</category><category>gpu computing</category><category>image generation</category><category>int8</category><category>machine learning</category><category>nf4</category><category>nvidia p40</category><category>pascal</category><category>pytorch</category><category>quantization</category><category>rdna 3.5</category><category>rocm</category><guid>https://tinycomputers.io/posts/image-editing-on-10-year-old-gpus-nvidia-p40-vs-amd-strix-halo.html</guid><pubDate>Tue, 17 Feb 2026 18:00:00 GMT</pubDate></item><item><title>Partial LLM Loading: Running Models Too Big for VRAM</title><link>https://tinycomputers.io/posts/partial-llm-loading-running-models-too-big-for-vram.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
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&lt;div class="audio-widget-footer"&gt;6:59 · AI-generated narration&lt;/div&gt;
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&lt;p&gt;What happens when you want to run a 70B parameter model but only have 24GB of VRAM? Traditionally, you either quantize aggressively, &lt;a href="https://baud.rs/BJLKdd"&gt;rent cloud GPUs&lt;/a&gt;, or accept that the model is simply out of reach. But there's a third option that's becoming increasingly viable: partial loading, where you keep some layers on the CPU or disk and stream them to the GPU on demand.&lt;/p&gt;
&lt;p&gt;I spent a couple days testing partial loading strategies on an &lt;a href="https://baud.rs/3vAejv"&gt;AMD Strix Halo APU with 128GB of unified memory&lt;/a&gt;, configured with 96GB allocated to VRAM, trying to answer a simple question: can you actually run models that don't fit in VRAM, and if so, how much performance do you sacrifice?&lt;/p&gt;
&lt;p&gt;The answer turns out to be: yes, you can, and the performance penalty is more nuanced than I expected.&lt;/p&gt;
&lt;h3&gt;The Memory Problem&lt;/h3&gt;
&lt;p&gt;Large language models are memory hogs. A 7B parameter model in bfloat16 needs roughly 14GB just for the weights. A 70B model needs 140GB. An 80B MoE model might need 160GB or more. Most consumer GPUs max out at 24GB, with only a handful of prosumer cards reaching 48GB.&lt;/p&gt;
&lt;p&gt;The traditional solutions each have trade-offs:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Quantization&lt;/strong&gt; reduces memory requirements by storing weights in lower precision formats. INT8 cuts memory in half. INT4 cuts it to a quarter. But quantization also reduces quality, sometimes significantly for complex reasoning tasks.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Model sharding&lt;/strong&gt; across multiple GPUs works if you have multiple GPUs. Most people don't.  Early on (e.g. two years ago), this is how I experimented with models, a handful of Pascal chipset NVIDIA GPUs in a former crypto mining server.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Cloud inference&lt;/strong&gt; works but adds latency, costs money per token, and means your data leaves your machine.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Partial loading&lt;/strong&gt; offers a fourth path: keep the model weights somewhere other than VRAM (CPU RAM, disk, NVMe) and load them into the GPU only when needed. You take a latency hit on every layer that needs to be fetched, but you can run models that would otherwise be impossible.&lt;/p&gt;
&lt;h3&gt;Understanding Transformer Layer Architecture&lt;/h3&gt;
&lt;p&gt;To understand why partial loading works, you need to understand how transformers process information. A typical LLM consists of:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Embedding layer&lt;/strong&gt;: Converts input tokens to vectors. Relatively small.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Decoder layers&lt;/strong&gt;: The bulk of the model. A 70B parameter model might have 80+ decoder layers, each containing attention heads and a feed-forward network (FFN).&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Final layer norm and output projection&lt;/strong&gt;: Converts the final hidden states back to token probabilities. Relatively small.&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;The key insight is that inference is sequential through the layers. When processing a token, you go through layer 0, then layer 1, then layer 2, and so on. You never need layer 5 while you're processing layer 3. This means you can theoretically keep only one layer's weights in VRAM at a time, loading the next layer while processing the current one.&lt;/p&gt;
&lt;p&gt;In practice, keeping &lt;em&gt;all&lt;/em&gt; layers streaming from disk adds too much latency. The sweet spot is typically keeping some layers resident in VRAM (usually the first few and last few, which see the most traffic) while streaming the middle layers on demand.&lt;/p&gt;
&lt;h3&gt;The Hardware Setup&lt;/h3&gt;
&lt;p&gt;My test machine is an AMD Strix Halo APU:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Hardware Configuration:
&lt;span class="k"&gt;-&lt;/span&gt; AMD Radeon 8060S (gfx1151)
&lt;span class="k"&gt;-&lt;/span&gt; 128GB unified memory (96GB VRAM / 32GB system)
&lt;span class="k"&gt;-&lt;/span&gt; ROCm 7.0 with HSA_OVERRIDE_GFX_VERSION=11.0.0
&lt;span class="k"&gt;-&lt;/span&gt; PyTorch 2.9.1+rocm6.3
&lt;span class="k"&gt;-&lt;/span&gt; NVMe SSD: Samsung 990 Pro 2TB (PCIe 4.0, 7450 MB/s read)
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The unified memory architecture is interesting for this experiment. On a discrete GPU, moving weights from CPU RAM to VRAM requires crossing the PCIe bus, which tops out at around 64GB/s for PCIe 4.0 x16. On the Strix Halo APU, both "GPU memory" and "CPU memory" share the same physical RAM; it's just a question of which pages are mapped for GPU access.&lt;/p&gt;
&lt;p&gt;This should give partial loading an advantage on APUs, since there's no physical data movement, just page table updates. The actual numbers bear this out, as we'll see.&lt;/p&gt;
&lt;h3&gt;Three Approaches to Partial Loading&lt;/h3&gt;
&lt;p&gt;I tested three different strategies for loading models that exceed VRAM:&lt;/p&gt;
&lt;h4&gt;1. llama.cpp with Partial GPU Offloading&lt;/h4&gt;
&lt;p&gt;The simplest approach uses &lt;a href="https://baud.rs/llamacpp"&gt;llama.cpp's&lt;/a&gt; &lt;code&gt;-ngl&lt;/code&gt; (number of GPU layers) flag. This lets you specify exactly how many transformer layers go on the GPU, with the rest staying on CPU.&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;./main&lt;span class="w"&gt; &lt;/span&gt;-m&lt;span class="w"&gt; &lt;/span&gt;models/llama-70b-chat.gguf&lt;span class="w"&gt; &lt;/span&gt;-ngl&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="m"&gt;35&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-p&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"The capital of France is"&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;-n&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="m"&gt;50&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;With a 70B model that has 80 layers, setting &lt;code&gt;-ngl 35&lt;/code&gt; puts roughly 44% of the model on the GPU and 56% on CPU. The GPU handles the compute-intensive matrix multiplications, while the CPU layers run on AMD's Zen cores.&lt;/p&gt;
&lt;p&gt;Advantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Simple to configure&lt;/li&gt;
&lt;li&gt;Automatic handling of which layers go where&lt;/li&gt;
&lt;li&gt;Works with GGUF quantized models&lt;/li&gt;
&lt;li&gt;CPU layers use optimized AVX-512 implementations&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Disadvantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Static partitioning: layers stay where they're assigned&lt;/li&gt;
&lt;li&gt;CPU inference is much slower than GPU&lt;/li&gt;
&lt;li&gt;Limited to llama.cpp's supported architectures&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;2. HuggingFace Accelerate Disk Offloading&lt;/h4&gt;
&lt;p&gt;&lt;a href="https://baud.rs/accelerate"&gt;HuggingFace's Accelerate library&lt;/a&gt; provides &lt;code&gt;device_map="auto"&lt;/code&gt; with disk offloading:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;transformers&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;AutoModelForCausalLM&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;AutoTokenizer&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;accelerate&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;infer_auto_device_map&lt;/span&gt;

&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;AutoModelForCausalLM&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;from_pretrained&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="s2"&gt;"meta-llama/Llama-3.2-70B-Instruct"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;device_map&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"auto"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;offload_folder&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"./offload"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;torch_dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bfloat16&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;When VRAM is insufficient, Accelerate automatically spills layers to disk (or CPU RAM if you use &lt;code&gt;offload_buffers=True&lt;/code&gt;). During inference, layers are loaded as needed.&lt;/p&gt;
&lt;p&gt;Advantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Works with any HuggingFace model&lt;/li&gt;
&lt;li&gt;Automatic layer placement decisions&lt;/li&gt;
&lt;li&gt;Can use disk for infinite capacity&lt;/li&gt;
&lt;li&gt;Integrates with the broader HuggingFace ecosystem&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Disadvantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Disk I/O is slow (even NVMe)&lt;/li&gt;
&lt;li&gt;Layer loading happens synchronously&lt;/li&gt;
&lt;li&gt;Each token generation can require full model traversal&lt;/li&gt;
&lt;li&gt;Memory peaks during layer swaps&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;3. oLLM Layer Streaming&lt;/h4&gt;
&lt;p&gt;The most sophisticated approach I tested was &lt;a href="https://baud.rs/ollm"&gt;oLLM&lt;/a&gt;, a library designed specifically for layer-by-layer streaming from SSD to GPU. Unlike HuggingFace's approach, oLLM implements asynchronous layer prefetching: while one layer is processing on the GPU, the next layer is being loaded.&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;ollm&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Inference&lt;/span&gt;

&lt;span class="n"&gt;o&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Inference&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"llama3-1B-chat"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"cuda:0"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ini_model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;models_dir&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"./models/"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Offload half the layers to CPU&lt;/span&gt;
&lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;offload_layers_to_cpu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;layers_num&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Generate&lt;/span&gt;
&lt;span class="n"&gt;response&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"The capital of France is"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;max_tokens&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The library instruments each layer load, giving you visibility into the streaming behavior:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;layer_load&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mf"&gt;0.002&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.004&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.004&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.004&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.004&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mf"&gt;0.242&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This tells you each layer took about 4ms to load, and the total token generation time was 242ms.&lt;/p&gt;
&lt;p&gt;Advantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Asynchronous prefetching reduces latency&lt;/li&gt;
&lt;li&gt;Per-layer timing instrumentation&lt;/li&gt;
&lt;li&gt;Designed specifically for memory-constrained scenarios&lt;/li&gt;
&lt;li&gt;Can leverage GPU Direct Storage (GDS) for faster NVMe-to-GPU transfers&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Disadvantages:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Limited model architecture support&lt;/li&gt;
&lt;li&gt;Requires transformers 4.x (incompatible with 5.0)&lt;/li&gt;
&lt;li&gt;Less mature than llama.cpp or HuggingFace&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Benchmarking Partial Loading&lt;/h3&gt;
&lt;p&gt;I ran a series of tests with Llama 3.2 1B (16 layers, 2.8GB model size) to measure the impact of partial loading:&lt;/p&gt;
&lt;h4&gt;Test Configuration&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;model_id&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s2"&gt;"llama3-1B-chat"&lt;/span&gt;
&lt;span class="n"&gt;prompt&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s2"&gt;"The capital of France is"&lt;/span&gt;
&lt;span class="n"&gt;max_tokens&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;50&lt;/span&gt;
&lt;span class="n"&gt;configurations&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;
    &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s2"&gt;"gpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"cpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;},&lt;/span&gt;   &lt;span class="c1"&gt;# Full GPU&lt;/span&gt;
    &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s2"&gt;"gpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"cpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;},&lt;/span&gt;   &lt;span class="c1"&gt;# 75% GPU&lt;/span&gt;
    &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s2"&gt;"gpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"cpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;},&lt;/span&gt;    &lt;span class="c1"&gt;# 50% GPU&lt;/span&gt;
    &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s2"&gt;"gpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"cpu_layers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;},&lt;/span&gt;   &lt;span class="c1"&gt;# 25% GPU&lt;/span&gt;
&lt;span class="p"&gt;]&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Results: oLLM Layer Streaming&lt;/h4&gt;
&lt;p&gt;With the oLLM library and 8 of 16 layers offloaded to CPU:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;Configuration&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;CPU&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;
&lt;span class="n"&gt;Model&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;loading&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;2.3&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;seconds&lt;/span&gt;
&lt;span class="n"&gt;First&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;token&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;latency&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;242&lt;/span&gt;&lt;span class="n"&gt;ms&lt;/span&gt;
&lt;span class="n"&gt;Per&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;layer&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nb"&gt;load&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;~&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="n"&gt;ms&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;average&lt;/span&gt;
&lt;span class="n"&gt;Output&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;quality&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Correct&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"The capital of France is Paris."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The layer load times are interesting. At 4ms per layer, you might expect significant overhead when 8 layers need to be fetched from CPU RAM. But because oLLM prefetches the next layer while the current one is executing, the effective latency impact is much smaller.&lt;/p&gt;
&lt;p&gt;On a discrete GPU with PCIe transfers, these numbers would be different. Loading a 200MB layer across PCIe 4.0 x16 takes about 3ms at full bandwidth. But PCIe rarely achieves full bandwidth due to protocol overhead, so real-world numbers are typically 4-6ms per layer, similar to what I measured on the APU.&lt;/p&gt;
&lt;h4&gt;The Quality Question&lt;/h4&gt;
&lt;p&gt;A critical question with partial loading: does offloading layers affect output quality?&lt;/p&gt;
&lt;p&gt;The answer is no, with an important caveat. Partial loading doesn't change the weights; it just changes where they're stored. The same matrices participate in the same computations. The outputs are bit-identical to full GPU inference.&lt;/p&gt;
&lt;p&gt;The caveat is that some partial loading implementations use reduced precision for CPU layers (FP32 instead of bfloat16, or even FP16) to speed up CPU computation. This can introduce small numerical differences. In my testing with oLLM, both GPU and CPU layers used the same bfloat16 precision, so outputs matched exactly.&lt;/p&gt;
&lt;h3&gt;Practical Performance Analysis&lt;/h3&gt;
&lt;p&gt;Let's break down what partial loading actually costs in terms of latency.&lt;/p&gt;
&lt;h4&gt;Layer Loading Overhead&lt;/h4&gt;
&lt;p&gt;For a model with N layers, where K layers are on CPU:
- Each token generation requires K layer loads
- If each load takes T_load milliseconds
- The total added latency per token is approximately K * T_load&lt;/p&gt;
&lt;p&gt;With oLLM's prefetching, the effective latency is lower because loads overlap with computation. In my tests:
- K = 8 layers on CPU
- T_load = 4ms per layer
- Naive overhead = 32ms per token
- Actual overhead (with prefetching) = ~10-15ms per token&lt;/p&gt;
&lt;h4&gt;Memory Bandwidth Bottleneck&lt;/h4&gt;
&lt;p&gt;The real constraint isn't CPU speed; it's memory bandwidth. A single transformer layer in a 70B model might be 800MB-1.2GB. Loading this from:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;NVMe SSD: 7.4GB/s = 108-162ms per layer&lt;/li&gt;
&lt;li&gt;DDR5 RAM: 80GB/s = 10-15ms per layer&lt;/li&gt;
&lt;li&gt;PCIe 4.0 x16: 32GB/s = 25-37ms per layer (in practice)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;This is why oLLM's authors recommend fast NVMe SSDs (&lt;a href="https://baud.rs/pqpsCq"&gt;Samsung 990 Pro&lt;/a&gt;, &lt;a href="https://baud.rs/XluQ37"&gt;WD SN850X&lt;/a&gt;) and ideally GPU Direct Storage, which bypasses the CPU entirely for disk-to-GPU transfers.&lt;/p&gt;
&lt;h4&gt;Token Generation Speed Comparison&lt;/h4&gt;
&lt;p&gt;For the Llama 3.2 1B model (16 layers total), I ran benchmarks across multiple prompts and averaging the results:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Configuration&lt;/th&gt;
&lt;th&gt;Avg Tokens/sec&lt;/th&gt;
&lt;th&gt;Avg Inference Time&lt;/th&gt;
&lt;th&gt;Load Time&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Full GPU (0 offloaded)&lt;/td&gt;
&lt;td&gt;1.92 tok/s&lt;/td&gt;
&lt;td&gt;13.90s&lt;/td&gt;
&lt;td&gt;0.46s&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;4 layers on CPU&lt;/td&gt;
&lt;td&gt;2.23 tok/s&lt;/td&gt;
&lt;td&gt;11.09s&lt;/td&gt;
&lt;td&gt;0.55s&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;8 layers on CPU&lt;/td&gt;
&lt;td&gt;2.26 tok/s&lt;/td&gt;
&lt;td&gt;10.87s&lt;/td&gt;
&lt;td&gt;0.65s&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;12 layers on CPU&lt;/td&gt;
&lt;td&gt;3.36 tok/s&lt;/td&gt;
&lt;td&gt;7.30s&lt;/td&gt;
&lt;td&gt;0.75s&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Wait, that's backwards from what you'd expect. More layers on CPU resulted in &lt;em&gt;faster&lt;/em&gt; inference?&lt;/p&gt;
&lt;p&gt;This counterintuitive result makes sense when you consider the Strix Halo's unified memory architecture. Unlike a discrete GPU where CPU-to-GPU transfers cross the PCIe bus, the APU's "CPU memory" and "GPU memory" are the same physical RAM. Moving layers between them is essentially just a page table operation, not a data copy.&lt;/p&gt;
&lt;p&gt;The performance improvement with more offloading likely comes from reduced memory bandwidth contention. When all layers are "on GPU," they're competing for the same memory channels. With layer streaming, only the active layer's weights occupy high-bandwidth GPU memory paths, while inactive layers sit in lower-priority memory regions.&lt;/p&gt;
&lt;p&gt;This finding suggests that on unified memory systems (AMD APUs, Apple Silicon), partial loading might actually be &lt;em&gt;preferable&lt;/em&gt; to full GPU loading for memory-bandwidth-bound workloads. The conventional wisdom (that GPU is always faster) doesn't hold when there's no physical separation between GPU and CPU memory.&lt;/p&gt;
&lt;h3&gt;Transformer Version Compatibility Issues&lt;/h3&gt;
&lt;p&gt;One challenge I encountered was library compatibility. oLLM was designed for transformers 4.x, and when I initially ran it with &lt;a href="https://baud.rs/transformers"&gt;transformers 5.0&lt;/a&gt;, I hit several errors:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="ne"&gt;TypeError&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s1"&gt;'Qwen3NextExperts'&lt;/span&gt; &lt;span class="nb"&gt;object&lt;/span&gt; &lt;span class="ow"&gt;is&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="n"&gt;iterable&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This error occurred because transformers 5.0 changed how Mixture of Experts (MoE) layers expose their expert modules. The oLLM library's layer streaming code assumed it could iterate over &lt;code&gt;self.mlp.experts&lt;/code&gt;, but the new implementation uses a different structure.&lt;/p&gt;
&lt;p&gt;There were also weight shape mismatches:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;model.layers.0.input_layernorm.weight: found shape torch.Size([2048])
in the checkpoint and torch.Size([0]) in the model instantiated
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This happened because oLLM creates placeholder layers with zero-size tensors to save memory, then loads the actual weights on demand. The new transformers version changed how these placeholder shapes were inferred.&lt;/p&gt;
&lt;p&gt;The solution was straightforward: pin transformers to version 4.57.6:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;'transformers&amp;lt;5.0'&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This is a common pattern with cutting-edge ML libraries. The ecosystem moves fast, and specialized tools often lag behind major version updates.&lt;/p&gt;
&lt;h3&gt;Storage and System Requirements&lt;/h3&gt;
&lt;p&gt;Before diving into partial loading, it's worth understanding the storage requirements. Unlike full GPU loading where you only need enough VRAM, partial loading requires sufficient storage capacity and bandwidth.&lt;/p&gt;
&lt;h4&gt;Disk Space Calculations&lt;/h4&gt;
&lt;p&gt;Model files on disk are typically stored in safetensors or GGUF format. A rough calculation:
- 7B model (bfloat16): ~14GB
- 13B model (bfloat16): ~26GB
- 70B model (bfloat16): ~140GB
- 70B model (GGUF Q4_K_M): ~40GB&lt;/p&gt;
&lt;p&gt;For oLLM's layer streaming, you also need the model to be split into per-layer shards, which the library handles automatically during the first load. This adds temporary storage overhead during the conversion process.&lt;/p&gt;
&lt;h4&gt;RAM Requirements&lt;/h4&gt;
&lt;p&gt;CPU offloading means the offloaded layers live in system RAM. If you're offloading 40 of 80 layers from a 70B model, you need roughly 70GB of system RAM available, in addition to whatever the operating system and other applications need.&lt;/p&gt;
&lt;p&gt;On my Strix Halo system with 128GB unified memory (96GB allocated to VRAM, 32GB to system), this gets interesting. The "CPU" portion of memory and the "GPU" portion share the same physical DIMMs. Allocating layers to "CPU" really just means they're in a different memory region that the GPU can still access, but through a different (slower) path.&lt;/p&gt;
&lt;h4&gt;SSD Endurance Considerations&lt;/h4&gt;
&lt;p&gt;If you're streaming weights from disk rather than CPU RAM, consider your SSD's endurance. A 70B model with 80 layers means moving roughly 1.75GB per token generated (all layers traversed once). Generate 1000 tokens and you've read 1.75TB from the SSD.&lt;/p&gt;
&lt;p&gt;For occasional use, this is fine. For continuous operation (like a chatbot running 24/7), you might wear out a consumer SSD within months. Enterprise SSDs with higher TBW (Terabytes Written) ratings are worth considering for heavy use cases, or preferring CPU RAM offloading over disk offloading.&lt;/p&gt;
&lt;h4&gt;Memory Mapping and Page Tables&lt;/h4&gt;
&lt;p&gt;Under the hood, partial loading relies on the operating system's memory management. When a layer is "loaded" to the GPU, this typically involves:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Reading the layer from storage (if not already in RAM)&lt;/li&gt;
&lt;li&gt;Pinning the memory pages so they can't be swapped&lt;/li&gt;
&lt;li&gt;Mapping the pages into GPU-accessible memory space&lt;/li&gt;
&lt;li&gt;Synchronizing to ensure the GPU sees the updated data&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;On Linux, this uses &lt;code&gt;mmap()&lt;/code&gt; and &lt;code&gt;mlock()&lt;/code&gt; syscalls. The &lt;code&gt;vm.max_map_count&lt;/code&gt; sysctl may need to be increased for very large models:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Check current value&lt;/span&gt;
cat&lt;span class="w"&gt; &lt;/span&gt;/proc/sys/vm/max_map_count

&lt;span class="c1"&gt;# Increase if needed&lt;/span&gt;
sudo&lt;span class="w"&gt; &lt;/span&gt;sysctl&lt;span class="w"&gt; &lt;/span&gt;-w&lt;span class="w"&gt; &lt;/span&gt;vm.max_map_count&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;1048576&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;I hit this limit when testing 70B+ models and saw cryptic "cannot allocate memory" errors until increasing the map count.&lt;/p&gt;
&lt;h3&gt;When Partial Loading Makes Sense&lt;/h3&gt;
&lt;p&gt;Based on my testing, here's when partial loading is a good fit:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Good Use Cases:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Batch processing where latency isn't critical (overnight analysis, embedding generation)&lt;/li&gt;
&lt;li&gt;Interactive use with smaller models where the overhead is manageable&lt;/li&gt;
&lt;li&gt;Running larger models occasionally without investing in more VRAM&lt;/li&gt;
&lt;li&gt;Testing different model sizes before committing to hardware&lt;/li&gt;
&lt;li&gt;APU systems where CPU-GPU transfer costs are minimal&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Poor Use Cases:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Real-time applications (chatbots, live transcription)&lt;/li&gt;
&lt;li&gt;High-throughput production systems&lt;/li&gt;
&lt;li&gt;When quantization gives acceptable quality with lower overhead&lt;/li&gt;
&lt;li&gt;Systems with slow storage (spinning disks, older SSDs)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The break-even point depends heavily on your specific hardware. On my APU system with unified memory, offloading 50% of layers costs about 33% of throughput. On a discrete GPU with PCIe 3.0, the same configuration might cost 60-70%.&lt;/p&gt;
&lt;h3&gt;Future Directions&lt;/h3&gt;
&lt;p&gt;Several developments could make partial loading more practical:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;GPU Direct Storage (GDS):&lt;/strong&gt; NVIDIA's GDS and AMD's equivalent allow direct SSD-to-GPU transfers, bypassing the CPU and PCIe. Early implementations show 3-4x improvements in layer load times.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Better Prefetching Algorithms:&lt;/strong&gt; Current implementations use simple next-layer prefetching. More sophisticated approaches could predict multiple layers ahead, or prioritize layers that are accessed most frequently (relevant for some architectures with skip connections).&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Hardware Evolution:&lt;/strong&gt; Unified memory architectures like Apple Silicon and AMD APUs eliminate the CPU-GPU transfer bottleneck entirely. As these architectures gain more memory capacity, partial loading becomes increasingly attractive.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Compression:&lt;/strong&gt; Applying neural compression to stored weights (not quantization, but actual neural codecs) could reduce the bandwidth requirements by 2-4x without quality loss.&lt;/p&gt;
&lt;h3&gt;Building a Benchmark Framework&lt;/h3&gt;
&lt;p&gt;For those who want to measure partial loading on their own hardware, here's the framework I developed:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;dataclasses&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;dataclass&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;typing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;List&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Optional&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;time&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;

&lt;span class="nd"&gt;@dataclass&lt;/span&gt;
&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;BenchmarkResult&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;model_name&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;
    &lt;span class="n"&gt;total_layers&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;
    &lt;span class="n"&gt;gpu_layers&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;
    &lt;span class="n"&gt;cpu_layers&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;
    &lt;span class="n"&gt;loading_mode&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;  &lt;span class="c1"&gt;# 'partial' or 'full'&lt;/span&gt;
    &lt;span class="n"&gt;load_time_seconds&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt;
    &lt;span class="n"&gt;tokens_generated&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;
    &lt;span class="n"&gt;total_inference_time&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt;
    &lt;span class="n"&gt;tokens_per_second&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt;
    &lt;span class="n"&gt;per_layer_load_times&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Optional&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;List&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nb"&gt;float&lt;/span&gt;&lt;span class="p"&gt;]]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
    &lt;span class="n"&gt;peak_vram_gb&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;Optional&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nb"&gt;float&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;benchmark_ollm_inference&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;model_id&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;offload_layers&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;max_tokens&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;50&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;BenchmarkResult&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;ollm&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Inference&lt;/span&gt;

    &lt;span class="c1"&gt;# Measure loading time&lt;/span&gt;
    &lt;span class="n"&gt;load_start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;o&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Inference&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model_id&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"cuda:0"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;logging&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;False&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ini_model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;models_dir&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"./models/"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;force_download&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;False&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;total_layers&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;layers&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;offload_layers&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;offload_layers_to_cpu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;layers_num&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;offload_layers&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;load_time&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;load_start&lt;/span&gt;

    &lt;span class="c1"&gt;# Measure inference time&lt;/span&gt;
    &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;synchronize&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;infer_start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

    &lt;span class="n"&gt;output&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;prompt&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;max_tokens&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;max_tokens&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;synchronize&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;infer_time&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;infer_start&lt;/span&gt;

    &lt;span class="c1"&gt;# Count tokens&lt;/span&gt;
    &lt;span class="n"&gt;tokens&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;o&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tokenizer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;encode&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;BenchmarkResult&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="n"&gt;model_name&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;model_id&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;total_layers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;total_layers&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;gpu_layers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;total_layers&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;offload_layers&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;cpu_layers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;offload_layers&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;loading_mode&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'partial'&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;offload_layers&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="s1"&gt;'full'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;load_time_seconds&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;load_time&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;tokens_generated&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;tokens&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;total_inference_time&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;infer_time&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;tokens_per_second&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;tokens&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;infer_time&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;infer_time&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;peak_vram_gb&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_memory_allocated&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mf"&gt;1e9&lt;/span&gt;
    &lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This framework measures the key metrics: loading time, inference time, tokens per second, and VRAM usage. Run it with different &lt;code&gt;offload_layers&lt;/code&gt; values to map out the performance curve for your specific hardware.&lt;/p&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;Partial LLM loading isn't a silver bullet, but it's a valuable technique for expanding what's possible on memory-constrained hardware. On my 128GB APU system, I found something unexpected: partial loading with 12 of 16 layers on CPU actually &lt;em&gt;outperformed&lt;/em&gt; full GPU loading by 75% (3.36 tok/s vs 1.92 tok/s).&lt;/p&gt;
&lt;p&gt;The key takeaways:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Unified memory changes everything.&lt;/strong&gt; On APUs and Apple Silicon, the conventional wisdom that "GPU is always faster" doesn't hold. Reduced memory bandwidth contention can make partial loading preferable even when you have enough VRAM.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Prefetching is essential.&lt;/strong&gt; Naive layer loading is too slow. Libraries like oLLM that prefetch the next layer during current layer computation can reduce overhead by 50% or more.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Memory bandwidth matters more than CPU speed.&lt;/strong&gt; The bottleneck is getting bytes from storage/RAM to the GPU, not processing them once they're there.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Library maturity varies.&lt;/strong&gt; Expect compatibility issues with newer transformers versions. Pin your dependencies; oLLM requires transformers 4.x.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Quality is preserved.&lt;/strong&gt; Partial loading changes where weights live, not what they are. Outputs match full GPU inference exactly (assuming matching precision).&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Benchmark your specific hardware.&lt;/strong&gt; My results on a Strix Halo APU won't match discrete GPU performance. The only way to know what works best is to measure it.&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;For batch processing and experimentation, partial loading lets you access models that would otherwise require more expensive hardware. For unified memory systems specifically, partial loading might be the &lt;em&gt;optimal&lt;/em&gt; configuration, not just a fallback.&lt;/p&gt;
&lt;p&gt;The era of "if it doesn't fit in VRAM, you can't run it" is ending. With the right techniques, nearly any model becomes accessible, and on the right hardware, you might even get a performance bonus for your trouble.&lt;/p&gt;</description><category>amd</category><category>gpu memory</category><category>layer streaming</category><category>llm</category><category>machine learning</category><category>memory optimization</category><category>ollm</category><category>partial loading</category><category>pytorch</category><category>rocm</category><category>strix halo</category><category>transformers</category><category>vram</category><guid>https://tinycomputers.io/posts/partial-llm-loading-running-models-too-big-for-vram.html</guid><pubDate>Thu, 05 Feb 2026 16:00:00 GMT</pubDate></item><item><title>Running Qwen TTS on AMD Strix Halo: A Complete Guide to Local Text-to-Speech</title><link>https://tinycomputers.io/posts/qwen-tts-on-amd-strix-halo.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;p&gt;The rise of high-quality text-to-speech models has opened new possibilities for content creators, accessibility advocates, and developers alike. Qwen3-TTS, developed by Alibaba's Qwen team, represents a significant leap forward in neural TTS technology, offering natural-sounding speech synthesis with multiple speaker voices. In this guide, we'll walk through setting up Qwen3-TTS on AMD's Strix Halo platform (specifically the AI Max+ 395 with its integrated Radeon 8060S graphics) and demonstrate how we use it to generate audio narrations for blog posts right here on TinyComputers.&lt;/p&gt;
&lt;div class="audio-widget"&gt;
&lt;div class="audio-widget-header"&gt;
&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
&lt;span class="audio-widget-label"&gt;Listen to this article&lt;/span&gt;
&lt;/div&gt;
&lt;audio controls preload="metadata"&gt;
&lt;source src="https://tinycomputers.io/qwen-tts-on-amd-strix-halo_tts.mp3" type="audio/mpeg"&gt;
&lt;/source&gt;&lt;/audio&gt;
&lt;div class="audio-widget-footer"&gt;16 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;h3&gt;Why Qwen3-TTS?&lt;/h3&gt;
&lt;p&gt;The text-to-speech landscape has evolved dramatically over the past few years. While cloud-based services like Amazon Polly, Google Cloud TTS, and ElevenLabs offer impressive quality, they come with ongoing costs, privacy considerations, and internet dependency. Local TTS solutions have historically lagged behind in quality, often producing robotic or unnatural speech.&lt;/p&gt;
&lt;p&gt;Qwen3-TTS changes this equation. The model produces remarkably natural speech with proper intonation, pacing, and emphasis. It supports multiple pre-trained speaker voices (including options like Eric, Aiden, Dylan, Serena, and others) each with distinct characteristics suitable for different content types. For technical content like our blog posts, the Eric voice provides clear, professional narration that listeners find easy to follow.&lt;/p&gt;
&lt;p&gt;The model we're using, &lt;code&gt;Qwen/Qwen3-TTS-12Hz-1.7B-CustomVoice&lt;/code&gt;, weighs in at 1.7 billion parameters. While not small, this is manageable on modern hardware and runs efficiently on GPU. The 12Hz designation refers to the audio frame rate used during generation, balancing quality with computational requirements.&lt;/p&gt;
&lt;h3&gt;The Hardware: AMD AI Max+ 395&lt;/h3&gt;
&lt;p&gt;AMD's Strix Halo architecture represents their latest push into the high-performance APU market, combining powerful CPU cores with substantial integrated graphics. Our test system features:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;CPU&lt;/strong&gt;: AMD Ryzen AI Max+ 395 with 16 Zen 5 cores (32 threads)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU&lt;/strong&gt;: Integrated Radeon 8060S (RDNA 3.5 architecture)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory&lt;/strong&gt;: 128GB unified DDR5, configured with 96GB VRAM and 32GB system RAM&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compute Units&lt;/strong&gt;: 40 CUs dedicated to graphics/compute workloads&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Our test system is the Bosgame M5 AI Mini Desktop, one of the first mini PCs to ship with AMD's Strix Halo silicon. The &lt;a href="https://baud.rs/gmVPEI"&gt;GMKtec EVO-X2&lt;/a&gt; is an extremely similar system if you're looking to replicate this setup. The unified memory architecture is particularly relevant for machine learning workloads. Unlike discrete GPUs with their own VRAM, the Radeon 8060S shares system memory with the CPU. This means no PCIe bottleneck for data transfers, and with 96GB allocated as VRAM, even large models fit comfortably.&lt;/p&gt;
&lt;p&gt;For our TTS workload, the 8060S provides adequate performance. The 1.7B parameter model fits comfortably in memory, and inference runs entirely on GPU once loaded. We see 100% GPU utilization during speech synthesis, indicating the hardware is being fully leveraged.&lt;/p&gt;
&lt;h3&gt;Setting Up the Environment&lt;/h3&gt;
&lt;p&gt;The first challenge with AMD GPUs is getting PyTorch working correctly with ROCm, AMD's open-source GPU compute stack. The Strix Halo uses a newer GPU architecture (gfx1151) that requires ROCm 6.x and some environment variable overrides.&lt;/p&gt;
&lt;h4&gt;Step 1: Create a Python Virtual Environment&lt;/h4&gt;
&lt;p&gt;We'll use a dedicated virtual environment to isolate our TTS dependencies:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;mkdir&lt;span class="w"&gt; &lt;/span&gt;-p&lt;span class="w"&gt; &lt;/span&gt;~/qwen-tts
&lt;span class="nb"&gt;cd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;~/qwen-tts
python3&lt;span class="w"&gt; &lt;/span&gt;-m&lt;span class="w"&gt; &lt;/span&gt;venv&lt;span class="w"&gt; &lt;/span&gt;venv
&lt;span class="nb"&gt;source&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;venv/bin/activate
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Step 2: Install PyTorch with ROCm Support&lt;/h4&gt;
&lt;p&gt;The standard PyTorch installation won't work; we need the ROCm-enabled build. As of this writing, ROCm 6.4 is the latest stable release:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;torch&lt;span class="w"&gt; &lt;/span&gt;torchvision&lt;span class="w"&gt; &lt;/span&gt;torchaudio&lt;span class="w"&gt; &lt;/span&gt;--index-url&lt;span class="w"&gt; &lt;/span&gt;https://download.pytorch.org/whl/rocm6.4
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This downloads PyTorch builds compiled specifically for AMD GPUs. The installation is larger than the standard CUDA builds due to the different compute libraries involved.&lt;/p&gt;
&lt;h4&gt;Step 3: Install Qwen-TTS&lt;/h4&gt;
&lt;p&gt;With PyTorch in place, install the Qwen TTS package:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;qwen-tts&lt;span class="w"&gt; &lt;/span&gt;soundfile&lt;span class="w"&gt; &lt;/span&gt;numpy
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The &lt;code&gt;soundfile&lt;/code&gt; library handles WAV file I/O, while &lt;code&gt;numpy&lt;/code&gt; is needed for audio array manipulation.&lt;/p&gt;
&lt;h4&gt;Step 4: Install xformers for ROCm (Optional but Recommended)&lt;/h4&gt;
&lt;p&gt;The xformers library provides optimized attention implementations that can improve performance:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;xformers&lt;span class="w"&gt; &lt;/span&gt;--index-url&lt;span class="w"&gt; &lt;/span&gt;https://download.pytorch.org/whl/rocm6.4
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;While Qwen-TTS will work without xformers, having it available enables more efficient memory-attention patterns during inference.&lt;/p&gt;
&lt;h4&gt;Step 5: Configure Environment Variables&lt;/h4&gt;
&lt;p&gt;The Strix Halo's gfx1151 architecture isn't explicitly recognized by all ROCm components yet. We need to tell the system to treat it as a compatible architecture:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="nb"&gt;export&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;HSA_OVERRIDE_GFX_VERSION&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;11&lt;/span&gt;.0.0
&lt;span class="nb"&gt;export&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;GPU_MAX_ALLOC_PERCENT&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;100&lt;/span&gt;
&lt;span class="nb"&gt;export&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;GPU_MAX_HEAP_SIZE&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;100&lt;/span&gt;
&lt;span class="nb"&gt;export&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;TORCH_ROCM_AOTRITON_ENABLE_EXPERIMENTAL&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;1&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Let's break down what these do:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;HSA_OVERRIDE_GFX_VERSION=11.0.0&lt;/strong&gt;: Tells the HSA runtime to report the GPU as gfx1100, which has broader library support&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU_MAX_ALLOC_PERCENT=100&lt;/strong&gt;: Allows the GPU to use up to 100% of available memory for allocations&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU_MAX_HEAP_SIZE=100&lt;/strong&gt;: Similar memory allocation setting for heap operations&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;TORCH_ROCM_AOTRITON_ENABLE_EXPERIMENTAL=1&lt;/strong&gt;: Enables experimental efficient attention implementations for AMD GPUs&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Add these to your &lt;code&gt;.bashrc&lt;/code&gt; or create an activation script for convenience.&lt;/p&gt;
&lt;h4&gt;Step 6: Verify GPU Detection&lt;/h4&gt;
&lt;p&gt;Before proceeding, confirm PyTorch can see your GPU:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CUDA available: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Device count: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device_count&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Device name: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_name&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;You should see output like:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;CUDA available: True
Device count: 1
Device name: AMD Radeon 8060S
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Note that PyTorch uses "CUDA" terminology even for AMD GPUs when using ROCm; this is for API compatibility.&lt;/p&gt;
&lt;h3&gt;Basic TTS Usage&lt;/h3&gt;
&lt;p&gt;With the environment configured, let's test basic speech synthesis:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;qwen_tts&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Qwen3TTSModel&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;soundfile&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;sf&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;

&lt;span class="c1"&gt;# Load model on GPU with bfloat16 precision&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Qwen3TTSModel&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;from_pretrained&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="s1"&gt;'Qwen/Qwen3-TTS-12Hz-1.7B-CustomVoice'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;attn_implementation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'sdpa'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;device_map&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'cuda:0'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bfloat16&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Check available speakers&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Available speakers: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_supported_speakers&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Generate speech&lt;/span&gt;
&lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s2"&gt;"Hello, and welcome to TinyComputers. Today we're exploring text-to-speech on AMD hardware."&lt;/span&gt;
&lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sample_rate&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate_custom_voice&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'eric'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;language&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'english'&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Save to file&lt;/span&gt;
&lt;span class="n"&gt;sf&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;write&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'output.wav'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;sample_rate&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Saved audio at &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;sample_rate&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;Hz"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;A few important notes:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;We use &lt;code&gt;attn_implementation='sdpa'&lt;/code&gt; for scaled dot-product attention, which works on ROCm&lt;/li&gt;
&lt;li&gt;The &lt;code&gt;device_map='cuda:0'&lt;/code&gt; explicitly places the model on the GPU&lt;/li&gt;
&lt;li&gt;Using &lt;code&gt;dtype=torch.bfloat16&lt;/code&gt; reduces memory usage while maintaining quality&lt;/li&gt;
&lt;li&gt;The language parameter must be the full word &lt;code&gt;'english'&lt;/code&gt;, not the abbreviation &lt;code&gt;'en'&lt;/code&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Building a Blog-to-Speech Pipeline&lt;/h3&gt;
&lt;p&gt;For our use case (generating audio versions of blog posts) we need more than basic TTS. Blog posts contain markdown formatting, code blocks, images, and other elements that shouldn't be read aloud. We built a complete pipeline that handles these challenges.&lt;/p&gt;
&lt;h4&gt;The Blog Cleaner&lt;/h4&gt;
&lt;p&gt;Our cleaning process strips out non-spoken content while preserving the narrative flow:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;re&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;clean_markdown&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="c1"&gt;# Remove YAML frontmatter&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;startswith&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'---'&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;find&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'---'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;:]&lt;/span&gt;

    &lt;span class="c1"&gt;# Strip HTML tags (audio, video, images)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'&amp;lt;audio[^&amp;gt;]*&amp;gt;[\s\S]*?&amp;lt;/audio&amp;gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;flags&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;IGNORECASE&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'&amp;lt;video[^&amp;gt;]*&amp;gt;[\s\S]*?&amp;lt;/video&amp;gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;flags&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;IGNORECASE&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'&amp;lt;img[^&amp;gt;]*/?&amp;gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;flags&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;IGNORECASE&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'&amp;lt;[^&amp;gt;]+&amp;gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Remove markdown images and convert links to just text&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'!\[[^\]]*\]\([^)]+\)'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\[([^\]]+)\]\([^)]+\)'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Remove code blocks&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'```[\s\S]*?```'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'`[^`]+`'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Convert headers to sentences&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'^(#{1,6})\s+(.+)$'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\2.'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;flags&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;MULTILINE&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Remove emphasis markers&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\*\*([^*]+)\*\*'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\*([^*]+)\*'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Unit Conversion for Speech&lt;/h4&gt;
&lt;p&gt;Technical content often includes abbreviations that sound awkward when read literally. We convert common units to their spoken forms:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;convert_units_for_speech&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'(\d+)\s*GB\b'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1 gigabytes'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'(\d+)\s*MB\b'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1 megabytes'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'(\d+)\s*GHz\b'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1 gigahertz'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'(\d+)\s*MHz\b'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1 megahertz'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sub&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'(\d+)\s*KB\b'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'\1 kilobytes'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Chunking Long Content&lt;/h4&gt;
&lt;p&gt;TTS models work best with moderate-length inputs. Very long passages can cause quality degradation or memory issues. We split content into chunks at sentence boundaries:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;chunk_text&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;max_chars&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;500&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;chunks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="n"&gt;sentences&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;re&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;split&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;r&lt;/span&gt;&lt;span class="s1"&gt;'(?&amp;lt;=[.!?])\s+'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;current&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s2"&gt;""&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;sentence&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;sentences&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;current&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sentence&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;max_chars&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;current&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;sentence&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;" "&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;current&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="n"&gt;chunks&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;current&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;strip&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
            &lt;span class="n"&gt;current&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;sentence&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;" "&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;current&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;chunks&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;current&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;strip&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;chunks&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;The Complete Script&lt;/h4&gt;
&lt;p&gt;Putting it all together, here's our &lt;code&gt;blog_to_speech.py&lt;/code&gt; script:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="ch"&gt;#!/usr/bin/env python3&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;argparse&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;re&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pathlib&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Path&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;qwen_tts&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Qwen3TTSModel&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;soundfile&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;sf&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;numpy&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;np&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;clean_blog_post&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;source&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Path&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;source&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;read_text&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="c1"&gt;# Apply cleaning functions...&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;cleaned_text&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;synthesize_speech&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;output_file&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"eric"&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Qwen3TTSModel&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;from_pretrained&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="s1"&gt;'Qwen/Qwen3-TTS-12Hz-1.7B-CustomVoice'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;attn_implementation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'sdpa'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;device_map&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'cuda:0'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bfloat16&lt;/span&gt;
    &lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;chunks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;chunk_text&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;all_audio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;chunk&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;chunks&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Processing chunk &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;/&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;chunks&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sample_rate&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate_custom_voice&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;chunk&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;language&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'english'&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;all_audio&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

    &lt;span class="n"&gt;combined&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;all_audio&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;sf&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;write&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;output_file&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;combined&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sample_rate&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;duration&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;combined&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;sample_rate&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Saved &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;duration&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.1f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;s audio to: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;output_file&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="vm"&gt;__name__&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s1"&gt;'__main__'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;parser&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;argparse&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ArgumentParser&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;parser&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;add_argument&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'source'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;help&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'Blog post markdown file'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;parser&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;add_argument&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'-o'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'--output'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;default&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'output.wav'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;parser&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;add_argument&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'--speaker'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;default&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'eric'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;args&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;parser&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;parse_args&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;clean_blog_post&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;args&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;source&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;synthesize_speech&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;args&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;args&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;Choosing the Right Speaker Voice&lt;/h3&gt;
&lt;p&gt;Qwen3-TTS ships with nine pre-trained speaker voices, each with distinct characteristics:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Speaker&lt;/th&gt;
&lt;th&gt;Characteristics&lt;/th&gt;
&lt;th&gt;Best For&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Eric&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Clear, professional male voice with measured pacing&lt;/td&gt;
&lt;td&gt;Technical content, tutorials, documentation&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Aiden&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Younger male voice, slightly more casual&lt;/td&gt;
&lt;td&gt;Blog posts, conversational content&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Dylan&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Deeper male voice with authoritative tone&lt;/td&gt;
&lt;td&gt;Formal presentations, announcements&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Ryan&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Energetic male voice&lt;/td&gt;
&lt;td&gt;Marketing content, product demos&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Serena&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Clear female voice, professional&lt;/td&gt;
&lt;td&gt;Corporate content, tutorials&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Vivian&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Warm female voice&lt;/td&gt;
&lt;td&gt;Storytelling, narrative content&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Ono Anna&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Female voice with distinct character&lt;/td&gt;
&lt;td&gt;Creative content&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Sohee&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Female voice, versatile&lt;/td&gt;
&lt;td&gt;General purpose&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;strong&gt;Uncle Fu&lt;/strong&gt;&lt;/td&gt;
&lt;td&gt;Character voice&lt;/td&gt;
&lt;td&gt;Specialized applications&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;For our technical blog content, we primarily use Eric. His clear enunciation and measured pacing work well for complex technical explanations. The voice handles acronyms, numbers, and technical terminology naturally, making it ideal for content about hardware, programming, and system administration.&lt;/p&gt;
&lt;p&gt;You can easily switch voices by changing the &lt;code&gt;speaker&lt;/code&gt; parameter:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sample_rate&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate_custom_voice&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'serena'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;  &lt;span class="c1"&gt;# Try different voices&lt;/span&gt;
    &lt;span class="n"&gt;language&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'english'&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Consider matching voice characteristics to content type. A hardware review might work better with Eric's authoritative tone, while a personal essay might benefit from Aiden's more conversational style.&lt;/p&gt;
&lt;h3&gt;Comparing TTS Options&lt;/h3&gt;
&lt;p&gt;Before settling on Qwen3-TTS, we evaluated several alternatives. Here's how they compare for our use case:&lt;/p&gt;
&lt;h4&gt;Cloud Services&lt;/h4&gt;
&lt;p&gt;&lt;strong&gt;Amazon Polly&lt;/strong&gt; and &lt;strong&gt;Google Cloud TTS&lt;/strong&gt; offer excellent quality with minimal setup. However, costs accumulate quickly for long-form content. At roughly \$4-16 per million characters (depending on voice quality), a 3000-word blog post costs \$0.10-0.40 per generation. For a site with dozens of posts requiring periodic regeneration, this adds up.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;ElevenLabs&lt;/strong&gt; produces arguably the most natural voices available, with impressive emotional range. But their pricing model (based on character quotas) makes it expensive for regular content generation. The quality is exceptional, but overkill for straightforward narration.&lt;/p&gt;
&lt;h4&gt;Local Alternatives&lt;/h4&gt;
&lt;p&gt;&lt;strong&gt;Coqui TTS&lt;/strong&gt; (now deprecated) was a popular open-source option but development has stalled. &lt;strong&gt;Bark&lt;/strong&gt; from Suno produces impressive results but runs slowly and lacks fine-grained control. &lt;strong&gt;XTTS&lt;/strong&gt; offers voice cloning but requires more setup and compute resources.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Piper&lt;/strong&gt; deserves special mention as a lightweight option. It runs quickly even on CPU and produces acceptable quality for many applications. However, the voices sound noticeably synthetic compared to Qwen3-TTS, fine for notifications or short snippets, but fatiguing for 30-minute narrations.&lt;/p&gt;
&lt;p&gt;Qwen3-TTS hits a sweet spot: quality approaching cloud services, reasonable compute requirements, and fully local operation. The 1.7B parameter model is large enough for natural prosody but small enough to run on consumer hardware.&lt;/p&gt;
&lt;h3&gt;Batch Processing for Multiple Posts&lt;/h3&gt;
&lt;p&gt;When generating audio for multiple blog posts, efficiency matters. Loading the model takes 15-30 seconds, so we keep it loaded while processing multiple files:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="ch"&gt;#!/usr/bin/env python3&lt;/span&gt;
&lt;span class="sd"&gt;"""Batch TTS processing for multiple blog posts"""&lt;/span&gt;

&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;os&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pathlib&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Path&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;qwen_tts&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Qwen3TTSModel&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;soundfile&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;sf&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;numpy&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;np&lt;/span&gt;

&lt;span class="c1"&gt;# Load model once&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Loading model..."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Qwen3TTSModel&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;from_pretrained&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="s1"&gt;'Qwen/Qwen3-TTS-12Hz-1.7B-CustomVoice'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;attn_implementation&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'sdpa'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;device_map&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'cuda:0'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bfloat16&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;posts&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;
    &lt;span class="s1"&gt;'post1.md'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="s1"&gt;'post2.md'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="s1"&gt;'post3.md'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;post&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;posts&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'='&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Processing: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;post&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'='&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;clean_blog_post&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;post&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;output&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"/tmp/&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;Path&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;post&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;stem&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;_tts.wav"&lt;/span&gt;

    &lt;span class="c1"&gt;# Process chunks&lt;/span&gt;
    &lt;span class="n"&gt;chunks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;chunk_text&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;all_audio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;chunk&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;chunks&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"  Chunk &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;/&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;chunks&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sr&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;generate_custom_voice&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;chunk&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;speaker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'eric'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;language&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'english'&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;all_audio&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;audios&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

    &lt;span class="n"&gt;combined&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;all_audio&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;sf&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;write&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;combined&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;sr&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Saved: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This approach processes our five-post backlog overnight, with results ready for review in the morning.&lt;/p&gt;
&lt;h3&gt;Performance Characteristics&lt;/h3&gt;
&lt;p&gt;On the AI Max+ 395, speech synthesis runs at roughly real-time to 0.5x real-time speed, meaning a 30-minute audio file takes 30-60 minutes to generate. This is slower than high-end discrete GPUs but perfectly acceptable for batch processing.&lt;/p&gt;
&lt;p&gt;For reference, here's how different content lengths performed in our testing:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Content&lt;/th&gt;
&lt;th&gt;Characters&lt;/th&gt;
&lt;th&gt;Chunks&lt;/th&gt;
&lt;th&gt;Audio Duration&lt;/th&gt;
&lt;th&gt;Generation Time&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Short post&lt;/td&gt;
&lt;td&gt;5,000&lt;/td&gt;
&lt;td&gt;12&lt;/td&gt;
&lt;td&gt;~5 min&lt;/td&gt;
&lt;td&gt;~15 min&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Medium post&lt;/td&gt;
&lt;td&gt;15,000&lt;/td&gt;
&lt;td&gt;35&lt;/td&gt;
&lt;td&gt;~15 min&lt;/td&gt;
&lt;td&gt;~45 min&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Long post&lt;/td&gt;
&lt;td&gt;25,000&lt;/td&gt;
&lt;td&gt;55&lt;/td&gt;
&lt;td&gt;~27 min&lt;/td&gt;
&lt;td&gt;~90 min&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Very long&lt;/td&gt;
&lt;td&gt;40,000&lt;/td&gt;
&lt;td&gt;85&lt;/td&gt;
&lt;td&gt;~45 min&lt;/td&gt;
&lt;td&gt;~150 min&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The relationship between content length and generation time is roughly linear after the initial model warmup.&lt;/p&gt;
&lt;p&gt;Some observations from our testing:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;First chunk latency&lt;/strong&gt;: The first chunk takes longer due to GPU kernel compilation and caching&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory usage&lt;/strong&gt;: Peak usage around 8-10GB during inference&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU utilization&lt;/strong&gt;: Consistent 100% during active synthesis&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Quality&lt;/strong&gt;: Indistinguishable from cloud TTS services for most content&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The MIOpen library sometimes logs workspace warnings during execution. These don't affect output quality and can be safely ignored:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;MIOpen&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;HIP&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Warning&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;IsEnoughWorkspace&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Solver&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;GemmFwdRest&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;workspace&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nl"&gt;required&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;103133184&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;Integrating Audio into Blog Posts&lt;/h3&gt;
&lt;p&gt;Once we have the WAV file, we convert to MP3 for web delivery and embed an HTML5 audio player:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;ffmpeg&lt;span class="w"&gt; &lt;/span&gt;-i&lt;span class="w"&gt; &lt;/span&gt;blog_post.wav&lt;span class="w"&gt; &lt;/span&gt;-codec:a&lt;span class="w"&gt; &lt;/span&gt;libmp3lame&lt;span class="w"&gt; &lt;/span&gt;-qscale:a&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="m"&gt;2&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;blog_post.mp3
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;For reviewing TTS output quality, we recommend using &lt;a href="https://baud.rs/tn2v8w"&gt;studio monitor headphones&lt;/a&gt; that reveal any artifacts or unnatural tones in the generated speech.&lt;/p&gt;
&lt;p&gt;The player HTML is straightforward:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;div&lt;/span&gt; &lt;span class="na"&gt;style&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"background: #f8f9fa; border: 1px solid #e9ecef;&lt;/span&gt;
&lt;span class="s"&gt;            border-radius: 8px; padding: 16px 20px; margin: 20px 0;"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
  &lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;div&lt;/span&gt; &lt;span class="na"&gt;class&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"audio-widget-header"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
    &lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;span&lt;/span&gt; &lt;span class="na"&gt;class&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"audio-widget-icon"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;🎧&lt;span class="p"&gt;&amp;lt;/&lt;/span&gt;&lt;span class="nt"&gt;span&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
    &lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;span&lt;/span&gt; &lt;span class="na"&gt;style&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"color: #495057; font-weight: 600;"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;Listen to this article&lt;span class="p"&gt;&amp;lt;/&lt;/span&gt;&lt;span class="nt"&gt;span&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
  &lt;span class="p"&gt;&amp;lt;/&lt;/span&gt;&lt;span class="nt"&gt;div&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
  &lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;audio&lt;/span&gt; &lt;span class="na"&gt;controls&lt;/span&gt; &lt;span class="na"&gt;preload&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"metadata"&lt;/span&gt; &lt;span class="na"&gt;style&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"width: 100%;"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
    &lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;source&lt;/span&gt; &lt;span class="na"&gt;src&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"/audio/blog_post.mp3"&lt;/span&gt; &lt;span class="na"&gt;type&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"audio/mpeg"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
  &lt;span class="p"&gt;&amp;lt;/&lt;/span&gt;&lt;span class="nt"&gt;audio&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
  &lt;span class="p"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nt"&gt;div&lt;/span&gt; &lt;span class="na"&gt;class&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s"&gt;"audio-widget-footer"&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
    27 min · AI-generated narration
  &lt;span class="p"&gt;&amp;lt;/&lt;/span&gt;&lt;span class="nt"&gt;div&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
&lt;span class="p"&gt;&amp;lt;/&lt;/span&gt;&lt;span class="nt"&gt;div&lt;/span&gt;&lt;span class="p"&gt;&amp;gt;&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;Why We're Doing This&lt;/h3&gt;
&lt;p&gt;Adding audio narration to blog posts serves multiple purposes:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Accessibility&lt;/strong&gt;: Readers with visual impairments or reading difficulties can consume content aurally&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Convenience&lt;/strong&gt;: Listeners can enjoy posts during commutes, workouts, or other activities&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Engagement&lt;/strong&gt;: Audio content creates a more personal connection with the audience&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Reach&lt;/strong&gt;: Some audiences prefer audio format, expanding our potential readership&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Running TTS locally rather than using cloud services gives us:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Cost control&lt;/strong&gt;: No per-character or per-minute fees&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Privacy&lt;/strong&gt;: Content never leaves our infrastructure&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Consistency&lt;/strong&gt;: Same voice and quality across all posts&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Flexibility&lt;/strong&gt;: Full control over processing pipeline&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Troubleshooting Common Issues&lt;/h3&gt;
&lt;h4&gt;"CUDA not available" despite GPU present&lt;/h4&gt;
&lt;p&gt;Ensure you've installed the ROCm version of PyTorch, not the standard build:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;pip&lt;span class="w"&gt; &lt;/span&gt;uninstall&lt;span class="w"&gt; &lt;/span&gt;torch&lt;span class="w"&gt; &lt;/span&gt;torchvision&lt;span class="w"&gt; &lt;/span&gt;torchaudio
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;torch&lt;span class="w"&gt; &lt;/span&gt;torchvision&lt;span class="w"&gt; &lt;/span&gt;torchaudio&lt;span class="w"&gt; &lt;/span&gt;--index-url&lt;span class="w"&gt; &lt;/span&gt;https://download.pytorch.org/whl/rocm6.4
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Model runs on CPU instead of GPU&lt;/h4&gt;
&lt;p&gt;Check that &lt;code&gt;device_map='cuda:0'&lt;/code&gt; is specified when loading the model. Also verify the environment variables are set before starting Python.&lt;/p&gt;
&lt;h4&gt;"Unsupported language 'en'"&lt;/h4&gt;
&lt;p&gt;Use the full language name: &lt;code&gt;language='english'&lt;/code&gt; not &lt;code&gt;language='en'&lt;/code&gt;.&lt;/p&gt;
&lt;h4&gt;Out of memory errors&lt;/h4&gt;
&lt;p&gt;Try reducing chunk size or using a smaller batch. The model should fit in 16GB, but very long chunks can spike memory usage.&lt;/p&gt;
&lt;h4&gt;Slow first chunk&lt;/h4&gt;
&lt;p&gt;This is normal; ROCm compiles GPU kernels on first use. Subsequent chunks process faster.&lt;/p&gt;
&lt;h3&gt;Future Improvements&lt;/h3&gt;
&lt;p&gt;Our current pipeline works well but has room for enhancement. Some improvements we're considering:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Voice cloning&lt;/strong&gt;: Qwen3-TTS supports custom voice training. With sufficient audio samples, we could create a unique voice for TinyComputers rather than using the stock speakers. This would provide brand consistency and differentiation.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Automatic post detection&lt;/strong&gt;: Currently we manually select posts for TTS generation. A CI/CD integration could automatically generate audio for new posts when they're published, keeping the audio library current without manual intervention.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Chapter markers&lt;/strong&gt;: For longer posts, embedding chapter markers in the audio file would allow listeners to skip to specific sections. This requires parsing the markdown headers and mapping them to audio timestamps.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Multiple format export&lt;/strong&gt;: Beyond MP3, offering Opus or AAC formats could reduce file sizes while maintaining quality, benefiting listeners on metered connections.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Speed adjustment&lt;/strong&gt;: Some listeners prefer 1.25x or 1.5x playback speed. Pre-generating speed-adjusted versions could provide better quality than real-time speed adjustment in the browser.&lt;/p&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;Running Qwen3-TTS on AMD's Strix Halo platform demonstrates that high-quality local TTS is now accessible beyond NVIDIA hardware. While setup requires some ROCm-specific configuration, the results are impressive: natural-sounding narration suitable for professional content.&lt;/p&gt;
&lt;p&gt;The democratization of AI capabilities continues apace. What once required expensive cloud subscriptions or high-end NVIDIA GPUs now runs on integrated graphics. The AI Max+ 395's Radeon 8060S, primarily designed for gaming and general compute tasks, handles a 1.7-billion parameter language model without breaking a sweat.&lt;/p&gt;
&lt;p&gt;We're actively using this pipeline to generate audio versions of posts across TinyComputers, making our technical content more accessible and convenient for our readers. As of this writing, we've processed our retrocomputing series, hardware reviews, and technical tutorials, dozens of hours of content generated entirely on local hardware.&lt;/p&gt;
&lt;p&gt;The combination of AMD's capable integrated graphics and Qwen's excellent TTS model proves that you don't need expensive discrete GPUs or cloud subscriptions to achieve broadcast-quality speech synthesis. For content creators, educators, and accessibility advocates, this opens new possibilities for enriching written content with audio without ongoing service costs.&lt;/p&gt;
&lt;p&gt;If you're running AMD hardware and want to add audio narration to your own content, this guide should get you started. The initial setup investment pays dividends in ongoing cost savings and the satisfaction of running capable AI models entirely on your own infrastructure. And if you encounter issues along the way, the troubleshooting section above addresses the most common pitfalls we discovered during our own setup process.&lt;/p&gt;
&lt;p&gt;The audio player at the top of many TinyComputers posts now represents a small but meaningful step toward making technical content more accessible. Every post you can listen to while commuting, exercising, or doing dishes is content that might otherwise go unread. That's the real value of local TTS: not just cost savings, but expanded reach for the ideas we share.&lt;/p&gt;</description><category>ai max+ 395</category><category>amd</category><category>audio</category><category>machine learning</category><category>pytorch</category><category>qwen</category><category>rocm</category><category>strix halo</category><category>text-to-speech</category><category>tts</category><guid>https://tinycomputers.io/posts/qwen-tts-on-amd-strix-halo.html</guid><pubDate>Sat, 24 Jan 2026 18:00:00 GMT</pubDate></item><item><title>Rockchip RK3588 NPU Deep Dive: Real-World AI Performance Across Multiple Platforms</title><link>https://tinycomputers.io/posts/rockchip-rk3588-npu-benchmarks.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
&lt;div class="audio-widget-header"&gt;
&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
&lt;span class="audio-widget-label"&gt;Listen to this article&lt;/span&gt;
&lt;/div&gt;
&lt;audio controls preload="metadata"&gt;
&lt;source src="https://tinycomputers.io/rockchip-rk3588-npu-benchmarks_tts.mp3" type="audio/mpeg"&gt;
&lt;/source&gt;&lt;/audio&gt;
&lt;div class="audio-widget-footer"&gt;29 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;h3&gt;Introduction&lt;/h3&gt;
&lt;p&gt;The Rockchip RK3588 has emerged as one of the most compelling ARM System-on-Chips (SoCs) for edge AI applications in 2024-2025, featuring a dedicated 6 TOPS Neural Processing Unit (NPU) integrated alongside powerful Cortex-A76/A55 CPU cores. This SoC powers a growing ecosystem of single-board computers and system-on-modules from manufacturers worldwide, including Orange Pi, Radxa, FriendlyElec, Banana Pi, and numerous industrial board makers.&lt;/p&gt;
&lt;p&gt;But how does the RK3588's NPU perform in real-world scenarios? In this comprehensive deep dive, I'll share detailed benchmarks of the RK3588 NPU testing both Large Language Models (LLMs) and computer vision workloads, with primary testing on the &lt;a href="https://baud.rs/Gvp1v9"&gt;Orange Pi 5 Max&lt;/a&gt; and comparative analysis against the closely-related RK3576 found in the &lt;a href="https://baud.rs/mI7sak"&gt;Banana Pi CM5-Pro&lt;/a&gt;.&lt;/p&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/rk3588-npu-benchmark.png" alt="RK3588 NPU Performance Benchmarks" style="float: right; margin: 0 0 20px 20px; max-width: 300px; width: 100%;"&gt;&lt;/p&gt;
&lt;h3&gt;The RK3588 Ecosystem: Devices and Availability&lt;/h3&gt;
&lt;p&gt;The Rockchip RK3588 powers a diverse range of single-board computers (SBCs) and system-on-modules (SoMs) from multiple manufacturers in 2024-2025:&lt;/p&gt;
&lt;p&gt;Consumer SBCs:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Orange Pi 5 Max - Full-featured SBC with up to 16GB RAM, M.2 NVMe, WiFi 6&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/5ricI7"&gt;Radxa ROCK 5B/5B+&lt;/a&gt; - Available with up to 32GB RAM, PCIe 3.0, 8K video output&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/GlPCPo"&gt;FriendlyElec NanoPC-T6&lt;/a&gt; - Compact form factor with AV1 hardware acceleration&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/hLLHyJ"&gt;Firefly ROC-RK3588S-PC&lt;/a&gt; - Budget-friendly option starting at $219&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Industrial and Embedded Modules:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/ARwBqp"&gt;Geniatech DB3588V2&lt;/a&gt; - Industrial-grade development kit with wide temperature range (-40°C to 85°C)&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/VrmBTh"&gt;Forlinx OK3588-C&lt;/a&gt; - SoM + carrier board design for custom integration&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/gZyg6n"&gt;Vantron VT-SBC-3588&lt;/a&gt; - AIoT-focused platform for edge applications&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/Vafs2q"&gt;Boardcon Idea3588&lt;/a&gt; - Compute module with up to 16GB RAM and 256GB eMMC&lt;/li&gt;
&lt;li&gt;Theobroma Systems &lt;a href="https://baud.rs/gCQtLx"&gt;TIGER&lt;/a&gt;/&lt;a href="https://baud.rs/kq54QO"&gt;JAGUAR&lt;/a&gt; - High-reliability modules for robotics and industrial automation&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Recent Developments:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;RK3588S2 (2024-2025) - Updated variant with modernized memory controllers and platform I/O while maintaining the same 6 TOPS NPU performance&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The RK3576, found in devices like the &lt;a href="https://baud.rs/mGv6hM"&gt;Banana Pi CM5-Pro&lt;/a&gt;, shares the same 6 TOPS NPU architecture as the RK3588 but features different CPU cores (Cortex-A72/A53 vs. A76/A55), making it an interesting comparison point for NPU-focused workloads.&lt;/p&gt;
&lt;h3&gt;Hardware Overview&lt;/h3&gt;
&lt;h4&gt;RK3588 SoC Specifications&lt;/h4&gt;
&lt;p&gt;Built on an 8nm process, the Rockchip RK3588 integrates:&lt;/p&gt;
&lt;p&gt;CPU:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;4x ARM Cortex-A76 @ 2.4 GHz (high-performance cores)&lt;/li&gt;
&lt;li&gt;4x ARM Cortex-A55 @ 1.8 GHz (efficiency cores)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;NPU:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;6 TOPS total performance&lt;/li&gt;
&lt;li&gt;3-core architecture (2 TOPS per core)&lt;/li&gt;
&lt;li&gt;Shared memory architecture&lt;/li&gt;
&lt;li&gt;Optimized for INT8 operations&lt;/li&gt;
&lt;li&gt;Supports INT4/INT8/INT16/BF16/TF32 quantization formats&lt;/li&gt;
&lt;li&gt;Device path: &lt;code&gt;/sys/kernel/iommu_groups/0/devices/fdab0000.npu&lt;/code&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;GPU:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;ARM Mali-G610 MP4 (quad-core)&lt;/li&gt;
&lt;li&gt;8K@30fps H.265/VP9 decoding&lt;/li&gt;
&lt;li&gt;4K@60fps H.264/H.265 encoding&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Architecture: ARM64 (aarch64)&lt;/p&gt;
&lt;h4&gt;Test Platform: Orange Pi 5 Max&lt;/h4&gt;
&lt;p&gt;For these benchmarks, we used the Orange Pi 5 Max with:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;16GB LPDDR5 RAM&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/p0qwLW"&gt;1TB M.2 NVMe SSD&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;WiFi 6 (802.11ax)&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/So0E3c"&gt;Debian-based Linux distribution&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Software Stack:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;RKNPU Driver: v0.9.8&lt;/li&gt;
&lt;li&gt;RKLLM Runtime: v1.2.2 (for LLM inference)&lt;/li&gt;
&lt;li&gt;RKNN Runtime: v1.6.0 (for general AI models)&lt;/li&gt;
&lt;li&gt;RKNN-Toolkit-Lite2: v2.3.2&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Test Setup&lt;/h3&gt;
&lt;p&gt;I conducted two separate benchmark suites:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Large Language Model (LLM) Testing using RKLLM&lt;/li&gt;
&lt;li&gt;Computer Vision Model Testing using RKNN-Toolkit2&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Both tests used a two-system approach:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Conversion System: &lt;a href="https://baud.rs/VlRoQN"&gt;AMD RYZEN AI MAX+ 395&lt;/a&gt; (32 cores, x86_64) running Ubuntu 24.04.3 LTS&lt;/li&gt;
&lt;li&gt;Inference System: Orange Pi 5 Max (ARM64) with RK3588 NPU&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;This reflects the real-world workflow where model conversion happens on powerful workstations, and inference runs on edge devices.&lt;/p&gt;
&lt;h3&gt;Part 1: Large Language Model Performance&lt;/h3&gt;
&lt;h4&gt;Model: TinyLlama 1.1B Chat&lt;/h4&gt;
&lt;p&gt;Source: Hugging Face (&lt;a href="https://baud.rs/gM7BYT"&gt;TinyLlama-1.1B-Chat-v1.0&lt;/a&gt;)&lt;/p&gt;
&lt;p&gt;Parameters: 1.1 billion&lt;/p&gt;
&lt;p&gt;Original Size: ~2.1 GB (505 MB model.safetensors)&lt;/p&gt;
&lt;h4&gt;Conversion Performance (x86_64)&lt;/h4&gt;
&lt;p&gt;Converting the Hugging Face model to RKNN format on the AMD RYZEN AI MAX+ 395:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Phase&lt;/th&gt;
&lt;th&gt;Time&lt;/th&gt;
&lt;th&gt;Details&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Load&lt;/td&gt;
&lt;td&gt;0.36s&lt;/td&gt;
&lt;td&gt;Loading Hugging Face model&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Build&lt;/td&gt;
&lt;td&gt;22.72s&lt;/td&gt;
&lt;td&gt;W8A8 quantization + NPU optimization&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Export&lt;/td&gt;
&lt;td&gt;56.38s&lt;/td&gt;
&lt;td&gt;Export to .rkllm format&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Total&lt;/td&gt;
&lt;td&gt;79.46s&lt;/td&gt;
&lt;td&gt;~1.3 minutes&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Output Model:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;File: &lt;code&gt;tinyllama_W8A8_rk3588.rkllm&lt;/code&gt;&lt;/li&gt;
&lt;li&gt;Size: 1142.9 MB (1.14 GB)&lt;/li&gt;
&lt;li&gt;Compression: 54% of original size&lt;/li&gt;
&lt;li&gt;Quantization: W8A8 (8-bit weights, 8-bit activations)&lt;/li&gt;
&lt;/ul&gt;
&lt;blockquote&gt;
&lt;p&gt;Note: The RK3588 only supports W8A8 quantization for LLM inference, not W4A16.&lt;/p&gt;
&lt;/blockquote&gt;
&lt;h4&gt;NPU Inference Results&lt;/h4&gt;
&lt;p&gt;Hardware Detection:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;I&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rkllm&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rkllm&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;runtime&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rknpu&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;driver&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.9&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;platform&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;RK3588&lt;/span&gt;
&lt;span class="n"&gt;I&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rkllm&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rkllm&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;toolkit&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;max_context_limit&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;2048&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;npu_core_num&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;
&lt;span class="n"&gt;I&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rkllm&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Enabled&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;cpus&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;6&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;7&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;I&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rkllm&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Enabled&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;cpus&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Key Observations:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;✅ NPU successfully detected and initialized&lt;/li&gt;
&lt;li&gt;✅ All 3 NPU cores utilized&lt;/li&gt;
&lt;li&gt;✅ 4 CPU cores (Cortex-A76) enabled for coordination&lt;/li&gt;
&lt;li&gt;✅ Model loaded and text generation working&lt;/li&gt;
&lt;li&gt;✅ Coherent English text output&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Expected Performance (from Rockchip official benchmarks):&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;TinyLlama 1.1B W8A8 on RK3588: ~10-15 tokens/second&lt;/li&gt;
&lt;li&gt;First token latency: ~200-500ms&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Is This Fast Enough for Real-Time Conversation?&lt;/h4&gt;
&lt;p&gt;To put the 10-15 tokens/second performance in perspective, let's compare it to human reading speeds:&lt;/p&gt;
&lt;p&gt;Human Reading Rates:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Silent reading: 200-300 words/minute (3.3-5 words/second)&lt;/li&gt;
&lt;li&gt;Reading aloud: 150-160 words/minute (2.5-2.7 words/second)&lt;/li&gt;
&lt;li&gt;Speed reading: 400-700 words/minute (6.7-11.7 words/second)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Token-to-Word Conversion:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;LLM tokens ≈ 0.75 words on average (1.33 tokens per word)&lt;/li&gt;
&lt;li&gt;10-15 tokens/sec = ~7.5-11.25 words/second&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Performance Analysis:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;✅ 2-4x faster than reading aloud (2.5-2.7 words/sec)&lt;/li&gt;
&lt;li&gt;✅ 2-3x faster than comfortable silent reading (3.3-5 words/sec)&lt;/li&gt;
&lt;li&gt;✅ Comparable to speed reading (6.7-11.7 words/sec)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Verdict: The RK3588 NPU running TinyLlama 1.1B generates text significantly faster than most humans can comfortably read, making it well-suited for real-time conversational AI, chatbots, and interactive applications at the edge.&lt;/p&gt;
&lt;p&gt;This is particularly impressive for a $180 device consuming only 5-6W of power. Users won't be waiting for the AI to "catch up" - instead, the limiting factor is human reading speed, not the NPU's generation capability.&lt;/p&gt;
&lt;h4&gt;Output Quality Verification&lt;/h4&gt;
&lt;p&gt;To verify the model produces meaningful, coherent responses, I tested it with several prompts:&lt;/p&gt;
&lt;p&gt;Test 1: Factual Question&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Prompt: "What is the capital of France?"
Response: "The capital of France is Paris."
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;✅ Result: Correct and concise answer.&lt;/p&gt;
&lt;p&gt;Test 2: Simple Math&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Prompt: "What is 2 plus 2?"
Response: "2 + 2 = 4"
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;✅ Result: Correct mathematical calculation.&lt;/p&gt;
&lt;p&gt;Test 3: List Generation&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="nv"&gt;Prompt&lt;/span&gt;:&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"List 3 colors: red,"&lt;/span&gt;
&lt;span class="nv"&gt;Response&lt;/span&gt;:&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="err"&gt;"Here are three different color options for your text:&lt;/span&gt;
&lt;span class="err"&gt;1. Red&lt;/span&gt;
&lt;span class="err"&gt;2. Orange&lt;/span&gt;
&lt;span class="mi"&gt;3&lt;/span&gt;.&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;Yellow&lt;/span&gt;&lt;span class="err"&gt;"&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;✅ Result: Logical completion with proper formatting.&lt;/p&gt;
&lt;p&gt;Observations:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Responses are coherent and grammatically correct&lt;/li&gt;
&lt;li&gt;Factual accuracy is maintained after W8A8 quantization&lt;/li&gt;
&lt;li&gt;The model understands context and provides relevant answers&lt;/li&gt;
&lt;li&gt;Text generation is fluent and natural&lt;/li&gt;
&lt;li&gt;No obvious degradation from quantization&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Note: The interactive demo tends to continue generating after the initial response, sometimes repeating patterns. This appears to be a demo interface issue rather than a model quality problem - the initial responses to each prompt are consistently accurate and useful.&lt;/p&gt;
&lt;h4&gt;LLM Findings&lt;/h4&gt;
&lt;p&gt;Strengths:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Fast model conversion (~1.3 minutes for 1.1B model)&lt;/li&gt;
&lt;li&gt;Successful NPU detection and initialization&lt;/li&gt;
&lt;li&gt;Good compression ratio (54% size reduction)&lt;/li&gt;
&lt;li&gt;Verified high-quality output: Factually correct, grammatically sound responses&lt;/li&gt;
&lt;li&gt;Text generation faster than human reading speed (7.5-11.25 words/sec)&lt;/li&gt;
&lt;li&gt;All 3 NPU cores actively utilized&lt;/li&gt;
&lt;li&gt;No noticeable quality degradation from W8A8 quantization&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Limitations:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;RK3588 only supports W8A8 quantization (no W4A16 for better compression)&lt;/li&gt;
&lt;li&gt;1.14 GB model size may be limiting for memory-constrained deployments&lt;/li&gt;
&lt;li&gt;Max context length: 2048 tokens&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;RK3588 vs RK3576: NPU Performance Comparison&lt;/h4&gt;
&lt;p&gt;The RK3576, found in the Banana Pi CM5-Pro, shares the same 6 TOPS NPU architecture as the RK3588 but differs in CPU configuration (Cortex-A72/A53 vs. A76/A55). This provides an interesting comparison for understanding NPU-specific performance versus overall platform capabilities.&lt;/p&gt;
&lt;p&gt;LLM Performance (Official Rockchip Benchmarks):&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Model&lt;/th&gt;
&lt;th&gt;RK3588 (W8A8)&lt;/th&gt;
&lt;th&gt;RK3576 (W4A16)&lt;/th&gt;
&lt;th&gt;Notes&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Qwen2 0.5B&lt;/td&gt;
&lt;td&gt;~42.58 tokens/sec&lt;/td&gt;
&lt;td&gt;34.24 tokens/sec&lt;/td&gt;
&lt;td&gt;RK3588 ~1.24x faster&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;MiniCPM4 0.5B&lt;/td&gt;
&lt;td&gt;N/A&lt;/td&gt;
&lt;td&gt;35.8 tokens/sec&lt;/td&gt;
&lt;td&gt;-&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;TinyLlama 1.1B&lt;/td&gt;
&lt;td&gt;~10-15 tokens/sec&lt;/td&gt;
&lt;td&gt;21.32 tokens/sec&lt;/td&gt;
&lt;td&gt;RK3576 faster (different quant)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;InternLM2 1.8B&lt;/td&gt;
&lt;td&gt;N/A&lt;/td&gt;
&lt;td&gt;13.65 tokens/sec&lt;/td&gt;
&lt;td&gt;-&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Key Observations:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;RK3588 supports W8A8 quantization only for LLMs&lt;/li&gt;
&lt;li&gt;RK3576 supports W4A16 quantization (4-bit weights, 16-bit activations)&lt;/li&gt;
&lt;li&gt;W4A16 models are smaller (645MB vs 1.14GB for TinyLlama) but may run slower on some models&lt;/li&gt;
&lt;li&gt;The NPU architecture is fundamentally the same (6 TOPS, 3 cores), but software stack differences affect performance&lt;/li&gt;
&lt;li&gt;For 0.5B models, RK3588 shows ~20% better performance&lt;/li&gt;
&lt;li&gt;Larger models benefit from W4A16's memory efficiency on RK3576&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Computer Vision Performance:&lt;/p&gt;
&lt;p&gt;Both RK3588 and RK3576 share the same NPU architecture for computer vision workloads:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;MobileNet V1 on RK3576 (Banana Pi CM5-Pro): ~161.8ms per image (~6.2 FPS)&lt;/li&gt;
&lt;li&gt;ResNet18 on RK3588 (Orange Pi 5 Max): 4.09ms per image (244 FPS)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The dramatic performance difference here is primarily due to model complexity (ResNet18 is better optimized for NPU execution than older MobileNet V1) rather than NPU hardware differences.&lt;/p&gt;
&lt;p&gt;Practical Implications:&lt;/p&gt;
&lt;p&gt;For NPU-focused workloads, both the RK3588 and RK3576 deliver similar AI acceleration capabilities. The choice between platforms should be based on:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;CPU performance needs: RK3588's A76 cores are significantly faster&lt;/li&gt;
&lt;li&gt;Quantization requirements: RK3576 offers W4A16 for LLMs, RK3588 only W8A8&lt;/li&gt;
&lt;li&gt;Model size constraints: W4A16 (RK3576) produces smaller models&lt;/li&gt;
&lt;li&gt;Cost considerations: RK3576 platforms (like CM5-Pro at $103) vs RK3588 platforms ($150-180)&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Part 2: Computer Vision Model Performance&lt;/h3&gt;
&lt;h4&gt;Model: &lt;a href="https://baud.rs/cou3Lq"&gt;ResNet18&lt;/a&gt; (PyTorch Converted)&lt;/h4&gt;
&lt;p&gt;Source: PyTorch pretrained ResNet18&lt;/p&gt;
&lt;p&gt;Parameters: 11.7 million&lt;/p&gt;
&lt;p&gt;Original Size: 44.6 MB (ONNX format)&lt;/p&gt;
&lt;h4&gt;Can PyTorch Run on RK3588 NPU?&lt;/h4&gt;
&lt;p&gt;Short Answer: Yes, but through conversion.&lt;/p&gt;
&lt;p&gt;Workflow: PyTorch → ONNX → RKNN → NPU Runtime&lt;/p&gt;
&lt;p&gt;PyTorch/TensorFlow models cannot execute directly on the NPU. They must be converted through an AOT (Ahead-of-Time) compilation process. However, this conversion is fast and straightforward.&lt;/p&gt;
&lt;h4&gt;Conversion Performance (x86_64)&lt;/h4&gt;
&lt;p&gt;Converting PyTorch ResNet18 to RKNN format:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Phase&lt;/th&gt;
&lt;th&gt;Time&lt;/th&gt;
&lt;th&gt;Size&lt;/th&gt;
&lt;th&gt;Details&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;PyTorch → ONNX&lt;/td&gt;
&lt;td&gt;0.25s&lt;/td&gt;
&lt;td&gt;44.6 MB&lt;/td&gt;
&lt;td&gt;Fixed batch size, opset 11&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;ONNX → RKNN&lt;/td&gt;
&lt;td&gt;1.11s&lt;/td&gt;
&lt;td&gt;-&lt;/td&gt;
&lt;td&gt;INT8 quantization, operator fusion&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Export&lt;/td&gt;
&lt;td&gt;0.00s&lt;/td&gt;
&lt;td&gt;11.4 MB&lt;/td&gt;
&lt;td&gt;Final .rknn file&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Total&lt;/td&gt;
&lt;td&gt;1.37s&lt;/td&gt;
&lt;td&gt;11.4 MB&lt;/td&gt;
&lt;td&gt;25.7% of ONNX size&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;Model Optimizations:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;INT8 quantization (weights and activations)&lt;/li&gt;
&lt;li&gt;Automatic operator fusion&lt;/li&gt;
&lt;li&gt;Layout optimization for NPU&lt;/li&gt;
&lt;li&gt;Target: 3 NPU cores on RK3588&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Memory Usage:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Internal memory: 1.1 MB&lt;/li&gt;
&lt;li&gt;Weight memory: 11.5 MB&lt;/li&gt;
&lt;li&gt;Total model size: 11.4 MB&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;NPU Inference Performance&lt;/h4&gt;
&lt;p&gt;Running ResNet18 inference on Orange Pi 5 Max (10 iterations after 2 warmup runs):&lt;/p&gt;
&lt;p&gt;Results:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Average Inference Time: 4.09 ms&lt;/li&gt;
&lt;li&gt;Min Inference Time: 4.02 ms&lt;/li&gt;
&lt;li&gt;Max Inference Time: 4.43 ms&lt;/li&gt;
&lt;li&gt;Standard Deviation: ±0.11 ms&lt;/li&gt;
&lt;li&gt;Throughput: 244.36 FPS&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Initialization Overhead:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;NPU initialization: 0.350s (one-time)&lt;/li&gt;
&lt;li&gt;Model load: 0.008s (one-time)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Input/Output:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Input: 224×224×3 images (INT8)&lt;/li&gt;
&lt;li&gt;Output: 1000 classes (Float32)&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Performance Comparison&lt;/h4&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Platform&lt;/th&gt;
&lt;th&gt;Inference Time&lt;/th&gt;
&lt;th&gt;Throughput&lt;/th&gt;
&lt;th&gt;Notes&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;RK3588 NPU&lt;/td&gt;
&lt;td&gt;4.09 ms&lt;/td&gt;
&lt;td&gt;244 FPS&lt;/td&gt;
&lt;td&gt;3 NPU cores, INT8&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;ARM A76 CPU (est.)&lt;/td&gt;
&lt;td&gt;~50 ms&lt;/td&gt;
&lt;td&gt;~20 FPS&lt;/td&gt;
&lt;td&gt;Single core&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Desktop RTX 3080&lt;/td&gt;
&lt;td&gt;~2-3 ms&lt;/td&gt;
&lt;td&gt;~400 FPS&lt;/td&gt;
&lt;td&gt;Reference&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;NPU Speedup&lt;/td&gt;
&lt;td&gt;12x faster than CPU&lt;/td&gt;
&lt;td&gt;-&lt;/td&gt;
&lt;td&gt;Same hardware&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;h4&gt;Computer Vision Findings&lt;/h4&gt;
&lt;p&gt;Strengths:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Extremely fast conversion (&amp;lt;2 seconds)&lt;/li&gt;
&lt;li&gt;Excellent inference performance (4.09ms, 244 FPS)&lt;/li&gt;
&lt;li&gt;Very consistent latency (±0.11ms)&lt;/li&gt;
&lt;li&gt;Efficient quantization (74% size reduction)&lt;/li&gt;
&lt;li&gt;12x speedup vs CPU cores on same SoC&lt;/li&gt;
&lt;li&gt;Simple Python API for inference&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Trade-offs:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;INT8 quantization may reduce accuracy slightly&lt;/li&gt;
&lt;li&gt;AOT conversion required (no dynamic model execution)&lt;/li&gt;
&lt;li&gt;Fixed input shapes required&lt;/li&gt;
&lt;/ol&gt;
&lt;h3&gt;Technical Deep Dive&lt;/h3&gt;
&lt;h4&gt;NPU Architecture&lt;/h4&gt;
&lt;p&gt;The RK3588 NPU is based on a 3-core design with 6 TOPS total performance:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Each core contributes 2 TOPS&lt;/li&gt;
&lt;li&gt;Shared memory architecture&lt;/li&gt;
&lt;li&gt;Optimized for INT8 operations&lt;/li&gt;
&lt;li&gt;Direct DRAM access for large models&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Memory Layout&lt;/h4&gt;
&lt;p&gt;For ResNet18, the NPU memory allocation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Feature Tensor Memory:
- Input (224×224×3):     147 KB
- Layer activations:     776 KB (peak)
- Output (1000 classes): 4 KB

Constant Memory (Weights):
- Conv layers:    11.5 MB
- FC layers:      2.0 MB
- Total:          11.5 MB
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Operator Support&lt;/h4&gt;
&lt;p&gt;The RKNN runtime successfully handled all ResNet18 operators:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Convolution layers: ✅ Fused with ReLU activation&lt;/li&gt;
&lt;li&gt;Batch normalization: ✅ Folded into convolution&lt;/li&gt;
&lt;li&gt;MaxPooling: ✅ Native support&lt;/li&gt;
&lt;li&gt;Global average pooling: ✅ Converted to convolution&lt;/li&gt;
&lt;li&gt;Fully connected: ✅ Converted to 1×1 convolution&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;All 26 operators executed on NPU (no CPU fallback needed).&lt;/p&gt;
&lt;h3&gt;Power Efficiency&lt;/h3&gt;
&lt;p&gt;While I didn't measure power consumption directly, the RK3588 NPU is designed for edge deployment:&lt;/p&gt;
&lt;p&gt;Estimated Power Draw:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Idle: ~2-3W (entire SoC)&lt;/li&gt;
&lt;li&gt;NPU active: +2-3W&lt;/li&gt;
&lt;li&gt;Total under AI load: ~5-6W&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Performance per Watt:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;ResNet18 @ 244 FPS / ~5W = ~49 FPS per Watt&lt;/li&gt;
&lt;li&gt;Compare to desktop GPU: RTX 3080 @ 400 FPS / ~320W = ~1.25 FPS per Watt&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The RK3588 NPU delivers approximately 39x better performance per watt than a high-end desktop GPU for INT8 inference workloads.&lt;/p&gt;
&lt;h3&gt;Real-World Applications&lt;/h3&gt;
&lt;p&gt;Based on these benchmarks, the RK3588 NPU is well-suited for:&lt;/p&gt;
&lt;h4&gt;✅ Excellent Performance:&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Real-time object detection: 244 FPS for ResNet18-class models&lt;/li&gt;
&lt;li&gt;Image classification: Sub-5ms latency&lt;/li&gt;
&lt;li&gt;Face recognition: Multiple faces per frame at 30+ FPS&lt;/li&gt;
&lt;li&gt;Pose estimation: Real-time tracking&lt;/li&gt;
&lt;li&gt;Edge AI cameras: Low power, high throughput&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;✅ Good Performance:&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Small LLMs: 1B-class models at 10-15 tokens/second&lt;/li&gt;
&lt;li&gt;Chatbots: Acceptable latency for edge applications&lt;/li&gt;
&lt;li&gt;Text classification: Fast inference for short sequences&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;⚠️ Limited Performance:&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Large LLMs: 7B+ models may not fit in memory or run slowly&lt;/li&gt;
&lt;li&gt;High-resolution video: 4K processing may require frame decimation&lt;/li&gt;
&lt;li&gt;Transformer models: Attention mechanism less optimized than CNNs&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Developer Experience&lt;/h3&gt;
&lt;p&gt;Pros:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Clear documentation and examples&lt;/li&gt;
&lt;li&gt;Python API is straightforward&lt;/li&gt;
&lt;li&gt;Automatic NPU detection&lt;/li&gt;
&lt;li&gt;Fast conversion times&lt;/li&gt;
&lt;li&gt;Good error messages&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Cons:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Requires separate x86_64 system for conversion&lt;/li&gt;
&lt;li&gt;Some dependency conflicts (PyTorch versions)&lt;/li&gt;
&lt;li&gt;Limited dynamic shape support&lt;/li&gt;
&lt;li&gt;Debugging NPU issues can be challenging&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Getting Started&lt;/h4&gt;
&lt;p&gt;Here's a minimal example for running inference:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;rknnlite.api&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;RKNNLite&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;numpy&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;np&lt;/span&gt;

&lt;span class="c1"&gt;# Initialize&lt;/span&gt;
&lt;span class="n"&gt;rknn&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;RKNNLite&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Load model&lt;/span&gt;
&lt;span class="n"&gt;rknn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;load_rknn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'model.rknn'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;rknn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;init_runtime&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Run inference&lt;/span&gt;
&lt;span class="n"&gt;input_data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;randint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;256&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;224&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;224&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uint8&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;outputs&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rknn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;inference&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;input_data&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;span class="c1"&gt;# Cleanup&lt;/span&gt;
&lt;span class="n"&gt;rknn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;release&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;That's it! The NPU is automatically detected and utilized.&lt;/p&gt;
&lt;h3&gt;Cost Analysis&lt;/h3&gt;
&lt;p&gt;Orange Pi 5 Max: ~$150-180 (16GB RAM variant)&lt;/p&gt;
&lt;p&gt;Performance per Dollar:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;244 FPS / $180 = 1.36 FPS per dollar (ResNet18)&lt;/li&gt;
&lt;li&gt;10-15 tokens/s / $180 = 0.055-0.083 tokens/s per dollar (TinyLlama 1.1B)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Compare to:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/mYYW0g"&gt;Raspberry Pi 5&lt;/a&gt; (8GB): $80, ~5 FPS CPU → 0.063 FPS per dollar&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/piKyBN"&gt;NVIDIA Jetson Orin Nano&lt;/a&gt;: $499, ~400 FPS → 0.80 FPS per dollar&lt;/li&gt;
&lt;li&gt;Desktop &lt;a href="https://baud.rs/upoX6A"&gt;RTX 3080&lt;/a&gt;: $699+, ~400 FPS → 0.57 FPS per dollar&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The RK3588 NPU offers excellent value for edge AI applications, especially for INT8 workloads.&lt;/p&gt;
&lt;h3&gt;Comparison to Other Edge AI Platforms&lt;/h3&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Platform&lt;/th&gt;
&lt;th&gt;NPU/GPU&lt;/th&gt;
&lt;th&gt;TOPS&lt;/th&gt;
&lt;th&gt;Price&lt;/th&gt;
&lt;th&gt;ResNet18 FPS&lt;/th&gt;
&lt;th&gt;Notes&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Orange Pi 5 Max (RK3588)&lt;/td&gt;
&lt;td&gt;3-core NPU&lt;/td&gt;
&lt;td&gt;6&lt;/td&gt;
&lt;td&gt;$180&lt;/td&gt;
&lt;td&gt;244&lt;/td&gt;
&lt;td&gt;Best value&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Raspberry Pi 5&lt;/td&gt;
&lt;td&gt;CPU only&lt;/td&gt;
&lt;td&gt;-&lt;/td&gt;
&lt;td&gt;$80&lt;/td&gt;
&lt;td&gt;~5&lt;/td&gt;
&lt;td&gt;No accelerator&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/3AZ8Gc"&gt;Google Coral Dev Board&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;Edge TPU&lt;/td&gt;
&lt;td&gt;4&lt;/td&gt;
&lt;td&gt;$150&lt;/td&gt;
&lt;td&gt;~400&lt;/td&gt;
&lt;td&gt;INT8 only&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;NVIDIA Jetson Orin Nano&lt;/td&gt;
&lt;td&gt;GPU (1024 CUDA)&lt;/td&gt;
&lt;td&gt;40&lt;/td&gt;
&lt;td&gt;$499&lt;/td&gt;
&lt;td&gt;~400&lt;/td&gt;
&lt;td&gt;More flexible&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;&lt;a href="https://baud.rs/mdXj2l"&gt;Intel NUC with Neural Compute Stick 2&lt;/a&gt;&lt;/td&gt;
&lt;td&gt;VPU&lt;/td&gt;
&lt;td&gt;4&lt;/td&gt;
&lt;td&gt;$300+&lt;/td&gt;
&lt;td&gt;~150&lt;/td&gt;
&lt;td&gt;Requires USB&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The RK3588 stands out for offering strong NPU performance at a very competitive price point.&lt;/p&gt;
&lt;h3&gt;Limitations and Gotchas&lt;/h3&gt;
&lt;h4&gt;1. Conversion System Required&lt;/h4&gt;
&lt;p&gt;You cannot convert models directly on the Orange Pi. You need an x86_64 Linux system with RKNN-Toolkit2 for model conversion.&lt;/p&gt;
&lt;h4&gt;2. Quantization Constraints&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;LLMs: Only W8A8 supported (no W4A16)&lt;/li&gt;
&lt;li&gt;Computer vision: INT8 quantization required for best performance&lt;/li&gt;
&lt;li&gt;Floating-point models will run slower&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;3. Memory Limitations&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Large models (&amp;gt;2GB) may not fit&lt;/li&gt;
&lt;li&gt;Context length limited to 2048 tokens for LLMs&lt;/li&gt;
&lt;li&gt;Batch sizes are constrained by NPU memory&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;4. Framework Support&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;PyTorch/TensorFlow: Supported via conversion&lt;/li&gt;
&lt;li&gt;Direct framework execution: Not supported&lt;/li&gt;
&lt;li&gt;Some operators may fall back to CPU&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;5. Software Maturity&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;RKNN-Toolkit2 is actively developed but not as mature as CUDA&lt;/li&gt;
&lt;li&gt;Some edge cases and exotic operators may not be supported&lt;/li&gt;
&lt;li&gt;Version compatibility between toolkit and runtime must match&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Best Practices&lt;/h3&gt;
&lt;p&gt;Based on my testing, here are recommendations for optimal RK3588 NPU usage:&lt;/p&gt;
&lt;h4&gt;1. Model Selection&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Choose models designed for mobile/edge: MobileNet, EfficientNet, SqueezeNet&lt;/li&gt;
&lt;li&gt;Start small: Test with smaller models before scaling up&lt;/li&gt;
&lt;li&gt;Consider quantization-aware training: Better accuracy with INT8&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;2. Optimization&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Use fixed input shapes: Dynamic shapes have overhead&lt;/li&gt;
&lt;li&gt;Batch carefully: Batch size 1 often optimal for latency&lt;/li&gt;
&lt;li&gt;Leverage operator fusion: Design models with fusible ops (Conv+BN+ReLU)&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;3. Deployment&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Pre-load models: Model loading takes ~350ms&lt;/li&gt;
&lt;li&gt;Use separate threads: Don't block main application during inference&lt;/li&gt;
&lt;li&gt;Monitor memory: Large models can cause OOM errors&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;4. Development Workflow&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="mf"&gt;1.&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Train&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;on&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;workstation&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="mf"&gt;2.&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nb"&gt;Exp&lt;/span&gt;&lt;span class="ow"&gt;or&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;to&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;ON&lt;/span&gt;&lt;span class="n"&gt;NX&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;with&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;fixed&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;shapes&lt;/span&gt;
&lt;span class="mf"&gt;3.&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Convert&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;to&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;RKNN&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;on&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;x86_64&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;sys&lt;/span&gt;&lt;span class="n"&gt;tem&lt;/span&gt;
&lt;span class="mf"&gt;4.&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Test&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;on&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="ow"&gt;Or&lt;/span&gt;&lt;span class="n"&gt;ange&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Pi&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;5&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Max&lt;/span&gt;
&lt;span class="mf"&gt;5.&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Iterate&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;based&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kr"&gt;on&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;accuracy&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="n"&gt;performance&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;The RK3588 NPU on the Orange Pi 5 Max delivers impressive performance for edge AI applications. With 244 FPS for ResNet18 (4.09ms latency) and 10-15 tokens/second for 1.1B LLMs, it's well-positioned for real-time computer vision and small language model inference.&lt;/p&gt;
&lt;h4&gt;Key Takeaways:&lt;/h4&gt;
&lt;p&gt;✅ Excellent computer vision performance: 244 FPS for ResNet18, &amp;lt;5ms latency&lt;/p&gt;
&lt;p&gt;✅ Good LLM support: 1B-class models run at usable speeds&lt;/p&gt;
&lt;p&gt;✅ Outstanding value: $180 for 6 TOPS of NPU performance&lt;/p&gt;
&lt;p&gt;✅ Easy to use: Simple Python API, automatic NPU detection&lt;/p&gt;
&lt;p&gt;✅ Power efficient: ~5-6W under AI load, 39x better than desktop GPU&lt;/p&gt;
&lt;p&gt;✅ PyTorch compatible: Via conversion workflow&lt;/p&gt;
&lt;p&gt;⚠️ Conversion required: Cannot run PyTorch/TensorFlow directly&lt;/p&gt;
&lt;p&gt;⚠️ Quantization needed: INT8 for best performance&lt;/p&gt;
&lt;p&gt;⚠️ Memory constrained: Large models (&amp;gt;2GB) challenging&lt;/p&gt;
&lt;p&gt;The RK3588 NPU is an excellent choice for edge AI applications where power efficiency and cost matter. It's not going to replace high-end GPUs for training or large-scale inference, but for deploying computer vision models and small LLMs at the edge, it's one of the best options available today.&lt;/p&gt;
&lt;p&gt;Recommended for:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Edge AI cameras and surveillance&lt;/li&gt;
&lt;li&gt;Robotics and autonomous systems&lt;/li&gt;
&lt;li&gt;IoT devices with AI requirements&lt;/li&gt;
&lt;li&gt;Embedded AI applications&lt;/li&gt;
&lt;li&gt;Prototyping and development&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Not recommended for:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Large language model training&lt;/li&gt;
&lt;li&gt;7B+ LLM inference&lt;/li&gt;
&lt;li&gt;High-precision (FP32) inference&lt;/li&gt;
&lt;li&gt;Dynamic model execution&lt;/li&gt;
&lt;li&gt;Cloud-scale deployments&lt;/li&gt;
&lt;/ul&gt;</description><category>ai benchmarks</category><category>computer vision</category><category>edge ai</category><category>llm inference</category><category>machine learning</category><category>nanopc t6</category><category>neural processing unit</category><category>npu</category><category>orange pi 5 max</category><category>performance testing</category><category>pytorch</category><category>radxa</category><category>resnet18</category><category>rk3588</category><category>rk3588s</category><category>rkllm</category><category>rknn</category><category>rock 5b</category><category>rockchip</category><category>single board computers</category><category>tinyllama</category><guid>https://tinycomputers.io/posts/rockchip-rk3588-npu-benchmarks.html</guid><pubDate>Fri, 07 Nov 2025 16:02:55 GMT</pubDate></item><item><title>Getting YOLOv8 Training Working on AMD Ryzen™ AI Max+ 395</title><link>https://tinycomputers.io/posts/getting-yolov8-training-working-on-amd-ryzentm-al-max%2B-395.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
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&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
&lt;span class="audio-widget-label"&gt;Listen to this article&lt;/span&gt;
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&lt;div class="audio-widget-footer"&gt;20 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;h3&gt;Introduction&lt;/h3&gt;
&lt;p&gt;Machine learning on AMD GPUs has always been... interesting. With NVIDIA's CUDA dominating the landscape, AMD's ROCm platform remains the underdog: powerful, but often requiring patience and persistence to get working properly. This is the story of how I got YOLOv8 object detection training working on an AMD Radeon 8060S integrated GPU (gfx1151) in the AMD RYZEN AI MAX+ 395 after encountering batch normalization failures, version mismatches, and a critical bug in MIOpen.&lt;/p&gt;
&lt;p&gt;The goal was simple: train a bullet hole detection model for a ballistics application using YOLOv8. The journey? Anything but simple.&lt;/p&gt;
&lt;h3&gt;The Hardware&lt;/h3&gt;
&lt;p&gt;System Specifications:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;CPU: AMD RYZEN AI MAX+ 395&lt;/li&gt;
&lt;li&gt;GPU: AMD Radeon 8060S (integrated, RDNA 3.5 architecture, gfx1151)&lt;/li&gt;
&lt;li&gt;VRAM: 96GB shared system memory&lt;/li&gt;
&lt;li&gt;ROCm Version: 7.0.2&lt;/li&gt;
&lt;li&gt;ROCk module: 6.14.14&lt;/li&gt;
&lt;li&gt;PyTorch: 2.8.0+rocm7.0.0.git64359f59&lt;/li&gt;
&lt;li&gt;MIOpen: Initially 3.0.5.1 (version code 3005001), later custom build&lt;/li&gt;
&lt;li&gt;OS: Linux (conda environment: pt2.8-rocm7)&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The AMD Radeon 8060S is an integrated GPU in the AMD RYZEN AI MAX+ 395 based on AMD's RDNA 3.5 architecture (gfx1151). What makes this system particularly interesting for machine learning is the massive 96GB of shared system memory available to the GPU, far more VRAM than typical consumer discrete GPUs. While machine learning support on RDNA 3.5 is still maturing compared to older RDNA 2 architectures, the memory capacity makes it compelling for AI workloads.&lt;/p&gt;
&lt;p&gt;But, for about $1,699, you can get up to 96GB of VRAM in a &lt;a href="https://baud.rs/r4rMKO"&gt;whisper-quiet form factor&lt;/a&gt;. This setup beats the pants off of my &lt;a href="https://tinycomputers.io/posts/eights-years-on-the-NVIDIA-tesla-p100-still-delivers-for-budget-artificial-intelligence-work.html"&gt;old GPU rig&lt;/a&gt;.&lt;/p&gt;
&lt;h3&gt;Why YOLOv8 and Ultralytics?&lt;/h3&gt;
&lt;p&gt;Before diving into the technical challenges, it's worth explaining why we chose YOLOv8 from &lt;a href="https://baud.rs/jf4gLA"&gt;Ultralytics&lt;/a&gt; for this project.&lt;/p&gt;
&lt;p&gt;YOLOv8 (You Only Look Once, version 8) is the latest iteration of one of the most popular object detection architectures. Developed and maintained by Ultralytics, it offers several advantages:&lt;/p&gt;
&lt;h4&gt;Why Ultralytics YOLOv8?&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;State-of-the-art Accuracy: YOLOv8 achieves excellent detection accuracy while maintaining real-time inference speeds, critical for practical applications.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Ease of Use: Ultralytics provides a clean, well-documented Python API that makes training custom models remarkably straightforward:&lt;/p&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;ultralytics&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"yolov8n.pt"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;results&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;train&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"dataset.yaml"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;Active Development: Ultralytics is actively maintained with frequent updates, bug fixes, and community support. This proved invaluable during debugging.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Model Variants: YOLOv8 comes in multiple sizes (nano, small, medium, large, extra-large), allowing us to balance accuracy vs. speed for our specific use case.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Built-in Data Augmentation: The framework includes extensive data augmentation capabilities out of the box, essential for training robust detection models with limited training data.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;PyTorch Native: Being built on PyTorch meant it should theoretically work with ROCm (AMD's CUDA equivalent)... in theory.&lt;/p&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;For our bullet hole detection application, YOLOv8's ability to accurately detect small objects (bullet holes in paper targets) while training efficiently made it the obvious choice. Little did I know that "training efficiently" would require a week-long debugging odyssey.&lt;/p&gt;
&lt;h3&gt;The Initial Setup (ROCm 7.0.0)&lt;/h3&gt;
&lt;p&gt;I started with ROCm 7.0.0, following AMD's official installation guide. Everything installed cleanly:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;$&lt;span class="w"&gt; &lt;/span&gt;python&lt;span class="w"&gt; &lt;/span&gt;-c&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"import torch; print(torch.cuda.is_available())"&lt;/span&gt;
True

$&lt;span class="w"&gt; &lt;/span&gt;python&lt;span class="w"&gt; &lt;/span&gt;-c&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"import torch; print(torch.cuda.get_device_name(0))"&lt;/span&gt;
AMD&lt;span class="w"&gt; &lt;/span&gt;Radeon&lt;span class="w"&gt; &lt;/span&gt;Graphics
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Perfect! PyTorch recognized the GPU. Time to train some models, right?&lt;/p&gt;
&lt;h3&gt;The First Failure: Batch Normalization&lt;/h3&gt;
&lt;p&gt;I loaded a simple YOLOv8 nano model and kicked off training:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;ultralytics&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;

&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"yolov8n.pt"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;results&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;train&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"data/bullet_hole_dataset_combined/data.yaml"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;imgsz&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;416&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"cuda:0"&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Within seconds, the training crashed:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;RuntimeError&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;miopenStatusUnknownError&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The error was cryptic, but digging deeper revealed the real issue: MIOpen was failing to compile batch normalization kernels with inline assembly errors:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&amp;lt;inline asm&amp;gt;:14:20: error: not a valid operand.
v_add_f32 v4 v4 v4 row_bcast:15 row_mask:0xa
                   ^
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Batch normalization. The most common operation in modern deep learning, and it was failing spectacularly on gfx1151. The inline assembly instructions (&lt;code&gt;row_bcast&lt;/code&gt; and &lt;code&gt;row_mask&lt;/code&gt;) appeared incompatible with the RDNA 3.5 architecture.&lt;/p&gt;
&lt;h4&gt;What is Batch Normalization?&lt;/h4&gt;
&lt;p&gt;Batch normalization (BatchNorm) is a technique that normalizes layer inputs across a mini-batch, helping neural networks train faster and more stably. It's used in virtually every modern CNN architecture, including YOLO.&lt;/p&gt;
&lt;p&gt;The error message pointed to &lt;code&gt;MIOpen&lt;/code&gt;, AMD's equivalent of NVIDIA's cuDNN, a library of optimized deep learning primitives.&lt;/p&gt;
&lt;h3&gt;Attempt 1: Upgrade to ROCm 7.0.2&lt;/h3&gt;
&lt;p&gt;My first instinct was to upgrade ROCm. Version 7.0.0 was relatively new, and perhaps 7.0.2 had fixed the batch normalization issues.&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Upgraded PyTorch to ROCm 7.0.2&lt;/span&gt;
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;--upgrade&lt;span class="w"&gt; &lt;/span&gt;torch&lt;span class="w"&gt; &lt;/span&gt;--index-url&lt;span class="w"&gt; &lt;/span&gt;https://download.pytorch.org/whl/rocm7.0
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Result? Same error. Batch normalization still failed.&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;RuntimeError&lt;/span&gt;&lt;span class="o"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;miopenStatusUnknownError&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;With the same inline assembly compilation errors about invalid &lt;code&gt;row_bcast&lt;/code&gt; and &lt;code&gt;row_mask&lt;/code&gt; operands. At this point, I realized this wasn't a simple version mismatch; there was something fundamentally broken with MIOpen's batch normalization implementation for the gfx1151 architecture.&lt;/p&gt;
&lt;h3&gt;The Revelation: It's MIOpen, Not ROCm&lt;/h3&gt;
&lt;p&gt;After hours of testing different PyTorch versions, driver configurations, and kernel parameters, I turned to the ROCm community for help.&lt;/p&gt;
&lt;p&gt;I posted my issue on &lt;a href="https://baud.rs/N50zpY"&gt;Reddit's r/ROCm subreddit&lt;/a&gt;, describing the inline assembly compilation failures and &lt;code&gt;miopenStatusUnknownError&lt;/code&gt; on gfx1151. Within a few hours, a knowledgeable Redditor responded with a crucial piece of information:&lt;/p&gt;
&lt;blockquote&gt;
&lt;p&gt;"There's a known issue with MIOpen 3.0.x and gfx1151 batch normalization. The inline assembly instructions use operands that aren't compatible with RDNA 3. A fix was recently merged into the develop branch. Try using a nightly build of MIOpen or build from source."&lt;/p&gt;
&lt;/blockquote&gt;
&lt;p&gt;This was the breakthrough I needed. The issue wasn't with ROCm itself or PyTorch; it was specifically MIOpen version 3.0.5.1 that shipped with ROCm 7.0.x. The maintainers had already fixed the gfx1151 batch normalization bug in a recent pull request, but it hadn't made it into a stable release yet.&lt;/p&gt;
&lt;p&gt;The Reddit user suggested two options:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Use a nightly Docker container with the latest MIOpen build&lt;/li&gt;
&lt;li&gt;Build MIOpen 3.5.1 from source using the develop branch&lt;/li&gt;
&lt;/ol&gt;
&lt;h3&gt;Testing the Theory: Docker Nightly Builds&lt;/h3&gt;
&lt;p&gt;Before committing to building from source, I wanted to verify that a newer MIOpen would actually fix the problem. AMD provides nightly Docker images with bleeding-edge ROCm builds:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;docker&lt;span class="w"&gt; &lt;/span&gt;pull&lt;span class="w"&gt; &lt;/span&gt;rocm/pytorch-nightly:latest

docker&lt;span class="w"&gt; &lt;/span&gt;run&lt;span class="w"&gt; &lt;/span&gt;--rm&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;--device&lt;span class="o"&gt;=&lt;/span&gt;/dev/kfd&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;--device&lt;span class="o"&gt;=&lt;/span&gt;/dev/dri&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;--group-add&lt;span class="w"&gt; &lt;/span&gt;video&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-v&lt;span class="w"&gt; &lt;/span&gt;~/ballistics_training:/workspace&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-w&lt;span class="w"&gt; &lt;/span&gt;/workspace&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;rocm/pytorch-nightly:latest&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;bash&lt;span class="w"&gt; &lt;/span&gt;-c&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;'pip install ultralytics &amp;amp;&amp;amp; python3 test_yolo.py'&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The nightly container included MIOpen 3.5.1 from the develop branch.&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# test_yolo.py&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;ultralytics&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;

&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__version__&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CUDA available: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_name&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"yolov8n.pt"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;results&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;train&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"data_docker.yaml"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;imgsz&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;416&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"cuda:0"&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Result:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;✅ SUCCESS! Nightly build FIXES gfx1151 batch normalization!
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;It worked! The &lt;code&gt;miopenStatusUnknownError&lt;/code&gt; was gone, no more inline assembly compilation failures. Training completed successfully with MIOpen 3.5.1 from the develop branch. The newer version had updated the batch normalization kernels to use instructions compatible with RDNA 3.5's gfx1151 architecture.&lt;/p&gt;
&lt;p&gt;This confirmed the Reddit user's tip: the fix was indeed in the newer MIOpen code that hadn't been released in a stable version yet.&lt;/p&gt;
&lt;h3&gt;The Solution: Building MIOpen from Source&lt;/h3&gt;
&lt;p&gt;Docker was great for testing, but I needed a permanent solution for my native conda environment. That meant building MIOpen 3.5.1 from source.&lt;/p&gt;
&lt;h4&gt;Step 1: Clone the Repository&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="nb"&gt;cd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;~/ballistics_training
git&lt;span class="w"&gt; &lt;/span&gt;clone&lt;span class="w"&gt; &lt;/span&gt;https://github.com/ROCm/MIOpen.git&lt;span class="w"&gt; &lt;/span&gt;rocm-libraries/projects/miopen
&lt;span class="nb"&gt;cd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;rocm-libraries/projects/miopen
git&lt;span class="w"&gt; &lt;/span&gt;checkout&lt;span class="w"&gt; &lt;/span&gt;develop&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="c1"&gt;# Latest development branch with gfx1151 fixes&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Step 2: Build MIOpen&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;mkdir&lt;span class="w"&gt; &lt;/span&gt;build&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nb"&gt;cd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;build

cmake&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-DCMAKE_PREFIX_PATH&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"/opt/rocm"&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-DCMAKE_INSTALL_PREFIX&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="nv"&gt;$HOME&lt;/span&gt;&lt;span class="s2"&gt;/ballistics_training/rocm-libraries/projects/miopen/build"&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-DMIOPEN_BACKEND&lt;span class="o"&gt;=&lt;/span&gt;HIP&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;-DCMAKE_BUILD_TYPE&lt;span class="o"&gt;=&lt;/span&gt;Release&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;..

make&lt;span class="w"&gt; &lt;/span&gt;-j&lt;span class="k"&gt;$(&lt;/span&gt;nproc&lt;span class="k"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;98&lt;/span&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;Building&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;CXX&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;object&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;src&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="nx"&gt;CMakeFiles&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="nx"&gt;MIOpen&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;dir&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="nx"&gt;softmax_api&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;cpp&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;o&lt;/span&gt;
&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;99&lt;/span&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;Linking&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;CXX&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;shared&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;library&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;libMIOpen&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;so&lt;/span&gt;
&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;Built&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;target&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nx"&gt;MIOpen&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Success! MIOpen 3.5.1 was built from source.&lt;/p&gt;
&lt;h4&gt;Step 3: Install Custom MIOpen to Conda Environment&lt;/h4&gt;
&lt;p&gt;Now came the tricky part: replacing the system MIOpen (version 3.0.5.1) with my custom-built version 3.5.1.&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="nv"&gt;CONDA_LIB&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;~/anaconda3/envs/pt2.8-rocm7/lib

&lt;span class="c1"&gt;# Backup the original MIOpen&lt;/span&gt;
cp&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;$CONDA_LIB&lt;/span&gt;/libMIOpen.so.1.0&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;$CONDA_LIB&lt;/span&gt;/libMIOpen.so.1.0.backup_system

&lt;span class="c1"&gt;# Install custom MIOpen&lt;/span&gt;
cp&lt;span class="w"&gt; &lt;/span&gt;~/ballistics_training/rocm-libraries/projects/miopen/build/lib/libMIOpen.so.1.0&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;$CONDA_LIB&lt;/span&gt;/

&lt;span class="c1"&gt;# Update symlinks&lt;/span&gt;
&lt;span class="nb"&gt;cd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;$CONDA_LIB&lt;/span&gt;
ln&lt;span class="w"&gt; &lt;/span&gt;-sf&lt;span class="w"&gt; &lt;/span&gt;libMIOpen.so.1.0&lt;span class="w"&gt; &lt;/span&gt;libMIOpen.so.1
ln&lt;span class="w"&gt; &lt;/span&gt;-sf&lt;span class="w"&gt; &lt;/span&gt;libMIOpen.so.1&lt;span class="w"&gt; &lt;/span&gt;libMIOpen.so
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Step 4: Verify the Installation&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;conda&lt;span class="w"&gt; &lt;/span&gt;activate&lt;span class="w"&gt; &lt;/span&gt;pt2.8-rocm7
python&lt;span class="w"&gt; &lt;/span&gt;-c&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"import torch; print(f'MIOpen version: {torch.backends.cudnn.version()}')"&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Output:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;MIOpen version: 3005001
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Wait, &lt;code&gt;3005001&lt;/code&gt;? That's version 3.5.1! (MIOpen uses an integer versioning scheme: major&lt;em&gt;1000000 + minor&lt;/em&gt;1000 + patch)&lt;/p&gt;
&lt;p&gt;The custom MIOpen was successfully loaded.&lt;/p&gt;
&lt;h3&gt;The Final Test: YOLOv8 Training&lt;/h3&gt;
&lt;p&gt;Time for the moment of truth. Could I finally train YOLOv8 on my AMD GPU?&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;ultralytics&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;

&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"="&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Testing YOLOv8 Training with Custom MIOpen 3.5.1"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"="&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__version__&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CUDA available: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"MIOpen version: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;backends&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cudnn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;YOLO&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"yolov8n.pt"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Starting training..."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;results&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;train&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"data/bullet_hole_dataset_combined/data.yaml"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;imgsz&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;416&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;16&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"cuda:0"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"bullet_hole_detector"&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Output:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;============================================================
Testing YOLOv8 Training with Custom MIOpen 3.5.1
============================================================
PyTorch: 2.8.0+rocm7.0.0.git64359f59
CUDA available: True
MIOpen version: 3005001

Starting training...

Ultralytics 8.3.217 🚀 Python-3.12.11 torch-2.8.0+rocm7.0.0 CUDA:0 (AMD Radeon Graphics, 98304MiB)

Model summary: 129 layers, 3,011,043 parameters, 3,011,027 gradients, 8.2 GFLOPs

Transferred 319/355 items from pretrained weights
AMP: running Automatic Mixed Precision (AMP) checks...
AMP: checks passed ✅

Starting training for 1 epochs...

      Epoch    GPU_mem   box_loss   cls_loss   dfl_loss  Instances       Size
        1/1     0.172G      3.022      3.775      1.215         29        416
        1/1     0.174G      2.961      4.034      1.147         46        416
        1/1     0.203G      3.133       4.08      1.251         36        416
        1/1     0.205G       3.14      4.266       1.25         60        416
        1/1     0.205G      3.028      4.194      1.237         18        416
        1/1     0.205G      2.995      4.114      1.235         28        416
        1/1     0.205G      3.029      4.118      1.226         41        416
        1/1     0.205G      2.961      4.031      1.209         26        416
        1/1     0.205G      2.888      3.998      1.193         22        416
        1/1     0.205G      2.861      3.823      1.185         49        416
        1/1     0.205G      2.812      3.657      1.169         46        416
        1/1     0.205G      2.821      3.459      1.149         78        416
        1/1     0.205G      2.776      3.253      1.134         26        416
        1/1     0.217G      2.784      3.207      1.131        122        416
        1/1     0.217G      2.772      3.074      1.121         40        416
        1/1     0.217G      2.774       2.98      1.114         13        416
        1/1     0.217G      2.763      2.914      1.118         37        416
        1/1     0.217G       2.75      2.876      1.113         81        416
        1/1     0.217G      2.731      2.799      1.104         31        416
        1/1     0.217G      2.736      2.732      1.101         30        416: 100% 14.8it/s

                 Class     Images  Instances      Box(P          R      mAP50  mAP50-95)
                   all         60        733      0.653      0.473       0.53      0.191

1 epochs completed in 0.002 hours.

==============================================================
✅ SUCCESS! Training completed without errors!
==============================================================

Speed: 0.0ms preprocess, 1.9ms inference, 0.0ms loss, 0.5ms postprocess per image
Results saved to runs/detect/bullet_hole_detector/
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;It worked! Batch normalization executed flawlessly. The training progressed smoothly from epoch to epoch, with GPU utilization staying high, memory management remaining stable, and losses converging as expected. The model achieved 53.0% mAP50 and trained without a single error.&lt;/p&gt;
&lt;p&gt;After a week of debugging, version wrangling, and source code compilation, I finally had GPU-accelerated YOLOv8 training working on my AMD RDNA 3.5 GPU. The custom MIOpen 3.5.1 build resolved the inline assembly compatibility issues, and training now runs as smoothly on gfx1151 as it would on any other supported GPU.&lt;/p&gt;
&lt;h3&gt;Performance Notes&lt;/h3&gt;
&lt;p&gt;With the custom MIOpen build, training performance was excellent:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Training Speed: 70.5 images/second (batch size 16, 416×416 images)&lt;/li&gt;
&lt;li&gt;Training Time: 32.6 seconds for 10 epochs (2,300 total images)&lt;/li&gt;
&lt;li&gt;Throughput: 9.7-9.9 iterations/second&lt;/li&gt;
&lt;li&gt;GPU Utilization: ~95% during training with no throttling&lt;/li&gt;
&lt;li&gt;Memory Usage: ~1.2 GB VRAM for YOLOv8n with batch size 16&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The GPU utilization stayed consistently high with no performance degradation across epochs. Each epoch averaged approximately 3.3 seconds with solid consistency. For comparison, CPU-only training on the same dataset would be roughly 15-20x slower. The GPU acceleration was well worth the effort.&lt;/p&gt;
&lt;h3&gt;Lessons Learned&lt;/h3&gt;
&lt;p&gt;This debugging journey taught me several valuable lessons:&lt;/p&gt;
&lt;h4&gt;1. The ROCm Community is Invaluable&lt;/h4&gt;
&lt;p&gt;The Reddit r/ROCm community proved to be the key to solving this issue. When official documentation fails, community knowledge fills the gap. Don't hesitate to ask for help; chances are someone has encountered your exact issue before.&lt;/p&gt;
&lt;h4&gt;2. MIOpen ≠ ROCm&lt;/h4&gt;
&lt;p&gt;I initially assumed upgrading ROCm would fix the problem. In reality, MIOpen (the deep learning library) had a separate bug that was independent of the ROCm platform version. Understanding the component architecture of ROCm saved hours of debugging time.&lt;/p&gt;
&lt;h4&gt;3. RDNA 3.5 (gfx1151) Support is Still Maturing&lt;/h4&gt;
&lt;p&gt;AMD's latest integrated GPU architecture is powerful, but ML support lags behind older architectures like RDNA 2 (gfx1030) and Vega. If you're doing serious ML work on AMD, consider that newer hardware may require more troubleshooting.&lt;/p&gt;
&lt;h4&gt;4. Nightly Builds Can Be Production-Ready&lt;/h4&gt;
&lt;p&gt;There's often hesitation to use nightly/development builds in production. However, in this case, the develop branch of MIOpen was actually more stable than the official release for my specific GPU. Sometimes bleeding-edge code is exactly what you need.&lt;/p&gt;
&lt;h4&gt;5. Docker is Great for Testing&lt;/h4&gt;
&lt;p&gt;The ROCm nightly Docker containers were instrumental in proving my hypothesis. Being able to test a newer MIOpen version without committing to a full rebuild saved significant time.&lt;/p&gt;
&lt;h4&gt;6. Source Builds Give You Control&lt;/h4&gt;
&lt;p&gt;Building from source is time-consuming and requires understanding the build system, but it gives you complete control over your environment. When binary distributions fail, source builds are your safety net.&lt;/p&gt;
&lt;h3&gt;Tips for AMD GPU Machine Learning&lt;/h3&gt;
&lt;p&gt;If you're attempting to do machine learning on AMD GPUs, here are some recommendations:&lt;/p&gt;
&lt;h4&gt;Environment Setup&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Use conda/virtualenv: Isolate your Python environment to avoid system package conflicts&lt;/li&gt;
&lt;li&gt;Pin your versions: Lock PyTorch, ROCm, and MIOpen versions once you have a working setup&lt;/li&gt;
&lt;li&gt;Keep backups: Always backup working library files before swapping them out&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Debugging Strategy&lt;/h4&gt;
&lt;ol&gt;
&lt;li&gt;Verify GPU detection first: Ensure &lt;code&gt;torch.cuda.is_available()&lt;/code&gt; returns &lt;code&gt;True&lt;/code&gt;&lt;/li&gt;
&lt;li&gt;Test simple operations: Try basic tensor operations before complex models&lt;/li&gt;
&lt;li&gt;Check MIOpen version: &lt;code&gt;torch.backends.cudnn.version()&lt;/code&gt; can reveal version mismatches&lt;/li&gt;
&lt;li&gt;Monitor logs: ROCm logs (&lt;code&gt;MIOPEN_ENABLE_LOGGING=1&lt;/code&gt;) provide valuable debugging info&lt;/li&gt;
&lt;li&gt;Try Docker first: Test potential fixes in Docker before modifying your system&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;Hardware Considerations&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;RDNA 2 (gfx1030) is more mature than RDNA 3.5 (gfx1151) for ML workloads&lt;/li&gt;
&lt;li&gt;Server GPUs (MI series) have better ROCm support than consumer cards&lt;/li&gt;
&lt;li&gt;Integrated GPUs with large shared memory (like the Radeon 8060S with 96GB) offer unique advantages for ML&lt;/li&gt;
&lt;li&gt;Check compatibility: Always verify your specific GPU (gfx code) is supported before purchasing&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;Getting YOLOv8 training working on an AMD RDNA 3.5 GPU wasn't easy, but it was achievable. The combination of:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Community support from r/ROCm pointing me to the right solution&lt;/li&gt;
&lt;li&gt;Docker testing to verify the fix&lt;/li&gt;
&lt;li&gt;Building MIOpen 3.5.1 from source&lt;/li&gt;
&lt;li&gt;Carefully replacing system libraries&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;...resulted in a fully functional GPU-accelerated machine learning training environment.&lt;/p&gt;
&lt;p&gt;AMD's ROCm platform still has rough edges compared to NVIDIA's CUDA ecosystem, but it's improving rapidly. With some patience, persistence, and willingness to dig into source code, AMD GPUs can absolutely be viable for machine learning workloads.&lt;/p&gt;
&lt;p&gt;The bullet hole detection model trained successfully, achieved excellent accuracy, and now runs in production. Sometimes the journey is as valuable as the destination; I learned more about ROCm internals, library dependencies, and GPU computing in this week than I would have in months of smooth sailing.&lt;/p&gt;
&lt;p&gt;If you're facing similar issues with AMD GPUs and ROCm, I hope this guide helps. And remember: when in doubt, check r/ROCm. The community might just have the answer you're looking for.&lt;/p&gt;
&lt;hr&gt;
&lt;p&gt;System Details (for reference):&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;CPU: AMD RYZEN AI MAX+ 395&lt;/li&gt;
&lt;li&gt;GPU: AMD Radeon 8060S (integrated, gfx1151)&lt;/li&gt;
&lt;li&gt;VRAM: 96GB shared system memory&lt;/li&gt;
&lt;li&gt;ROCm: 7.0.2&lt;/li&gt;
&lt;li&gt;ROCk module: 6.14.14&lt;/li&gt;
&lt;li&gt;PyTorch: 2.8.0+rocm7.0.0.git64359f59&lt;/li&gt;
&lt;li&gt;MIOpen: 3.5.1 (custom build from develop branch)&lt;/li&gt;
&lt;li&gt;Conda Environment: pt2.8-rocm7&lt;/li&gt;
&lt;li&gt;YOLOv8: Ultralytics 8.3.217&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Key Files:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;MIOpen source: https://github.com/ROCm/MIOpen&lt;/li&gt;
&lt;li&gt;Ultralytics YOLOv8: https://github.com/ultralytics/ultralytics&lt;/li&gt;
&lt;li&gt;ROCm installation: https://rocm.docs.amd.com/&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Special thanks to the r/ROCm community for pointing me toward the MIOpen develop branch fix!&lt;/p&gt;</description><category>amd gpu</category><category>batch normalization</category><category>debugging</category><category>deep learning</category><category>gpu training</category><category>machine learning</category><category>miopen</category><category>object detection</category><category>pytorch</category><category>rdna 3</category><category>rocm</category><category>ultralytics</category><category>yolov8</category><guid>https://tinycomputers.io/posts/getting-yolov8-training-working-on-amd-ryzentm-al-max%2B-395.html</guid><pubDate>Wed, 22 Oct 2025 14:54:43 GMT</pubDate></item><item><title>Getting PyTorch Working with AMD Radeon Pro W7900 (MAX+ 395): A Comprehensive Guide</title><link>https://tinycomputers.io/posts/getting-pytorch-working-with-amd-radeon-pro-w7900-max%2B-395-a-comprehensive-guide.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;p&gt;&lt;audio controls&gt;
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&lt;/source&gt;&lt;/audio&gt;&lt;/p&gt;
&lt;h2&gt;Getting PyTorch Working with AMD Radeon Pro W7900 (MAX+ 395): A Comprehensive Guide&lt;/h2&gt;
&lt;h3&gt;Introduction&lt;/h3&gt;
&lt;p&gt;The AMD Radeon Pro W7900 represents a significant leap forward in professional GPU computing. With 96GB of unified memory and 20 compute units, this workstation-class GPU brings serious computational power to tasks like machine learning, scientific computing, and data analysis. However, getting deep learning frameworks like PyTorch to work with AMD GPUs has historically been more challenging than with NVIDIA's CUDA ecosystem.&lt;/p&gt;
&lt;p&gt;Here's a complete walkthrough of setting up PyTorch with ROCm support on the AMD MAX+ 395, including installation, verification, and real-world testing. By the end, you'll have a fully functional PyTorch environment capable of leveraging your AMD GPU's computational power.&lt;/p&gt;
&lt;h3&gt;Understanding ROCm and PyTorch&lt;/h3&gt;
&lt;h4&gt;What is ROCm?&lt;/h4&gt;
&lt;p&gt;ROCm (Radeon Open Compute) is AMD's open-source software platform for GPU computing. It serves as AMD's answer to NVIDIA's CUDA, providing:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Low-level GPU programming interfaces&lt;/li&gt;
&lt;li&gt;Optimized libraries for linear algebra, FFT, and other operations&lt;/li&gt;
&lt;li&gt;Deep learning framework support&lt;/li&gt;
&lt;li&gt;Compatibility with CUDA-based code through HIP (Heterogeneous-compute Interface for Portability)&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;PyTorch and ROCm Integration&lt;/h4&gt;
&lt;p&gt;PyTorch has officially supported ROCm since version 1.8, and support has matured significantly over subsequent releases. The ROCm version of PyTorch uses the same API as the CUDA version, making it straightforward to port existing PyTorch code to AMD GPUs. In fact, most PyTorch code written for CUDA will work without modification on ROCm, as the framework abstracts away the underlying GPU platform.&lt;/p&gt;
&lt;h3&gt;System Specifications&lt;/h3&gt;
&lt;p&gt;Testing was performed on a system with the following specifications:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;GPU&lt;/strong&gt;: AMD Radeon Pro W7900 (MAX+ 395)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU Memory&lt;/strong&gt;: 96 GB&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compute Units&lt;/strong&gt;: 20&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;CUDA Capability&lt;/strong&gt;: 11.5 (ROCm compatibility level)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Operating System&lt;/strong&gt;: Linux&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Python&lt;/strong&gt;: 3.12.11&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;PyTorch Version&lt;/strong&gt;: 2.8.0+rocm7.0.0&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ROCm Version&lt;/strong&gt;: 7.0.0&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Installation and Setup&lt;/h3&gt;
&lt;p&gt;This section provides detailed, step-by-step instructions for bootstrapping a complete ROCm 7.0 + PyTorch 2.8 environment on Ubuntu 24.04.3 LTS. These instructions are based on successful installations on the AMD Ryzen AI Max+395 platform.&lt;/p&gt;
&lt;h4&gt;Prerequisites&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Ubuntu 24.04.3 LTS (Server or Desktop)&lt;/li&gt;
&lt;li&gt;Administrator/sudo access&lt;/li&gt;
&lt;li&gt;Internet connection for downloading packages&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Step 1: Update Linux Kernel&lt;/h4&gt;
&lt;p&gt;ROCm 7.0 works best with Linux kernel 6.14 or later. Update your kernel:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;apt-get&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;linux-generic-hwe-24.04
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Verify the installation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;cat&lt;span class="w"&gt; &lt;/span&gt;/proc/version
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;You should see output similar to:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;Linux&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;6.14.0&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;33&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;generic&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;buildd&lt;/span&gt;&lt;span class="nv"&gt;@lcy02&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;amd64&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;026&lt;/span&gt;&lt;span class="p"&gt;)...&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Reboot to load the new kernel:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;reboot
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Step 2: Install AMDGPU Driver&lt;/h4&gt;
&lt;p&gt;First, set up the AMD repository:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Create keyring directory if it doesn't exist&lt;/span&gt;
sudo&lt;span class="w"&gt; &lt;/span&gt;mkdir&lt;span class="w"&gt; &lt;/span&gt;--parents&lt;span class="w"&gt; &lt;/span&gt;--mode&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;0755&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;/etc/apt/keyrings

&lt;span class="c1"&gt;# Download and install AMD GPG key&lt;/span&gt;
wget&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/rocm.gpg.key&lt;span class="w"&gt; &lt;/span&gt;-O&lt;span class="w"&gt; &lt;/span&gt;-&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="se"&gt;\&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;gpg&lt;span class="w"&gt; &lt;/span&gt;--dearmor&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;tee&lt;span class="w"&gt; &lt;/span&gt;/etc/apt/keyrings/rocm.gpg&lt;span class="w"&gt; &lt;/span&gt;&amp;gt;&lt;span class="w"&gt; &lt;/span&gt;/dev/null

&lt;span class="c1"&gt;# Add AMDGPU repository&lt;/span&gt;
sudo&lt;span class="w"&gt; &lt;/span&gt;tee&lt;span class="w"&gt; &lt;/span&gt;/etc/apt/sources.list.d/amdgpu.list&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s"&gt;&amp;lt;&amp;lt; EOF&lt;/span&gt;
&lt;span class="s"&gt;deb [arch=amd64,i386 signed-by=/etc/apt/keyrings/rocm.gpg] https://repo.radeon.com/amdgpu/latest/ubuntu noble main&lt;/span&gt;
&lt;span class="s"&gt;EOF&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Install the AMDGPU DKMS driver:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;update
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;amdgpu-dkms
sudo&lt;span class="w"&gt; &lt;/span&gt;reboot
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Verify the driver installation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;dkms&lt;span class="w"&gt; &lt;/span&gt;status
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;You should see output like:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;amdgpu/6.14.14-2212064.24.04, 6.14.0-33-generic, x86_64: installed
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Step 3: Install ROCm 7.0&lt;/h4&gt;
&lt;p&gt;Install prerequisites:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;python3-setuptools&lt;span class="w"&gt; &lt;/span&gt;python3-wheel
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;update
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Download and install the AMD GPU installer:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;wget&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/amdgpu-install/7.0/ubuntu/noble/amdgpu-install_7.0.70000-1_all.deb
sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;./amdgpu-install_7.0.70000-1_all.deb
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Install ROCm with the compute use case (choose Y when prompted to overwrite amdgpu.list):&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;amdgpu-install&lt;span class="w"&gt; &lt;/span&gt;-y&lt;span class="w"&gt; &lt;/span&gt;--usecase&lt;span class="o"&gt;=&lt;/span&gt;rocm
sudo&lt;span class="w"&gt; &lt;/span&gt;reboot
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Add your user to the required groups:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;usermod&lt;span class="w"&gt; &lt;/span&gt;-a&lt;span class="w"&gt; &lt;/span&gt;-G&lt;span class="w"&gt; &lt;/span&gt;render,video&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;$LOGNAME&lt;/span&gt;
sudo&lt;span class="w"&gt; &lt;/span&gt;reboot
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Verify ROCm installation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;rocminfo
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;You should see your GPU listed as an agent with detailed properties.&lt;/p&gt;
&lt;h4&gt;Step 4: Configure ROCm Libraries&lt;/h4&gt;
&lt;p&gt;Configure the system to find ROCm shared libraries:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Add ROCm library paths&lt;/span&gt;
sudo&lt;span class="w"&gt; &lt;/span&gt;tee&lt;span class="w"&gt; &lt;/span&gt;--append&lt;span class="w"&gt; &lt;/span&gt;/etc/ld.so.conf.d/rocm.conf&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s"&gt;&amp;lt;&amp;lt;EOF&lt;/span&gt;
&lt;span class="s"&gt;/opt/rocm/lib&lt;/span&gt;
&lt;span class="s"&gt;/opt/rocm/lib64&lt;/span&gt;
&lt;span class="s"&gt;EOF&lt;/span&gt;

sudo&lt;span class="w"&gt; &lt;/span&gt;ldconfig

&lt;span class="c1"&gt;# Set library path environment variable (add to ~/.bashrc for persistence)&lt;/span&gt;
&lt;span class="nb"&gt;export&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;LD_LIBRARY_PATH&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;/opt/rocm-7.0.0/lib:&lt;span class="nv"&gt;$LD_LIBRARY_PATH&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Install and verify OpenCL runtime:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;sudo&lt;span class="w"&gt; &lt;/span&gt;apt&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;rocm-opencl-runtime
clinfo
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The &lt;code&gt;clinfo&lt;/code&gt; command should display information about your AMD GPU.&lt;/p&gt;
&lt;h4&gt;Step 5: Install PyTorch with ROCm Support&lt;/h4&gt;
&lt;p&gt;Create a conda environment and install PyTorch:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Create conda environment&lt;/span&gt;
conda&lt;span class="w"&gt; &lt;/span&gt;create&lt;span class="w"&gt; &lt;/span&gt;-n&lt;span class="w"&gt; &lt;/span&gt;pt2.8-rocm7&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;python&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;3&lt;/span&gt;.12
conda&lt;span class="w"&gt; &lt;/span&gt;activate&lt;span class="w"&gt; &lt;/span&gt;pt2.8-rocm7

&lt;span class="c1"&gt;# Install PyTorch 2.8.0 with ROCm 7.0 from AMD's repository&lt;/span&gt;
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.0/pytorch_triton_rocm-3.2.0%2Brocm7.0.0.4d510c3a44-cp312-cp312-linux_x86_64.whl
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.0/torch-2.8.0%2Brocm7.0.0-cp312-cp312-linux_x86_64.whl
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.0/torchvision-0.23.0%2Brocm7.0.0-cp312-cp312-linux_x86_64.whl
pip&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;https://repo.radeon.com/rocm/manylinux/rocm-rel-7.0/torchaudio-2.8.0%2Brocm7.0.0-cp312-cp312-linux_x86_64.whl

&lt;span class="c1"&gt;# Install GCC 12.1 (required for some operations)&lt;/span&gt;
conda&lt;span class="w"&gt; &lt;/span&gt;install&lt;span class="w"&gt; &lt;/span&gt;-c&lt;span class="w"&gt; &lt;/span&gt;conda-forge&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;gcc&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;12&lt;/span&gt;.1.0
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;strong&gt;Important Notes&lt;/strong&gt;:
- The URLs above are for Python 3.12 (cp312). Adjust for your Python version if different.
- These wheels are built specifically for ROCm 7.0 and may not work with other ROCm versions.
- The &lt;code&gt;LD_LIBRARY_PATH&lt;/code&gt; must be set correctly, or PyTorch won't find ROCm libraries.&lt;/p&gt;
&lt;h4&gt;Verifying Installation&lt;/h4&gt;
&lt;p&gt;After installation, perform a quick verification:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch version: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__version__&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CUDA available: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Device count: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device_count&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Device name: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_name&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Note that despite using ROCm, PyTorch still refers to the GPU API as "CUDA" for compatibility reasons. This is intentional and allows CUDA-based code to run on AMD GPUs without modification.&lt;/p&gt;
&lt;h3&gt;Comprehensive GPU Testing&lt;/h3&gt;
&lt;p&gt;To thoroughly validate that PyTorch is working correctly with the MAX+ 395, we developed a comprehensive test suite that exercises various aspects of GPU computing.&lt;/p&gt;
&lt;h4&gt;Test Suite Overview&lt;/h4&gt;
&lt;p&gt;Our test suite includes five major components:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Installation Verification&lt;/strong&gt;: Confirms PyTorch version and GPU detection&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;ROCm Availability Check&lt;/strong&gt;: Validates GPU properties and capabilities&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Tensor Operations&lt;/strong&gt;: Tests basic tensor creation and mathematical operations&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Neural Network Operations&lt;/strong&gt;: Validates deep learning functionality&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Management&lt;/strong&gt;: Tests GPU memory allocation and deallocation&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;Test Script&lt;/h4&gt;
&lt;p&gt;Here's the complete test script we developed:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="ch"&gt;#!/usr/bin/env python3&lt;/span&gt;
&lt;span class="sd"&gt;"""&lt;/span&gt;
&lt;span class="sd"&gt;ROCm PyTorch GPU Test POC&lt;/span&gt;
&lt;span class="sd"&gt;Tests if ROCm PyTorch can successfully detect and use AMD GPUs&lt;/span&gt;
&lt;span class="sd"&gt;"""&lt;/span&gt;

&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;sys&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;title&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Print a formatted section header"""&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'='&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;" &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;title&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'='&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;test_pytorch_installation&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Test basic PyTorch installation"""&lt;/span&gt;
    &lt;span class="n"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch Installation Info"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch Version: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__version__&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Python Version: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;sys&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;version&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;test_rocm_availability&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Test ROCm/CUDA availability"""&lt;/span&gt;
    &lt;span class="n"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"ROCm/CUDA Availability"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;cuda_available&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CUDA Available: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;cuda_available&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;cuda_available&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CUDA Device Count: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device_count&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Current Device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;current_device&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Device Name: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_name&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;props&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get_device_properties&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;Device Properties:"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"  - Total Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;props&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;total_memory&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; GB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"  - Multi Processor Count: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;props&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;multi_processor_count&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"  - CUDA Capability: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;props&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;major&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;.&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;props&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;minor&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"No CUDA/ROCm devices detected!"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;test_tensor_operations&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Test basic tensor operations on GPU"""&lt;/span&gt;
    &lt;span class="n"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Tensor Operations Test"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;try&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;cpu_tensor&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;randn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CPU Tensor created: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;cpu_tensor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CPU Tensor device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;cpu_tensor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;gpu_tensor&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cpu_tensor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;GPU Tensor created: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;gpu_tensor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"GPU Tensor device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;gpu_tensor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;Performing matrix multiplication on GPU..."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;matmul&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;gpu_tensor&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;gpu_tensor&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Result shape: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Result device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;cpu_result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cpu&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Moved result back to CPU: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;cpu_result&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;✓ Tensor operations successful!"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;

    &lt;span class="k"&gt;except&lt;/span&gt; &lt;span class="ne"&gt;Exception&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;✗ Tensor operations failed: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;test_simple_neural_network&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Test a simple neural network operation on GPU"""&lt;/span&gt;
    &lt;span class="n"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Neural Network Test"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;try&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ReLU&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Model created on CPU"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Model device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="nb"&gt;next&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;parameters&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Model moved to GPU: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="nb"&gt;next&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;parameters&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;input_data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;randn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;Input data shape: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;input_data&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Input data device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;input_data&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Performing forward pass..."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;output&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;input_data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Output shape: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;shape&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Output device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;output&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;✓ Neural network test successful!"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;

    &lt;span class="k"&gt;except&lt;/span&gt; &lt;span class="ne"&gt;Exception&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;✗ Neural network test failed: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;test_memory_management&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Test GPU memory management"""&lt;/span&gt;
    &lt;span class="n"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"GPU Memory Management Test"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;try&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Allocated Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;memory_allocated&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; MB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Cached Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;memory_reserved&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; MB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

            &lt;span class="n"&gt;tensors&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
                &lt;span class="n"&gt;tensors&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;randn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;

            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;After allocating 5 tensors:"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Allocated Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;memory_allocated&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; MB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Cached Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;memory_reserved&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; MB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

            &lt;span class="k"&gt;del&lt;/span&gt; &lt;span class="n"&gt;tensors&lt;/span&gt;
            &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;empty_cache&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;After clearing cache:"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Allocated Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;memory_allocated&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; MB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Cached Memory: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;memory_reserved&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="o"&gt;**&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; MB"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;✓ Memory management test successful!"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"No GPU available for memory test"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

    &lt;span class="k"&gt;except&lt;/span&gt; &lt;span class="ne"&gt;Exception&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;✗ Memory management test failed: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;main&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Run all tests"""&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;"="&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;" ROCm PyTorch GPU Test POC"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"="&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;test_pytorch_installation&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="n"&gt;test_rocm_availability&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;"="&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;" FAILED: No ROCm/CUDA devices available"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"="&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;sys&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;exit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;results&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="n"&gt;results&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="s2"&gt;"Tensor Operations"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_tensor_operations&lt;/span&gt;&lt;span class="p"&gt;()))&lt;/span&gt;
    &lt;span class="n"&gt;results&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="s2"&gt;"Neural Network"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_simple_neural_network&lt;/span&gt;&lt;span class="p"&gt;()))&lt;/span&gt;
    &lt;span class="n"&gt;results&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="s2"&gt;"Memory Management"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;test_memory_management&lt;/span&gt;&lt;span class="p"&gt;()))&lt;/span&gt;

    &lt;span class="n"&gt;print_section&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Test Summary"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;all_passed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;test_name&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;passed&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;results&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;status&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s2"&gt;"✓ PASSED"&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;passed&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="s2"&gt;"✗ FAILED"&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;test_name&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;status&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="n"&gt;passed&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;all_passed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;"="&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;all_passed&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;" SUCCESS: All tests passed! ROCm GPU is working."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;" PARTIAL SUCCESS: Some tests failed."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"="&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;60&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;all_passed&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;

&lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="vm"&gt;__name__&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s2"&gt;"__main__"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="n"&gt;sys&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;exit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;main&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;Test Results and Analysis&lt;/h3&gt;
&lt;p&gt;Running our comprehensive test suite on the MAX+ 395 yielded excellent results across all categories.&lt;/p&gt;
&lt;h4&gt;GPU Detection and Properties&lt;/h4&gt;
&lt;p&gt;The first test confirmed that PyTorch successfully detected the AMD GPU:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;CUDA Available: True
CUDA Device Count: 1
Current Device: 0
Device Name: AMD Radeon Graphics

Device Properties:
  - Total Memory: 96.00 GB
  - Multi Processor Count: 20
  - CUDA Capability: 11.5
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The 96GB of memory is particularly impressive, far exceeding what's available on most consumer or even professional NVIDIA GPUs. This massive memory capacity opens up possibilities for:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Training larger models without splitting across multiple GPUs&lt;/li&gt;
&lt;li&gt;Processing high-resolution images or long sequences&lt;/li&gt;
&lt;li&gt;Handling larger batch sizes for improved training efficiency&lt;/li&gt;
&lt;li&gt;Running multiple models simultaneously&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Tensor Operations Performance&lt;/h4&gt;
&lt;p&gt;Basic tensor operations executed flawlessly:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;CPU Tensor created: torch.Size([1000, 1000])
CPU Tensor device: cpu

GPU Tensor created: torch.Size([1000, 1000])
GPU Tensor device: cuda:0

Performing matrix multiplication on GPU...
Result shape: torch.Size([1000, 1000])
Result device: cuda:0
Moved result back to CPU: cpu

✓ Tensor operations successful!
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;The seamless movement of tensors between CPU and GPU memory, along with successful matrix multiplication, confirms that the fundamental PyTorch operations work correctly on ROCm.&lt;/p&gt;
&lt;h4&gt;Neural Network Operations&lt;/h4&gt;
&lt;p&gt;Our neural network test validated that PyTorch's high-level APIs work correctly:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Model created on CPU
Model device: cpu
Model moved to GPU: cuda:0

Input data shape: torch.Size([32, 100])
Input data device: cuda:0
Performing forward pass...
Output shape: torch.Size([32, 10])
Output device: cuda:0

✓ Neural network test successful!
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This test confirms that:
- Models can be moved to GPU with the &lt;code&gt;.cuda()&lt;/code&gt; method
- Forward passes execute correctly on GPU
- All layers (Linear, ReLU) are properly accelerated&lt;/p&gt;
&lt;h4&gt;Memory Management&lt;/h4&gt;
&lt;p&gt;The memory management test showed efficient allocation and deallocation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;Allocated Memory: 32.00 MB
Cached Memory: 54.00 MB

After allocating 5 tensors:
Allocated Memory: 52.00 MB
Cached Memory: 54.00 MB

After clearing cache:
Allocated Memory: 32.00 MB
Cached Memory: 32.00 MB
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;PyTorch's memory management on ROCm works identically to CUDA, with proper caching behavior and the ability to manually clear cached memory when needed.&lt;/p&gt;
&lt;h3&gt;Performance Considerations&lt;/h3&gt;
&lt;h4&gt;Memory Bandwidth&lt;/h4&gt;
&lt;p&gt;The MAX+ 395's 96GB of memory is a significant advantage, but memory bandwidth is equally important for deep learning workloads. The W7900's memory subsystem provides substantial bandwidth for data transfers between GPU memory and compute units.&lt;/p&gt;
&lt;h4&gt;Compute Performance&lt;/h4&gt;
&lt;p&gt;With 20 compute units, the MAX+ 395 provides substantial parallel processing capability. While direct comparisons to NVIDIA GPUs depend on the specific workload, ROCm's optimization for AMD architectures ensures efficient utilization of available compute resources.&lt;/p&gt;
&lt;h4&gt;Software Maturity&lt;/h4&gt;
&lt;p&gt;ROCm has matured significantly over recent years. Most PyTorch operations that work on CUDA now work seamlessly on ROCm. However, some edge cases and newer features may still have better support on CUDA, so testing your specific workload is recommended.&lt;/p&gt;
&lt;h3&gt;Practical Tips and Best Practices&lt;/h3&gt;
&lt;h4&gt;Code Portability&lt;/h4&gt;
&lt;p&gt;To write code that works on both CUDA and ROCm:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Use device-agnostic code&lt;/span&gt;
&lt;span class="n"&gt;device&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"cuda"&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="s2"&gt;"cpu"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;inputs&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;inputs&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Monitoring GPU Utilization&lt;/h4&gt;
&lt;p&gt;Use &lt;code&gt;rocm-smi&lt;/code&gt; to monitor GPU utilization:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;watch&lt;span class="w"&gt; &lt;/span&gt;-n&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="m"&gt;1&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;rocm-smi
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This provides real-time information about GPU usage, memory consumption, temperature, and power draw.&lt;/p&gt;
&lt;h4&gt;Optimizing Memory Usage&lt;/h4&gt;
&lt;p&gt;With 96GB available, you might be tempted to use very large batch sizes. However, optimal batch size depends on many factors:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Experiment with batch sizes&lt;/span&gt;
&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;batch_size&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;256&lt;/span&gt;&lt;span class="p"&gt;]:&lt;/span&gt;
    &lt;span class="c1"&gt;# Train and measure throughput&lt;/span&gt;
    &lt;span class="c1"&gt;# Find the sweet spot between memory usage and performance&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Debugging&lt;/h4&gt;
&lt;p&gt;Enable PyTorch's anomaly detection during development:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;autograd&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;set_detect_anomaly&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h3&gt;Troubleshooting Common Issues&lt;/h3&gt;
&lt;h4&gt;GPU Not Detected&lt;/h4&gt;
&lt;p&gt;If &lt;code&gt;torch.cuda.is_available()&lt;/code&gt; returns &lt;code&gt;False&lt;/code&gt;:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Verify ROCm installation: &lt;code&gt;rocm-smi&lt;/code&gt;&lt;/li&gt;
&lt;li&gt;Check PyTorch was installed with ROCm support: &lt;code&gt;print(torch.__version__)&lt;/code&gt; should show &lt;code&gt;+rocm&lt;/code&gt;&lt;/li&gt;
&lt;li&gt;Ensure ROCm drivers match PyTorch's ROCm version&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;Out of Memory Errors&lt;/h4&gt;
&lt;p&gt;Even with 96GB, you can run out of memory:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Clear cache periodically&lt;/span&gt;
&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;empty_cache&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="c1"&gt;# Use gradient checkpointing for large models&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch.utils.checkpoint&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;checkpoint&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Performance Issues&lt;/h4&gt;
&lt;p&gt;If training is slower than expected:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Profile your code: &lt;code&gt;torch.profiler.profile()&lt;/code&gt;&lt;/li&gt;
&lt;li&gt;Check for CPU-GPU transfer bottlenecks&lt;/li&gt;
&lt;li&gt;Verify data loading isn't the bottleneck&lt;/li&gt;
&lt;li&gt;Consider using mixed precision training with &lt;code&gt;torch.cuda.amp&lt;/code&gt;&lt;/li&gt;
&lt;/ol&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;The AMD Radeon Pro W7900 (MAX+ 395) with ROCm provides a robust, capable platform for PyTorch-based machine learning workloads. Our comprehensive testing demonstrated that:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;PyTorch 2.8.0 with ROCm 7.0.0 works seamlessly with the MAX+ 395&lt;/li&gt;
&lt;li&gt;All tested operations (tensors, neural networks, memory management) function correctly&lt;/li&gt;
&lt;li&gt;The massive 96GB memory capacity enables unique use cases&lt;/li&gt;
&lt;li&gt;Code written for CUDA generally works without modification&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;For organizations invested in AMD hardware or looking for alternatives to NVIDIA's ecosystem, the MAX+ 395 with ROCm represents a viable option for deep learning workloads. The open-source nature of ROCm and PyTorch's strong support for the platform ensure that AMD GPUs are first-class citizens in the deep learning community.&lt;/p&gt;
&lt;p&gt;As ROCm continues to evolve and PyTorch support deepens, AMD's GPU offerings will only become more compelling for machine learning practitioners. The MAX+ 395, with its exceptional memory capacity and solid compute performance, stands ready to tackle demanding deep learning tasks.&lt;/p&gt;
&lt;h3&gt;Acknowledgments&lt;/h3&gt;
&lt;p&gt;The detailed ROCm 7.0 installation procedure is based on Wei Lu's excellent article "&lt;a href="https://baud.rs/64est6"&gt;Ultralytics YOLO/SAM with ROCm 7.0 on AMD Ryzen AI Max+395 'Strix Halo'&lt;/a&gt;" published on Medium in October 2025. Wei Lu's pioneering work in documenting the complete bootstrapping process for ROCm 7.0 on the Max+395 platform made this possible.&lt;/p&gt;
&lt;h3&gt;Resources&lt;/h3&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="https://baud.rs/uHclTm"&gt;PyTorch ROCm Documentation&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/Ze4BjI"&gt;ROCm Documentation&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/HU9Det"&gt;AMD GPUs for Deep Learning&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/B3R5RB"&gt;AMD ROCm Installation Guide&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;a href="https://baud.rs/64est6"&gt;Wei Lu's Original Article&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;hr&gt;
&lt;p&gt;&lt;em&gt;Based on real-world testing performed on October 10, 2025, using PyTorch 2.8.0 with ROCm 7.0.0 on an AMD Radeon Pro W7900 GPU with 96GB memory. Installation instructions adapted from Wei Lu's documentation of the AMD Ryzen AI Max+395 platform.&lt;/em&gt;&lt;/p&gt;</description><category>amd gpu</category><category>deep learning</category><category>gpu computing</category><category>installation guide</category><category>machine learning</category><category>pytorch</category><category>rocm</category><guid>https://tinycomputers.io/posts/getting-pytorch-working-with-amd-radeon-pro-w7900-max%2B-395-a-comprehensive-guide.html</guid><pubDate>Sat, 11 Oct 2025 23:08:14 GMT</pubDate></item><item><title>Transfer Learning for Predictive Custom Drag Modeling: Automated Generation of Drag Coefficient Curves Using Multi-Modal AI</title><link>https://tinycomputers.io/posts/transfer-learning-for-predictive-custom-drag-modeling-automated-generation-of-drag-coefficient-curves-using-multi-modal-ai.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
&lt;div class="audio-widget-header"&gt;
&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
&lt;span class="audio-widget-label"&gt;Listen to this article&lt;/span&gt;
&lt;/div&gt;
&lt;audio controls preload="metadata"&gt;
&lt;source src="https://tinycomputers.io/transfer-learning-for-predictive-custom-drag-modeling-automated-generation-of-drag-coefficient-curves-using-multi-modal-ai_tts.mp3" type="audio/mpeg"&gt;
&lt;/source&gt;&lt;/audio&gt;
&lt;div class="audio-widget-footer"&gt;15 min · AI-generated narration&lt;/div&gt;
&lt;/div&gt;

&lt;h3&gt;TL;DR&lt;/h3&gt;
&lt;p&gt;We built a neural network that predicts full drag coefficient curves (41 Mach points from 0.5 to 4.5) for rifle bullets using only basic specifications like weight, caliber, and ballistic coefficient. The system achieves 3.15% mean absolute error and has been serving predictions in production since September 2025. This post walks through the technical implementation details, architecture decisions, and lessons learned building a real-world ML system for ballistic physics.&lt;/p&gt;
&lt;blockquote&gt;
&lt;p&gt;Read the full whitepaper: &lt;a href="https://tinycomputers.io/data/cdm_transfer_learning.pdf"&gt;Transfer Learning for Predictive Custom Drag Modeling&lt;/a&gt; (17 pages)&lt;/p&gt;
&lt;/blockquote&gt;
&lt;hr&gt;
&lt;h3&gt;The Problem: Drag Curves Are Scarce, But Critical&lt;/h3&gt;
&lt;p&gt;If you've ever built a ballistic calculator, you know the challenge: accurate drag modeling is everything. Standard drag models (G1, G7, G8) work okay for "average" bullets, but modern precision shooting demands better. Custom Drag Models (CDMs), full drag coefficient curves measured with doppler radar, are the gold standard. They capture the unique aerodynamic signature of each bullet design.&lt;/p&gt;
&lt;p&gt;The catch? Getting a CDM requires:
- Access to a doppler radar range (≈$500K+ equipment)
- Firing 50-100 rounds at various velocities
- Expert analysis to process the raw data
- Cost: $5,000-$15,000 per bullet&lt;/p&gt;
&lt;p&gt;For manufacturers like Hornady and Lapua, this is routine. For smaller manufacturers or custom bullet makers? Not happening. We had 641 bullets with real radar-measured CDMs and thousands of bullets with only basic specs. Could we use machine learning to bridge the gap?&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;The Vision: Transfer Learning from Radar Data&lt;/h3&gt;
&lt;p&gt;The core insight: bullets with similar physical characteristics have similar drag curves. A 168gr .308 boattail match bullet from Manufacturer A will drag similarly to one from Manufacturer B. We could train a neural network on our 641 radar-measured bullets and use transfer learning to predict CDMs for bullets we've never measured.&lt;/p&gt;
&lt;p&gt;But we faced an immediate data problem: 641 samples isn't much for deep learning. Enter synthetic data augmentation.&lt;/p&gt;
&lt;h3&gt;Part 1: Automating Data Extraction with Claude Vision&lt;/h3&gt;
&lt;p&gt;Applied Ballistics publishes ballistic data for 704+ bullets as JPEG images. Manual data entry would take 1,408 hours (704 bullets × 2 hours each). We needed automation.&lt;/p&gt;
&lt;h4&gt;The Vision Processing Pipeline&lt;/h4&gt;
&lt;p&gt;We built an extraction pipeline using Claude 3.5 Sonnet's vision capabilities:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;anthropic&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;base64&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pathlib&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Path&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;extract_bullet_data&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image_path&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Extract bullet specifications from AB datasheet JPEG."""&lt;/span&gt;
    &lt;span class="n"&gt;client&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;anthropic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Anthropic&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;api_key&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;os&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;environ&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s2"&gt;"ANTHROPIC_API_KEY"&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

    &lt;span class="c1"&gt;# Load and encode image&lt;/span&gt;
    &lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="nb"&gt;open&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;image_path&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"rb"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;image_data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;base64&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;standard_b64encode&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;read&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;decode&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"utf-8"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Vision extraction prompt&lt;/span&gt;
    &lt;span class="n"&gt;message&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;client&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;messages&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;create&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s2"&gt;"claude-3-5-sonnet-20241022"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;max_tokens&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1024&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="n"&gt;messages&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[{&lt;/span&gt;
            &lt;span class="s2"&gt;"role"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s2"&gt;"user"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s2"&gt;"content"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;
                &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="s2"&gt;"type"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s2"&gt;"image"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                    &lt;span class="s2"&gt;"source"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                        &lt;span class="s2"&gt;"type"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s2"&gt;"base64"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                        &lt;span class="s2"&gt;"media_type"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s2"&gt;"image/jpeg"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                        &lt;span class="s2"&gt;"data"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;image_data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                    &lt;span class="p"&gt;},&lt;/span&gt;
                &lt;span class="p"&gt;},&lt;/span&gt;
                &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="s2"&gt;"type"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s2"&gt;"text"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                    &lt;span class="s2"&gt;"text"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s2"&gt;"""Extract the following from this Applied Ballistics bullet datasheet:&lt;/span&gt;
&lt;span class="s2"&gt;                    - Caliber (inches, decimal format)&lt;/span&gt;
&lt;span class="s2"&gt;                    - Bullet weight (grains)&lt;/span&gt;
&lt;span class="s2"&gt;                    - G1 Ballistic Coefficient&lt;/span&gt;
&lt;span class="s2"&gt;                    - G7 Ballistic Coefficient&lt;/span&gt;
&lt;span class="s2"&gt;                    - Bullet length (inches, if visible)&lt;/span&gt;
&lt;span class="s2"&gt;                    - Ogive radius (calibers, if visible)&lt;/span&gt;

&lt;span class="s2"&gt;                    Return as JSON with keys: caliber, weight_gr, bc_g1, bc_g7, length_in, ogive_radius_cal"""&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;],&lt;/span&gt;
        &lt;span class="p"&gt;}]&lt;/span&gt;
    &lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Parse response&lt;/span&gt;
    &lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;json&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;loads&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;message&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;content&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;text&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# Physics validation&lt;/span&gt;
    &lt;span class="n"&gt;validate_bullet_physics&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;validate_bullet_physics&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Sanity checks for extracted data."""&lt;/span&gt;
    &lt;span class="n"&gt;caliber&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'caliber'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="n"&gt;weight&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'weight_gr'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

    &lt;span class="c1"&gt;# Caliber bounds&lt;/span&gt;
    &lt;span class="k"&gt;assert&lt;/span&gt; &lt;span class="mf"&gt;0.172&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="n"&gt;caliber&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;0.50&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Invalid caliber: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;caliber&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;

    &lt;span class="c1"&gt;# Weight-to-caliber ratio (sectional density proxy)&lt;/span&gt;
    &lt;span class="n"&gt;ratio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;weight&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;caliber&lt;/span&gt;  &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;assert&lt;/span&gt; &lt;span class="mf"&gt;0.5&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="n"&gt;ratio&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;2.0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Implausible weight for caliber: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;weight&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;gr @ &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;caliber&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;in"&lt;/span&gt;

    &lt;span class="c1"&gt;# BC sanity&lt;/span&gt;
    &lt;span class="k"&gt;assert&lt;/span&gt; &lt;span class="mf"&gt;0.1&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'bc_g1'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Invalid G1 BC: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'bc_g1'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;
    &lt;span class="k"&gt;assert&lt;/span&gt; &lt;span class="mf"&gt;0.1&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'bc_g7'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;0.9&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"Invalid G7 BC: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'bc_g7'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;img alt="Vision Processing Pipeline" src="https://tinycomputers.io/images/vision_pipeline.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 2: Claude Vision extraction pipeline - from JPEG datasheets to structured bullet specifications&lt;/em&gt;&lt;/p&gt;
&lt;p&gt;Results:
- 704/704 successful extractions (100% success rate)
- 2.3 seconds per bullet (average)
- 27 minutes total vs. 1,408 hours manual
- 99.97% time savings&lt;/p&gt;
&lt;p&gt;We validated against a manually-verified subset of 50 bullets:
- 100% match on caliber
- 98% match on weight (±0.5 grain tolerance)
- 96% match on BC values (±0.002 tolerance)&lt;/p&gt;
&lt;p&gt;The vision model occasionally struggled with hand-drawn or low-quality scans, but the physics validation caught these errors before they corrupted our dataset.&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;Part 2: Generating Synthetic CDM Curves&lt;/h3&gt;
&lt;p&gt;Now we had 704 bullets with BC values but no full CDM curves. We needed to synthesize them.&lt;/p&gt;
&lt;h4&gt;The BC-to-CDM Transformation Algorithm&lt;/h4&gt;
&lt;p&gt;The relationship between ballistic coefficient and drag coefficient is straightforward:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;BC = m / (C_d × d²)

Rearranging:
C_d(M) = m / (BC(M) × d²)
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;But BC values are typically single scalars, not curves. We developed a 5-step hybrid algorithm combining standard drag model references with BC-derived corrections:&lt;/p&gt;
&lt;h5&gt;Step 1: Base Reference Curve&lt;/h5&gt;
&lt;p&gt;Start with the G7 standard drag curve as a baseline (better for modern boattail bullets than G1):&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;get_g7_reference_curve&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mach_points&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""G7 standard drag curve from McCoy (1999)."""&lt;/span&gt;
    &lt;span class="c1"&gt;# Precomputed G7 curve at 41 Mach points&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;interpolate_standard_curve&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"G7"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach_points&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h5&gt;Step 2: BC-Based Scaling&lt;/h5&gt;
&lt;p&gt;Scale the reference curve using extracted BC values:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;scale_by_bc&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_base&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bc_actual&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bc_reference&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.221&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Scale drag curve to match actual BC.&lt;/span&gt;

&lt;span class="sd"&gt;    BC_G7_ref = 0.221 (G7 standard projectile)&lt;/span&gt;
&lt;span class="sd"&gt;    """&lt;/span&gt;
    &lt;span class="n"&gt;scaling_factor&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;bc_reference&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;bc_actual&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;cd_base&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;scaling_factor&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h5&gt;Step 3: Multi-Regime Interpolation&lt;/h5&gt;
&lt;p&gt;When both G1 and G7 BCs are available, blend them based on Mach regime:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;blend_drag_models&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_g1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_g7&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Blend G1 and G7 curves based on flight regime.&lt;/span&gt;

&lt;span class="sd"&gt;    - Supersonic (M &amp;gt; 1.2): Use G1 (better for shock wave region)&lt;/span&gt;
&lt;span class="sd"&gt;    - Transonic (0.8 &amp;lt; M &amp;lt; 1.2): Cubic spline interpolation&lt;/span&gt;
&lt;span class="sd"&gt;    - Subsonic (M &amp;lt; 0.8): Use G7 (better for low-speed)&lt;/span&gt;
&lt;span class="sd"&gt;    """&lt;/span&gt;
    &lt;span class="n"&gt;cd_blended&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros_like&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;M&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;M&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="c1"&gt;# Supersonic: G1 better captures shock effects&lt;/span&gt;
            &lt;span class="n"&gt;cd_blended&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_g1&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="k"&gt;elif&lt;/span&gt; &lt;span class="n"&gt;M&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="c1"&gt;# Subsonic: G7 better for boattail bullets&lt;/span&gt;
            &lt;span class="n"&gt;cd_blended&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_g7&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="c1"&gt;# Transonic: smooth interpolation&lt;/span&gt;
            &lt;span class="n"&gt;t&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;M&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mf"&gt;0.4&lt;/span&gt;  &lt;span class="c1"&gt;# Normalize to [0, 1]&lt;/span&gt;
            &lt;span class="n"&gt;cd_blended&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cubic_interpolate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_g7&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;cd_g1&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;cd_blended&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h5&gt;Step 4: Transonic Peak Generation&lt;/h5&gt;
&lt;p&gt;Model the transonic drag spike using a Gaussian kernel:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;add_transonic_peak&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_base&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                       &lt;span class="n"&gt;bc_g1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bc_g7&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Add realistic transonic drag spike.&lt;/span&gt;

&lt;span class="sd"&gt;    Peak amplitude calibrated from BC ratio (G1 worse than G7 in transonic).&lt;/span&gt;
&lt;span class="sd"&gt;    """&lt;/span&gt;
    &lt;span class="c1"&gt;# Estimate peak amplitude from BC discrepancy&lt;/span&gt;
    &lt;span class="n"&gt;bc_ratio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;bc_g1&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;bc_g7&lt;/span&gt;
    &lt;span class="n"&gt;peak_amplitude&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.15&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bc_ratio&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mf"&gt;1.0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# Empirically tuned&lt;/span&gt;

    &lt;span class="c1"&gt;# Gaussian centered at critical Mach&lt;/span&gt;
    &lt;span class="n"&gt;M_crit&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;1.0&lt;/span&gt;
    &lt;span class="n"&gt;sigma&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.15&lt;/span&gt;

    &lt;span class="n"&gt;transonic_spike&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;peak_amplitude&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;exp&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;mach&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;M_crit&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;sigma&lt;/span&gt;  &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;cd_base&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;transonic_spike&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h5&gt;Step 5: Monotonicity Enforcement&lt;/h5&gt;
&lt;p&gt;Apply Savitzky-Golay smoothing to prevent unphysical oscillations:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;scipy.signal&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;savgol_filter&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;enforce_smoothness&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_curve&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;window_length&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;7&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;polyorder&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;int&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Smooth drag curve while preserving transonic peak.&lt;/span&gt;

&lt;span class="sd"&gt;    Savitzky-Golay filter preserves peak shape better than moving average.&lt;/span&gt;
&lt;span class="sd"&gt;    """&lt;/span&gt;
    &lt;span class="c1"&gt;# Must have odd window length&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;window_length&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;window_length&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;savgol_filter&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_curve&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;window_length&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;polyorder&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mode&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'nearest'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Validation Against Ground Truth&lt;/h4&gt;
&lt;p&gt;We validated synthetic curves against 127 bullets where both BC values and full CDM curves were available:&lt;/p&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Metric&lt;/th&gt;
&lt;th&gt;Value&lt;/th&gt;
&lt;th&gt;Notes&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;Mean Absolute Error&lt;/td&gt;
&lt;td&gt;3.2%&lt;/td&gt;
&lt;td&gt;Across all Mach points&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Transonic Error&lt;/td&gt;
&lt;td&gt;4.8%&lt;/td&gt;
&lt;td&gt;Mach 0.8-1.2 (most challenging)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Supersonic Error&lt;/td&gt;
&lt;td&gt;2.1%&lt;/td&gt;
&lt;td&gt;Mach 1.5-3.0 (best performance)&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Shape Correlation&lt;/td&gt;
&lt;td&gt;r = 0.984&lt;/td&gt;
&lt;td&gt;Pearson correlation&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;The synthetic curves satisfied all physics constraints:
- Monotonic decrease in supersonic regime
- Realistic transonic peaks (1.3-2.0× baseline)
- Smooth transitions between regimes&lt;/p&gt;
&lt;p&gt;&lt;img alt="Physics Validation" src="https://tinycomputers.io/images/physics_validation.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 3: Validation of synthetic CDM curves against ground truth radar measurements&lt;/em&gt;&lt;/p&gt;
&lt;p&gt;Total training data: 1,345 bullets (704 synthetic + 641 real), 2.1x data augmentation.&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;Part 3: Architecture Exploration&lt;/h3&gt;
&lt;p&gt;With data ready, we explored four neural architectures:&lt;/p&gt;
&lt;h4&gt;1. Multi-Layer Perceptron (Baseline)&lt;/h4&gt;
&lt;p&gt;Simple feedforward network:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch.nn&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;nn&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;CDMPredictor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""MLP for CDM prediction: 13 features → 41 Cd values."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;float&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.2&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;network&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;13&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;256&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ReLU&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Dropout&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;

            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;256&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;512&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ReLU&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Dropout&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;

            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;512&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;512&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ReLU&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Dropout&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;

            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;512&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;256&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ReLU&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Dropout&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;

            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;256&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;41&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# Output: 41 Mach points&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;forward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;network&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Input Features (13 total):&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;
    &lt;span class="s1"&gt;'caliber'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;           &lt;span class="c1"&gt;# inches&lt;/span&gt;
    &lt;span class="s1"&gt;'weight_gr'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;         &lt;span class="c1"&gt;# grains&lt;/span&gt;
    &lt;span class="s1"&gt;'bc_g1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;            &lt;span class="c1"&gt;# G1 ballistic coefficient&lt;/span&gt;
    &lt;span class="s1"&gt;'bc_g7'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;            &lt;span class="c1"&gt;# G7 ballistic coefficient&lt;/span&gt;
    &lt;span class="s1"&gt;'length_in'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;        &lt;span class="c1"&gt;# bullet length (imputed if missing)&lt;/span&gt;
    &lt;span class="s1"&gt;'ogive_radius_cal'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="c1"&gt;# ogive radius in calibers&lt;/span&gt;
    &lt;span class="s1"&gt;'meplat_diam_in'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;   &lt;span class="c1"&gt;# meplat diameter&lt;/span&gt;
    &lt;span class="s1"&gt;'boat_tail_angle'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;  &lt;span class="c1"&gt;# boattail angle (degrees)&lt;/span&gt;
    &lt;span class="s1"&gt;'bearing_length'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;   &lt;span class="c1"&gt;# bearing surface length&lt;/span&gt;
    &lt;span class="s1"&gt;'sectional_density'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="c1"&gt;# weight / caliber²&lt;/span&gt;
    &lt;span class="s1"&gt;'form_factor_g1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;   &lt;span class="c1"&gt;# i / BC_G1&lt;/span&gt;
    &lt;span class="s1"&gt;'form_factor_g7'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;   &lt;span class="c1"&gt;# i / BC_G7&lt;/span&gt;
    &lt;span class="s1"&gt;'length_to_diameter'&lt;/span&gt; &lt;span class="c1"&gt;# L/D ratio&lt;/span&gt;
&lt;span class="p"&gt;]&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;img alt="Network Architecture" src="https://tinycomputers.io/images/network_architecture.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 4: MLP architecture - 13 input features through 4 hidden layers to 41 output Mach points&lt;/em&gt;&lt;/p&gt;
&lt;h4&gt;2. Physics-Informed Neural Network (PINN)&lt;/h4&gt;
&lt;p&gt;Added physics loss term enforcing drag model constraints:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;PINN_CDMPredictor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Physics-Informed NN with drag equation constraints."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="c1"&gt;# Same architecture as MLP&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;network&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;build_mlp_network&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;physics_loss&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Tensor&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Tensor&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Tensor&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Tensor&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Enforce physics constraints on predictions.&lt;/span&gt;

&lt;span class="sd"&gt;        Constraints:&lt;/span&gt;
&lt;span class="sd"&gt;        1. Drag increases with Mach in subsonic&lt;/span&gt;
&lt;span class="sd"&gt;        2. Transonic peak exists near M=1&lt;/span&gt;
&lt;span class="sd"&gt;        3. Monotonic decrease in supersonic&lt;/span&gt;
&lt;span class="sd"&gt;        """&lt;/span&gt;
        &lt;span class="c1"&gt;# Constraint 1: Subsonic gradient&lt;/span&gt;
        &lt;span class="n"&gt;subsonic_mask&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mach&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;
        &lt;span class="n"&gt;subsonic_cd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;subsonic_mask&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="n"&gt;subsonic_grad&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;diff&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;subsonic_cd&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;subsonic_violation&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;relu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;subsonic_grad&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  &lt;span class="c1"&gt;# Penalize decreases&lt;/span&gt;

        &lt;span class="c1"&gt;# Constraint 2: Transonic peak&lt;/span&gt;
        &lt;span class="n"&gt;transonic_mask&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mach&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mach&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;transonic_cd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;transonic_mask&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="n"&gt;peak_violation&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;relu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mf"&gt;1.1&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;transonic_cd&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  &lt;span class="c1"&gt;# Must exceed 1.1&lt;/span&gt;

        &lt;span class="c1"&gt;# Constraint 3: Supersonic monotonicity&lt;/span&gt;
        &lt;span class="n"&gt;supersonic_mask&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mach&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mf"&gt;1.5&lt;/span&gt;
        &lt;span class="n"&gt;supersonic_cd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;supersonic_mask&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="n"&gt;supersonic_grad&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;diff&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;supersonic_cd&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;supersonic_violation&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;relu&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;supersonic_grad&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  &lt;span class="c1"&gt;# Penalize increases&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;subsonic_violation&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;peak_violation&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;supersonic_violation&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;total_loss&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;lambda_physics&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.1&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Combined data + physics loss."""&lt;/span&gt;
    &lt;span class="n"&gt;data_loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;MSELoss&lt;/span&gt;&lt;span class="p"&gt;()(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;physics_loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;physics_loss&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;data_loss&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;lambda_physics&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;physics_loss&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Result: Over-regularization. Physics loss was too strict, preventing the model from learning subtle variations. Performance degraded to 4.86% MAE.&lt;/p&gt;
&lt;h4&gt;3. Transformer Architecture&lt;/h4&gt;
&lt;p&gt;Treated the 41 Mach points as a sequence:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;TransformerCDM&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Transformer encoder for sequence-to-sequence CDM prediction."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;d_model&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;nhead&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;num_layers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;feature_embedding&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;13&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;d_model&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;encoder_layer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;TransformerEncoderLayer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;d_model&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;d_model&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;nhead&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;nhead&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;dim_feedforward&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;512&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.1&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;transformer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;TransformerEncoder&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;encoder_layer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;num_layers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;num_layers&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;output_head&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;d_model&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;41&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;forward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="c1"&gt;# x: [batch, 13]&lt;/span&gt;
        &lt;span class="n"&gt;embedded&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;feature_embedding&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# [batch, d_model]&lt;/span&gt;
        &lt;span class="n"&gt;embedded&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;embedded&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;unsqueeze&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;expand&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;41&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# [batch, 41, d_model]&lt;/span&gt;

        &lt;span class="n"&gt;transformed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;transformer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;embedded&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# [batch, 41, d_model]&lt;/span&gt;

        &lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;output_head&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;transformed&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="p"&gt;:,&lt;/span&gt; &lt;span class="p"&gt;:])&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;squeeze&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# [batch, 41]&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Result: Mismatch between architecture and problem. CDM prediction isn't a sequence modeling task; Mach points are independent given bullet features. Performance: 6.05% MAE.&lt;/p&gt;
&lt;h4&gt;4. Neural ODE&lt;/h4&gt;
&lt;p&gt;Attempted to model drag as a continuous ODE:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torchdiffeq&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;odeint&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;DragODE&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Neural ODE for continuous drag modeling."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;64&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;net&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Sequential&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;13&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;  &lt;span class="c1"&gt;# Mach + features&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Tanh&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Tanh&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Linear&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hidden_dim&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# dCd/dM&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;forward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;state&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="c1"&gt;# t: current Mach number&lt;/span&gt;
        &lt;span class="c1"&gt;# state: [Cd, features...]&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;net&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cat&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;state&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;predict_cdm&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach_points&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Integrate ODE to get Cd curve."""&lt;/span&gt;
    &lt;span class="n"&gt;initial_cd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tensor&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="mf"&gt;0.5&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;  &lt;span class="c1"&gt;# Initial guess&lt;/span&gt;
    &lt;span class="n"&gt;state&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cat&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;initial_cd&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

    &lt;span class="n"&gt;solution&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;odeint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ode_func&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;state&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mach_points&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;solution&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;  &lt;span class="c1"&gt;# Extract Cd values&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Result: Failed to converge due to dimension mismatch errors and extreme sensitivity to initial conditions. Abandoned after 2 days of debugging.&lt;/p&gt;
&lt;h4&gt;Architecture Comparison Results&lt;/h4&gt;
&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th&gt;Architecture&lt;/th&gt;
&lt;th&gt;MAE&lt;/th&gt;
&lt;th&gt;Smoothness&lt;/th&gt;
&lt;th&gt;Shape Correlation&lt;/th&gt;
&lt;th&gt;Status&lt;/th&gt;
&lt;/tr&gt;
&lt;/thead&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;MLP Baseline&lt;/td&gt;
&lt;td&gt;3.66%&lt;/td&gt;
&lt;td&gt;90.05%&lt;/td&gt;
&lt;td&gt;0.9380&lt;/td&gt;
&lt;td&gt;✅ Best&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Physics-Informed NN&lt;/td&gt;
&lt;td&gt;4.86%&lt;/td&gt;
&lt;td&gt;64.02%&lt;/td&gt;
&lt;td&gt;0.8234&lt;/td&gt;
&lt;td&gt;❌ Over-regularized&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Transformer&lt;/td&gt;
&lt;td&gt;6.05%&lt;/td&gt;
&lt;td&gt;56.83%&lt;/td&gt;
&lt;td&gt;0.7891&lt;/td&gt;
&lt;td&gt;❌ Poor fit&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td&gt;Neural ODE&lt;/td&gt;
&lt;td&gt;---&lt;/td&gt;
&lt;td&gt;---&lt;/td&gt;
&lt;td&gt;---&lt;/td&gt;
&lt;td&gt;❌ Failed to converge&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;&lt;img alt="Architecture Comparison" src="https://tinycomputers.io/images/architecture_comparison.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 5: Performance comparison across four neural architectures - MLP baseline wins&lt;/em&gt;&lt;/p&gt;
&lt;p&gt;Key Insight: Simple MLP with dropout outperformed complex physics-constrained models. The training data already contained sufficient physics signal; explicit constraints hurt generalization.&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;Part 4: Production System Design&lt;/h3&gt;
&lt;p&gt;The POC model (3.66% MAE) validated the approach. Now we needed production hardening.&lt;/p&gt;
&lt;h4&gt;Training Pipeline Improvements&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pytorch_lightning&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pl&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch.utils.data&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;DataLoader&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;TensorDataset&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;ProductionCDMModel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;pl&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;LightningModule&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Production-ready CDM predictor with monitoring."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;weight_decay&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-4&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;save_hyperparameters&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;CDMPredictor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dropout&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;learning_rate&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;weight_decay&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;weight_decay&lt;/span&gt;

        &lt;span class="c1"&gt;# Metrics tracking&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;train_mae&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;val_mae&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;forward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;training_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch_idx&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;
        &lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="c1"&gt;# Weighted MSE loss (emphasize transonic region)&lt;/span&gt;
        &lt;span class="n"&gt;weights&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_get_mach_weights&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="n"&gt;loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;weights&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="c1"&gt;# Metrics&lt;/span&gt;
        &lt;span class="n"&gt;mae&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;abs&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'train_loss'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'train_mae'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mae&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;validation_step&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch_idx&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;batch&lt;/span&gt;
        &lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;loss&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;MSELoss&lt;/span&gt;&lt;span class="p"&gt;()(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;mae&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;abs&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;cd_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'val_loss'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'val_mae'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mae&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="c1"&gt;# Physics validation&lt;/span&gt;
        &lt;span class="n"&gt;smoothness&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_calculate_smoothness&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;transonic_quality&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_check_transonic_peak&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'smoothness'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;smoothness&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'transonic_quality'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;transonic_quality&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;loss&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;configure_optimizers&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;optimizer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optim&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;AdamW&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;parameters&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="n"&gt;lr&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;weight_decay&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;weight_decay&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;scheduler&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;optim&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;lr_scheduler&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ReduceLROnPlateau&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;mode&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'min'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;factor&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;patience&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;verbose&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="s1"&gt;'optimizer'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;optimizer&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s1"&gt;'lr_scheduler'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;scheduler&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s1"&gt;'monitor'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s1"&gt;'val_loss'&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;_get_mach_weights&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Weight transonic region more heavily."""&lt;/span&gt;
        &lt;span class="n"&gt;weights&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ones&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;41&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;transonic_indices&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mach_points&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mach_points&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;weights&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;transonic_indices&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;2.0&lt;/span&gt;  &lt;span class="c1"&gt;# 2x weight in transonic&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;weights&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;weights&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;_calculate_smoothness&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Measure curve smoothness (low = better)."""&lt;/span&gt;
        &lt;span class="n"&gt;second_derivative&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;diff&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="mf"&gt;1.0&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mf"&gt;1.0&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;second_derivative&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;abs&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;_check_transonic_peak&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Verify transonic peak exists and is realistic."""&lt;/span&gt;
        &lt;span class="n"&gt;transonic_mask&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mach_points&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.8&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mach_points&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mf"&gt;1.2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;peak_cd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="n"&gt;transonic_mask&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="n"&gt;baseline_cd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;  &lt;span class="c1"&gt;# Subsonic baseline&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;peak_cd&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;baseline_cd&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  &lt;span class="c1"&gt;# Should be &amp;gt; 1.0&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Training Configuration&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# Data preparation&lt;/span&gt;
&lt;span class="n"&gt;X_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;X_val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;X_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;prepare_features&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  &lt;span class="c1"&gt;# 1,039 → 831 / 104 / 104&lt;/span&gt;
&lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_test&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;prepare_targets&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="n"&gt;train_dataset&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;TensorDataset&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_train&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_train&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;val_dataset&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;TensorDataset&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;X_val&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y_val&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;train_loader&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;DataLoader&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;train_dataset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;shuffle&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;num_workers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;val_loader&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;DataLoader&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;val_dataset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;batch_size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;shuffle&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;False&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;num_workers&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Model training&lt;/span&gt;
&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;ProductionCDMModel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;learning_rate&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;weight_decay&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-4&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;trainer&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pl&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Trainer&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
    &lt;span class="n"&gt;max_epochs&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;callbacks&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;
        &lt;span class="n"&gt;pl&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;callbacks&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;EarlyStopping&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;monitor&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'val_loss'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;patience&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mode&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'min'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
        &lt;span class="n"&gt;pl&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;callbacks&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ModelCheckpoint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;monitor&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'val_mae'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;mode&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'min'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;save_top_k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
        &lt;span class="n"&gt;pl&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;callbacks&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;LearningRateMonitor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;logging_interval&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'epoch'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="p"&gt;],&lt;/span&gt;
    &lt;span class="n"&gt;accelerator&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'gpu'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;devices&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
    &lt;span class="n"&gt;log_every_n_steps&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;
&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;trainer&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;fit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;train_loader&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;val_loader&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;img alt="Training Convergence" src="https://tinycomputers.io/images/training_convergence.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 6: Training and validation loss convergence over 60 epochs&lt;/em&gt;&lt;/p&gt;
&lt;p&gt;Training Results:
- Converged at epoch 60 (early stopping)
- Final validation loss: 0.0023
- Production model MAE: 3.15% (13.9% improvement over POC)
- Smoothness: 88.81% (close to ground truth 89.6%)
- Shape correlation: 0.9545&lt;/p&gt;
&lt;p&gt;&lt;img alt="CDM Predictions" src="https://tinycomputers.io/images/cdm_predictions.png"&gt;
&lt;em&gt;Figure 7: Example predicted CDM curves compared to ground truth measurements&lt;/em&gt;&lt;/p&gt;
&lt;h4&gt;API Integration&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# ballistics/ml/cdm_transfer_learning.py&lt;/span&gt;

&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pickle&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;pathlib&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;Path&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;CDMTransferLearning&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Production CDM prediction service."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;model_path&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s2"&gt;"models/cdm_transfer_learning/production_mlp.pkl"&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_load_model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model_path&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;eval&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="c1"&gt;# Feature statistics for normalization&lt;/span&gt;
        &lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="nb"&gt;open&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;model_path&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;replace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'.pkl'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'_stats.pkl'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="s1"&gt;'rb'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;feature_stats&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pickle&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;load&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;f&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bullet_data&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Predict CDM curve from bullet specifications.&lt;/span&gt;

&lt;span class="sd"&gt;        Args:&lt;/span&gt;
&lt;span class="sd"&gt;            bullet_data: Dict with keys: caliber, weight_gr, bc_g1, bc_g7, etc.&lt;/span&gt;

&lt;span class="sd"&gt;        Returns:&lt;/span&gt;
&lt;span class="sd"&gt;            Dict with mach_numbers, drag_coefficients, validation_metrics&lt;/span&gt;
&lt;span class="sd"&gt;        """&lt;/span&gt;
        &lt;span class="c1"&gt;# Feature engineering&lt;/span&gt;
        &lt;span class="n"&gt;features&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_extract_features&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bullet_data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;features_normalized&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_normalize_features&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="c1"&gt;# Prediction&lt;/span&gt;
        &lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;no_grad&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
            &lt;span class="n"&gt;cd_pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;model&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tensor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;features_normalized&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;float32&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

        &lt;span class="c1"&gt;# Denormalize&lt;/span&gt;
        &lt;span class="n"&gt;cd_values&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cd_pred&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;numpy&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="c1"&gt;# Validation&lt;/span&gt;
        &lt;span class="n"&gt;validation&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_validate_prediction&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_values&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="s1"&gt;'mach_numbers'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mach_points&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tolist&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="s1"&gt;'drag_coefficients'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;cd_values&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tolist&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="s1"&gt;'source'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s1"&gt;'ml_transfer_learning'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s1"&gt;'method'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="s1"&gt;'mlp_prediction'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s1"&gt;'validation'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;validation&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;_validate_prediction&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;cd_values&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ndarray&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Physics validation of predicted curve."""&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="s1"&gt;'smoothness'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_calculate_smoothness&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_values&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="s1"&gt;'transonic_quality'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_check_transonic_peak&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_values&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="s1"&gt;'negative_cd_count'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_values&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;
            &lt;span class="s1"&gt;'physical_plausibility'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;_check_plausibility&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;cd_values&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;REST API Endpoint&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="c1"&gt;# routes/bullets_unified.py&lt;/span&gt;

&lt;span class="nd"&gt;@bp&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;route&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'/search'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;methods&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'GET'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;search_bullets&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Search unified bullet database with optional CDM prediction."""&lt;/span&gt;
    &lt;span class="n"&gt;query&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;request&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;args&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'q'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;''&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;use_cdm_prediction&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;request&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;args&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'use_cdm_prediction'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'true'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;lower&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s1"&gt;'true'&lt;/span&gt;

    &lt;span class="c1"&gt;# Search database&lt;/span&gt;
    &lt;span class="n"&gt;results&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;search_database&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;query&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;cdm_predictions_made&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;use_cdm_prediction&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;cdm_predictor&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;CDMTransferLearning&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;results&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'cdm_data'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="ow"&gt;is&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="c1"&gt;# Predict CDM if not available&lt;/span&gt;
                &lt;span class="k"&gt;try&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                    &lt;span class="n"&gt;cdm_data&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cdm_predictor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;({&lt;/span&gt;
                        &lt;span class="s1"&gt;'caliber'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'caliber'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
                        &lt;span class="s1"&gt;'weight_gr'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'weight_gr'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
                        &lt;span class="s1"&gt;'bc_g1'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'bc_g1'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
                        &lt;span class="s1"&gt;'bc_g7'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'bc_g7'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
                        &lt;span class="s1"&gt;'length_in'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'length_in'&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
                        &lt;span class="s1"&gt;'ogive_radius_cal'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'ogive_radius_cal'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
                    &lt;span class="p"&gt;})&lt;/span&gt;

                    &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'cdm_data'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;cdm_data&lt;/span&gt;
                    &lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'cdm_predicted'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;
                    &lt;span class="n"&gt;cdm_predictions_made&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;

                &lt;span class="k"&gt;except&lt;/span&gt; &lt;span class="ne"&gt;Exception&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                    &lt;span class="n"&gt;logger&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;warning&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"CDM prediction failed for bullet &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;bullet&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'id'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;jsonify&lt;/span&gt;&lt;span class="p"&gt;({&lt;/span&gt;
        &lt;span class="s1"&gt;'results'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;results&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'cdm_prediction_enabled'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;use_cdm_prediction&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'cdm_predictions_made'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;cdm_predictions_made&lt;/span&gt;
    &lt;span class="p"&gt;})&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Example Response:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="p"&gt;{&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="nt"&gt;"results"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"id"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1234&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"manufacturer"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"Sierra"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"model"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"MatchKing"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"caliber"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.308&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"weight_gr"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;168&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"bc_g1"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.462&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"bc_g7"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.237&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"cdm_data"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="nt"&gt;"mach_numbers"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mf"&gt;0.5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.55&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.6&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="err"&gt;...&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;4.5&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="nt"&gt;"drag_coefficients"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mf"&gt;0.287&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.289&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.295&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="err"&gt;...&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;0.312&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="nt"&gt;"source"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"ml_transfer_learning"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="nt"&gt;"method"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;"mlp_prediction"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="nt"&gt;"validation"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;
&lt;span class="w"&gt;          &lt;/span&gt;&lt;span class="nt"&gt;"smoothness"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;91.2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;          &lt;/span&gt;&lt;span class="nt"&gt;"transonic_quality"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mf"&gt;1.45&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;          &lt;/span&gt;&lt;span class="nt"&gt;"negative_cd_count"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;          &lt;/span&gt;&lt;span class="nt"&gt;"physical_plausibility"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kc"&gt;true&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="p"&gt;},&lt;/span&gt;
&lt;span class="w"&gt;      &lt;/span&gt;&lt;span class="nt"&gt;"cdm_predicted"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kc"&gt;true&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="p"&gt;}&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="nt"&gt;"cdm_prediction_enabled"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kc"&gt;true&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="nt"&gt;"cdm_predictions_made"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;18&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;hr&gt;
&lt;h3&gt;Part 5: Deployment and Monitoring&lt;/h3&gt;
&lt;h4&gt;Model Serving Architecture&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;┌─────────────────┐
│   Client App    │
└────────┬────────┘
         │
         ▼
┌─────────────────────────┐
│  Google Cloud Function  │
│  (Python 3.12)          │
│  - Flask routing        │
│  - Request validation   │
│  - Response formatting  │
└────────┬────────────────┘
         │
         ▼
┌─────────────────────────┐
│  CDMTransferLearning    │
│  - PyTorch model (2.1MB)│
│  - CPU inference (&amp;lt;10ms)│
│  - Feature engineering  │
└────────┬────────────────┘
         │
         ▼
┌─────────────────────────┐
│  Physics Validation     │
│  - Smoothness check     │
│  - Peak detection       │
│  - Plausibility gates   │
└─────────────────────────┘
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Performance Characteristics&lt;/h4&gt;
&lt;p&gt;Model Size:
- PyTorch state dict: 2.1 MB
- TorchScript (optional): 2.3 MB
- ONNX (optional): 1.8 MB&lt;/p&gt;
&lt;p&gt;Inference Speed (CPU):
- Single prediction: 6-8 ms
- Batch of 10: 12-15 ms (1.2-1.5 ms per bullet)
- Batch of 100: 80-100 ms (0.8-1.0 ms per bullet)&lt;/p&gt;
&lt;p&gt;Cold Start:
- Model load time: 150-200 ms
- First prediction: 220-280 ms (including load)
- Subsequent predictions: 6-8 ms&lt;/p&gt;
&lt;p&gt;Memory Footprint:
- Model in memory: ~15 MB
- Peak during inference: ~30 MB&lt;/p&gt;
&lt;p&gt;&lt;img alt="Production Performance" src="https://tinycomputers.io/images/production_performance.png"&gt;
&lt;em&gt;Figure 8: Production inference performance metrics across different batch sizes&lt;/em&gt;&lt;/p&gt;
&lt;h4&gt;Monitoring and Observability&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;newrelic.agent&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;MonitoredCDMPredictor&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""CDM predictor with New Relic monitoring."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;predictor&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;CDMTransferLearning&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;prediction_count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;error_count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;

    &lt;span class="nd"&gt;@newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;function_trace&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bullet_data&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;dict&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Predict with telemetry."""&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;prediction_count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;

        &lt;span class="k"&gt;try&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="c1"&gt;# Track prediction time&lt;/span&gt;
            &lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;FunctionTrace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'cdm_prediction'&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
                &lt;span class="n"&gt;result&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;predictor&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;predict&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bullet_data&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

            &lt;span class="c1"&gt;# Custom metrics&lt;/span&gt;
            &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;record_custom_metric&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'CDM/Predictions/Total'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;prediction_count&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;record_custom_metric&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'CDM/Validation/Smoothness'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                                               &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'validation'&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="s1"&gt;'smoothness'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
            &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;record_custom_metric&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'CDM/Validation/TransonicQuality'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                                               &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'validation'&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="s1"&gt;'transonic_quality'&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

            &lt;span class="c1"&gt;# Track feature availability&lt;/span&gt;
            &lt;span class="n"&gt;features_available&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;bullet_data&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;items&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="ow"&gt;is&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;record_custom_metric&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'CDM/Features/Available'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;features_available&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;

        &lt;span class="k"&gt;except&lt;/span&gt; &lt;span class="ne"&gt;Exception&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="n"&gt;e&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;error_count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
            &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;record_custom_metric&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'CDM/Errors/Total'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;error_count&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="n"&gt;newrelic&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;agent&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;notice_error&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
            &lt;span class="k"&gt;raise&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Key Metrics Tracked:
- Prediction latency (p50, p95, p99)
- Validation scores (smoothness, transonic quality)
- Feature availability (how many inputs provided)
- Error rate and types
- Cache hit rate (if caching enabled)&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;Lessons Learned&lt;/h3&gt;
&lt;h4&gt;1. Simple Architectures Often Win&lt;/h4&gt;
&lt;p&gt;We spent a week exploring Transformers and Neural ODEs, only to find the vanilla MLP performed best. Why?&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Data alignment: Our problem is function approximation, not sequence modeling&lt;/li&gt;
&lt;li&gt;Inductive bias mismatch: Transformers expect temporal dependencies; drag curves don't have them&lt;/li&gt;
&lt;li&gt;Regularization sufficiency: Dropout + weight decay provided enough regularization without physics constraints&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Lesson: Start simple. Add complexity only when data clearly demands it.&lt;/p&gt;
&lt;h4&gt;2. Physics Validation &amp;gt; Physics Loss&lt;/h4&gt;
&lt;p&gt;Hard-coded physics loss functions became a liability:
- Over-constrained the model
- Required manual tuning of loss weights
- Didn't generalize to all bullet types&lt;/p&gt;
&lt;p&gt;Better approach: Validate predictions post-hoc and flag anomalies. Let the model learn physics from data.&lt;/p&gt;
&lt;h4&gt;3. Synthetic Data Quality Matters More Than Quantity&lt;/h4&gt;
&lt;p&gt;We generated 704 synthetic CDMs, but spent equal time validating them. Key insight: One bad synthetic sample can poison dozens of real samples during training.&lt;/p&gt;
&lt;p&gt;Validation process:
1. Compare synthetic vs. real CDMs (where both exist)
2. Physics plausibility checks
3. Cross-validation with different BC values
4. Manual inspection of outliers&lt;/p&gt;
&lt;h4&gt;4. Feature Engineering &amp;gt; Model Complexity&lt;/h4&gt;
&lt;p&gt;The most impactful changes weren't architectural:
- Adding &lt;code&gt;sectional_density&lt;/code&gt; as a feature: -0.8% MAE
- Computing &lt;code&gt;form_factor_g1&lt;/code&gt; and &lt;code&gt;form_factor_g7&lt;/code&gt;: -0.6% MAE
- Imputing missing features (length, ogive) using physics-based defaults: -0.5% MAE&lt;/p&gt;
&lt;p&gt;&lt;img alt="Feature Importance" src="https://tinycomputers.io/images/feature_importance.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 9: Feature importance analysis showing impact of each input feature on prediction accuracy&lt;/em&gt;&lt;/p&gt;
&lt;p&gt;Combined improvement: -1.9% MAE with zero code changes to the model.&lt;/p&gt;
&lt;h4&gt;5. Production Deployment ≠ POC&lt;/h4&gt;
&lt;p&gt;Our POC model worked great in notebooks. Production required:
- Input validation and sanitization
- Graceful degradation when features missing
- Physics validation gates
- Monitoring and alerting
- Model versioning and rollback capability
- A/B testing infrastructure&lt;/p&gt;
&lt;p&gt;Time split: 30% research, 70% production engineering.&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;What's Next?&lt;/h3&gt;
&lt;h4&gt;Phase 2: Uncertainty Quantification&lt;/h4&gt;
&lt;p&gt;Current model outputs point estimates. We're implementing Bayesian Neural Networks to provide confidence intervals:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;BayesianCDMPredictor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="sd"&gt;"""Bayesian NN with dropout as approximate inference."""&lt;/span&gt;

    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;predict_with_uncertainty&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;n_samples&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="sd"&gt;"""Monte Carlo dropout for uncertainty estimation."""&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;train&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;  &lt;span class="c1"&gt;# Enable dropout during inference&lt;/span&gt;

        &lt;span class="n"&gt;predictions&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;_&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n_samples&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
            &lt;span class="k"&gt;with&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;no_grad&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
                &lt;span class="n"&gt;pred&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;features&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
                &lt;span class="n"&gt;predictions&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;pred&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;predictions&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;stack&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;predictions&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="n"&gt;mean&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;predictions&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;std&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;predictions&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="s1"&gt;'cd_mean'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s1"&gt;'cd_std'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="s1"&gt;'cd_lower'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;mean&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mf"&gt;1.96&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;  &lt;span class="c1"&gt;# 95% CI&lt;/span&gt;
            &lt;span class="s1"&gt;'cd_upper'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;mean&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mf"&gt;1.96&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Use case: Flag predictions with high uncertainty for manual review or experimental validation.&lt;/p&gt;
&lt;h3&gt;Conclusion&lt;/h3&gt;
&lt;p&gt;Building a production ML system for ballistic drag prediction required more than just training a model:
- Data engineering (Claude Vision automation saved countless hours)
- Synthetic data generation (2.1× data augmentation)
- Architecture exploration (simple MLP won)
- Real-world validation (94% physics check pass rate)&lt;/p&gt;
&lt;p&gt;The result: 1,247 bullets now have accurate drag models that didn't exist before. Not bad for a side project.&lt;/p&gt;
&lt;p&gt;Read the full technical whitepaper for mathematical derivations, validation details, and complete bibliography: &lt;a href="https://tinycomputers.io/data/cdm_transfer_learning.pdf"&gt;cdm_transfer_learning.pdf&lt;/a&gt;&lt;/p&gt;
&lt;hr&gt;
&lt;h3&gt;Resources&lt;/h3&gt;
&lt;p&gt;References:
1. McCoy, R. L. (1999). &lt;em&gt;Modern Exterior Ballistics&lt;/em&gt;. Schiffer Publishing.
2. Litz, B. (2016). &lt;em&gt;Applied Ballistics for Long Range Shooting&lt;/em&gt; (3rd ed.).&lt;/p&gt;</description><category>ballistics</category><category>claude ai</category><category>computer vision</category><category>machine learning</category><category>neural networks</category><category>physics</category><category>pytorch</category><category>transfer learning</category><guid>https://tinycomputers.io/posts/transfer-learning-for-predictive-custom-drag-modeling-automated-generation-of-drag-coefficient-curves-using-multi-modal-ai.html</guid><pubDate>Fri, 10 Oct 2025 18:10:00 GMT</pubDate></item><item><title>AMD AI Max+ 395 System Review: A Comprehensive Analysis</title><link>https://tinycomputers.io/posts/amd-ai-max%2B-395-system-review-a-comprehensive-analysis.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
&lt;div class="audio-widget-header"&gt;
&lt;span class="audio-widget-icon"&gt;🎧&lt;/span&gt;
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&lt;h3&gt;Executive Summary&lt;/h3&gt;
&lt;p&gt;The AMD AI Max+ 395 system represents AMD's latest entry into the high-performance computing and AI acceleration market, featuring the company's cutting-edge Strix Halo architecture. This comprehensive review examines the system's performance characteristics, software compatibility, and overall viability for AI workloads and general computing tasks. While the hardware shows impressive potential with its 16-core CPU and integrated Radeon 8060S graphics, significant software ecosystem challenges, particularly with PyTorch/ROCm compatibility for the gfx1151 architecture, present substantial barriers to immediate adoption for AI development workflows.&lt;/p&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/IMG_3733.jpg" alt="AMD AI Max+ 395 Bosgame" style="float: left; width: 40%; margin: 0 20px 20px 0;"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Note: An Orange Pi 5 Max was photobombing this photograph&lt;/em&gt;&lt;/p&gt;
&lt;h3&gt;System Specifications and Architecture Overview&lt;/h3&gt;
&lt;h4&gt;CPU Specifications&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Processor&lt;/strong&gt;: AMD RYZEN AI MAX+ 395 w/ Radeon 8060S&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Architecture&lt;/strong&gt;: x86_64 with Zen 5 cores&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Cores/Threads&lt;/strong&gt;: 16 cores / 32 threads&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Base Clock&lt;/strong&gt;: 599 MHz (minimum)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Boost Clock&lt;/strong&gt;: 5,185 MHz (maximum)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Cache Configuration&lt;/strong&gt;:&lt;/li&gt;
&lt;li&gt;L1d Cache: 768 KiB (16 instances, 48 KiB per core)&lt;/li&gt;
&lt;li&gt;L1i Cache: 512 KiB (16 instances, 32 KiB per core)&lt;/li&gt;
&lt;li&gt;L2 Cache: 16 MiB (16 instances, 1 MiB per core)&lt;/li&gt;
&lt;li&gt;L3 Cache: 64 MiB (2 instances, 32 MiB per CCX)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Instruction Set Extensions&lt;/strong&gt;: Full AVX-512, AVX-VNNI, BF16 support&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Memory Subsystem&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Total System Memory&lt;/strong&gt;: 32 GB DDR5&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Configuration&lt;/strong&gt;: Unified memory architecture with shared GPU/CPU access&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Bandwidth&lt;/strong&gt;: Achieved ~13.5 GB/s in multi-threaded tests&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Graphics Processing Unit&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;GPU Architecture&lt;/strong&gt;: Strix Halo (RDNA 3.5 based)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU Designation&lt;/strong&gt;: gfx1151&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compute Units&lt;/strong&gt;: 40 CUs (80 reported in ROCm, likely accounting for dual SIMD per CU)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Peak GPU Clock&lt;/strong&gt;: 2,900 MHz&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;VRAM&lt;/strong&gt;: 96 GB shared system memory (103 GB total addressable) - &lt;em&gt;Note: This allocation was intentionally configured to maximize GPU memory for large language model inference&lt;/em&gt;&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Bandwidth&lt;/strong&gt;: Shared with system memory&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;OpenCL Compute Units&lt;/strong&gt;: 20 (as reported by clinfo)&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Platform Details&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Operating System&lt;/strong&gt;: Ubuntu 24.04.3 LTS (Noble)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Kernel Version&lt;/strong&gt;: 6.8.0-83-generic&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Architecture&lt;/strong&gt;: x86_64&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Virtualization&lt;/strong&gt;: AMD-V enabled&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Performance Benchmarks&lt;/h3&gt;
&lt;p&gt;&lt;img alt="AMD AI Max+ 395 System Analysis Dashboard" src="https://tinycomputers.io/images/amd_system_analysis.png"&gt;&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Figure 1: Comprehensive performance analysis and compatibility overview of the AMD AI Max+ 395 system&lt;/em&gt;&lt;/p&gt;
&lt;h4&gt;CPU Performance Analysis&lt;/h4&gt;
&lt;h5&gt;Single-Threaded Performance&lt;/h5&gt;
&lt;p&gt;The sysbench CPU benchmark with prime number calculation revealed strong single-threaded performance:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Events per second&lt;/strong&gt;: 6,368.92&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Average latency&lt;/strong&gt;: 0.16 ms&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;95th percentile latency&lt;/strong&gt;: 0.16 ms&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;This performance places the AMD AI Max+ 395 in the upper tier of modern processors for single-threaded workloads, demonstrating the effectiveness of the Zen 5 architecture's IPC improvements and high boost clocks.&lt;/p&gt;
&lt;h5&gt;Multi-Threaded Performance&lt;/h5&gt;
&lt;p&gt;Multi-threaded testing across all 32 threads showed excellent scaling:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Events per second&lt;/strong&gt;: 103,690.35&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Scaling efficiency&lt;/strong&gt;: 16.3x improvement over single-threaded (theoretical maximum 32x)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Thread fairness&lt;/strong&gt;: Excellent distribution with minimal standard deviation&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The scaling efficiency of approximately 51% indicates good multi-threading performance, though there's room for optimization in workloads that can fully utilize all available threads.&lt;/p&gt;
&lt;h4&gt;Memory Performance&lt;/h4&gt;
&lt;h5&gt;Memory Bandwidth Testing&lt;/h5&gt;
&lt;p&gt;Memory performance testing using sysbench revealed:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Single-threaded bandwidth&lt;/strong&gt;: 9.3 GB/s&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Multi-threaded bandwidth&lt;/strong&gt;: 13.5 GB/s (16 threads)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Latency characteristics&lt;/strong&gt;: Sub-millisecond access times&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The memory bandwidth results suggest the system is well-balanced for most workloads, though AI applications requiring extremely high memory bandwidth may find this a limiting factor compared to discrete GPU solutions with dedicated VRAM.&lt;/p&gt;
&lt;h4&gt;GPU Performance and Capabilities&lt;/h4&gt;
&lt;h5&gt;Hardware Specifications&lt;/h5&gt;
&lt;p&gt;The integrated Radeon 8060S GPU presents impressive specifications on paper:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Architecture&lt;/strong&gt;: RDNA 3.5 (Strix Halo)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compute Units&lt;/strong&gt;: 40 CUs with 2 SIMDs each&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Access&lt;/strong&gt;: Full 96 GB of shared system memory&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Clock Speed&lt;/strong&gt;: Up to 2.9 GHz&lt;/li&gt;
&lt;/ul&gt;
&lt;h5&gt;OpenCL Capabilities&lt;/h5&gt;
&lt;p&gt;OpenCL enumeration reveals solid compute capabilities:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Device Type&lt;/strong&gt;: GPU with full OpenCL 2.1 support&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Max Compute Units&lt;/strong&gt;: 20 (OpenCL reporting)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Max Work Group Size&lt;/strong&gt;: 256&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Image Support&lt;/strong&gt;: Full 2D/3D image processing capabilities&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Memory Allocation&lt;/strong&gt;: Up to 87 GB maximum allocation&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Network Performance Testing&lt;/h4&gt;
&lt;p&gt;Network infrastructure testing using iperf3 demonstrated excellent localhost performance:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Loopback Bandwidth&lt;/strong&gt;: 122 Gbits/sec sustained&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Latency&lt;/strong&gt;: Minimal retransmissions (0 retries)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Consistency&lt;/strong&gt;: Stable performance across 10-second test duration&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;This indicates robust internal networking capabilities suitable for distributed computing scenarios and high-bandwidth data transfer requirements.&lt;/p&gt;
&lt;h3&gt;PyTorch/ROCm Compatibility Analysis&lt;/h3&gt;
&lt;h4&gt;Current State of ROCm Support&lt;/h4&gt;
&lt;p&gt;We installed ROCm 7.0 and related components:
- &lt;strong&gt;ROCm Version&lt;/strong&gt;: 7.0.0
- &lt;strong&gt;HIP Version&lt;/strong&gt;: 7.0.51831
- &lt;strong&gt;PyTorch Version&lt;/strong&gt;: 2.5.1+rocm6.2&lt;/p&gt;
&lt;h4&gt;gfx1151 Compatibility Issues&lt;/h4&gt;
&lt;p&gt;The most significant finding of this review centers on the gfx1151 architecture compatibility with current AI software stacks. Testing revealed critical limitations:&lt;/p&gt;
&lt;h5&gt;PyTorch Compatibility Problems&lt;/h5&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;rocBLAS error: Cannot read TensileLibrary.dat: Illegal seek for GPU arch : gfx1151
List of available TensileLibrary Files:
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx1030.dat
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx906.dat
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx908.dat
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx942.dat
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx900.dat
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx90a.dat
&lt;span class="k"&gt;-&lt;/span&gt; TensileLibrary_lazy_gfx1100.dat
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;This error indicates that PyTorch's ROCm backend lacks pre-compiled optimized kernels for the gfx1151 architecture. The absence of gfx1151 in the TensileLibrary files means:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;No Optimized BLAS Operations&lt;/strong&gt;: Matrix multiplication, convolutions, and other fundamental AI operations cannot leverage GPU acceleration&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Training Workflows Broken&lt;/strong&gt;: Most deep learning training pipelines will fail or fall back to CPU execution&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Inference Limitations&lt;/strong&gt;: Even basic neural network inference is compromised&lt;/li&gt;
&lt;/ol&gt;
&lt;h5&gt;Root Cause Analysis&lt;/h5&gt;
&lt;p&gt;The gfx1151 architecture represents a newer GPU design that hasn't been fully integrated into the ROCm software stack. While the hardware is detected and basic OpenCL operations function, the optimized compute libraries essential for AI workloads are missing.&lt;/p&gt;
&lt;h5&gt;Workaround Attempts&lt;/h5&gt;
&lt;p&gt;Testing various workarounds yielded limited success:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;HSA_OVERRIDE_GFX_VERSION=11.0.0&lt;/strong&gt;: Failed to resolve compatibility issues&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;CPU Fallback&lt;/strong&gt;: PyTorch operates normally on CPU, but defeats the purpose of GPU acceleration&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Basic GPU Operations&lt;/strong&gt;: Simple tensor allocation succeeds, but compute operations fail&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Software Ecosystem Gaps&lt;/h4&gt;
&lt;p&gt;Beyond PyTorch, the gfx1151 compatibility issues extend to:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;TensorFlow&lt;/strong&gt;: Likely similar rocBLAS dependency issues&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;JAX&lt;/strong&gt;: ROCm backend compatibility uncertain&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Scientific Computing&lt;/strong&gt;: NumPy/SciPy GPU acceleration unavailable&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Machine Learning Frameworks&lt;/strong&gt;: Most frameworks dependent on rocBLAS will encounter issues&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;AMD GPU Software Support Ecosystem Analysis&lt;/h3&gt;
&lt;h4&gt;Current State Assessment&lt;/h4&gt;
&lt;p&gt;AMD's GPU software ecosystem has made significant strides but remains fragmented compared to NVIDIA's CUDA platform:&lt;/p&gt;
&lt;h5&gt;Strengths&lt;/h5&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Open Source Foundation&lt;/strong&gt;: ROCm's open-source nature enables community contributions&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Standard API Support&lt;/strong&gt;: OpenCL 2.1 and HIP provide industry-standard interfaces&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Linux Integration&lt;/strong&gt;: Strong kernel-level support through AMDGPU drivers&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Professional Tools&lt;/strong&gt;: rocm-smi and related utilities provide comprehensive monitoring&lt;/li&gt;
&lt;/ol&gt;
&lt;h5&gt;Weaknesses&lt;/h5&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Fragmented Architecture Support&lt;/strong&gt;: New architectures like gfx1151 lag behind in software support&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Limited Documentation&lt;/strong&gt;: Less comprehensive than CUDA documentation&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Smaller Developer Community&lt;/strong&gt;: Fewer third-party tools and optimizations&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compatibility Matrix Complexity&lt;/strong&gt;: Different software versions support different GPU architectures&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;Long-term Viability Concerns&lt;/h4&gt;
&lt;p&gt;The gfx1151 compatibility issues highlight broader ecosystem challenges:&lt;/p&gt;
&lt;h5&gt;Release Coordination Problems&lt;/h5&gt;
&lt;ul&gt;
&lt;li&gt;Hardware releases outpace software ecosystem updates&lt;/li&gt;
&lt;li&gt;Critical libraries (rocBLAS, Tensile) require architecture-specific optimization&lt;/li&gt;
&lt;li&gt;Coordination between AMD hardware and software teams appears insufficient&lt;/li&gt;
&lt;/ul&gt;
&lt;h5&gt;Market Adoption Barriers&lt;/h5&gt;
&lt;ul&gt;
&lt;li&gt;Developers hesitant to adopt platform with uncertain software support&lt;/li&gt;
&lt;li&gt;Enterprise customers require guaranteed compatibility&lt;/li&gt;
&lt;li&gt;Academic researchers need stable, well-documented platforms&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Recommendations for AMD&lt;/h4&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Accelerated Software Development&lt;/strong&gt;: Prioritize gfx1151 support in rocBLAS and related libraries&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Pre-release Testing&lt;/strong&gt;: Ensure software ecosystem readiness before hardware launches&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Better Documentation&lt;/strong&gt;: Comprehensive compatibility matrices and migration guides&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Community Engagement&lt;/strong&gt;: More responsive developer relations and support channels&lt;/li&gt;
&lt;/ol&gt;
&lt;h3&gt;Network Infrastructure and Connectivity&lt;/h3&gt;
&lt;p&gt;The system demonstrates excellent network performance characteristics suitable for modern computing workloads:&lt;/p&gt;
&lt;h4&gt;Internal Performance&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Memory-to-Network Efficiency&lt;/strong&gt;: 122 Gbps loopback performance indicates minimal bottlenecks&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;System Integration&lt;/strong&gt;: Unified memory architecture benefits network-intensive applications&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Scalability&lt;/strong&gt;: Architecture suitable for distributed computing scenarios&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;External Connectivity Assessment&lt;/h4&gt;
&lt;p&gt;While specific external network testing wasn't performed, the system's infrastructure suggests:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Support for high-speed Ethernet (2.5GbE+)&lt;/li&gt;
&lt;li&gt;Low-latency interconnects suitable for cluster computing&lt;/li&gt;
&lt;li&gt;Adequate bandwidth for data center deployment scenarios&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Power Efficiency and Thermal Characteristics&lt;/h3&gt;
&lt;p&gt;Limited thermal data was available during testing:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Idle Temperature&lt;/strong&gt;: 29°C (GPU sensor)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Idle Power&lt;/strong&gt;: 8.059W (GPU subsystem)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Thermal Management&lt;/strong&gt;: Appears well-controlled under light loads&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The unified architecture's power efficiency represents a significant advantage over discrete GPU solutions, particularly for mobile and edge computing applications.&lt;/p&gt;
&lt;h3&gt;Competitive Analysis&lt;/h3&gt;
&lt;h4&gt;Comparison with Intel Arc&lt;/h4&gt;
&lt;p&gt;Intel's Arc GPUs face similar software ecosystem challenges, though Intel has made more aggressive investments in AI software stack development. The Arc series benefits from Intel's deeper software engineering resources but still lags behind NVIDIA in AI framework support.&lt;/p&gt;
&lt;h4&gt;Comparison with NVIDIA&lt;/h4&gt;
&lt;p&gt;NVIDIA maintains a substantial advantage in:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Software Maturity&lt;/strong&gt;: CUDA ecosystem is mature and well-supported&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;AI Framework Integration&lt;/strong&gt;: Native support across all major frameworks&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Developer Tools&lt;/strong&gt;: Comprehensive profiling and debugging tools&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Documentation&lt;/strong&gt;: Extensive, well-maintained documentation&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;AMD's advantages include:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Open Source Approach&lt;/strong&gt;: More flexible licensing and community development&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Unified Memory&lt;/strong&gt;: Simplified programming model for certain applications&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Cost&lt;/strong&gt;: Potentially more cost-effective solutions&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Market Positioning&lt;/h4&gt;
&lt;p&gt;The AMD AI Max+ 395 occupies a unique position as a high-performance integrated solution, but software limitations significantly impact its competitiveness in AI-focused markets.&lt;/p&gt;
&lt;h3&gt;Use Case Suitability Analysis&lt;/h3&gt;
&lt;h4&gt;Recommended Use Cases&lt;/h4&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;General Computing&lt;/strong&gt;: Excellent performance for traditional computational workloads&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Development Platforms&lt;/strong&gt;: Strong for general software development (non-AI)&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Edge Computing&lt;/strong&gt;: Unified architecture benefits power-constrained deployments&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Future AI Workloads&lt;/strong&gt;: When software ecosystem matures&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;Not Recommended For&lt;/h4&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Current AI Development&lt;/strong&gt;: gfx1151 compatibility issues are blocking&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Production AI Inference&lt;/strong&gt;: Unreliable software support&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Machine Learning Research&lt;/strong&gt;: Limited framework compatibility&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Time-Critical Projects&lt;/strong&gt;: Uncertain timeline for software fixes&lt;/li&gt;
&lt;/ol&gt;
&lt;h3&gt;Large Language Model Performance and Stability&lt;/h3&gt;
&lt;h4&gt;Ollama LLM Inference Testing&lt;/h4&gt;
&lt;p&gt;Testing with Ollama reveals a mixed picture for LLM inference on the AMD AI Max+ 395 system. The platform successfully runs various models through CPU-based inference, though GPU acceleration faces significant challenges.&lt;/p&gt;
&lt;h5&gt;Performance Metrics&lt;/h5&gt;
&lt;p&gt;Testing with various model sizes revealed the following performance characteristics:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;GPT-OSS 20B Model Performance:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Prompt evaluation rate: 61.29 tokens/second&lt;/li&gt;
&lt;li&gt;Text generation rate: 8.99 tokens/second&lt;/li&gt;
&lt;li&gt;Total inference time: ~13 seconds for 117 tokens&lt;/li&gt;
&lt;li&gt;Memory utilization: ~54 GB VRAM usage&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Llama 4 (67B) Model:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Successfully loads and runs&lt;/li&gt;
&lt;li&gt;Generation coherent and accurate&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The system demonstrates adequate performance for smaller models (20B parameters and below) when running through Ollama, though performance significantly lags behind NVIDIA GPUs with proper CUDA acceleration. The large unified memory configuration (96 GB VRAM, deliberately maximized for this testing) allows loading of substantial models that would typically require multiple GPUs or extensive system RAM on other platforms. This conscious decision to allocate maximum memory to the GPU was specifically made to evaluate the system's potential for large language model workloads.&lt;/p&gt;
&lt;h4&gt;Critical Stability Issues with Large Models&lt;/h4&gt;
&lt;h5&gt;Driver Crashes with Advanced AI Workloads&lt;/h5&gt;
&lt;p&gt;Testing revealed severe stability issues when attempting to run larger models or when using AI-accelerated development tools:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Affected Scenarios:&lt;/strong&gt;&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Large Model Loading&lt;/strong&gt;: GPT-OSS 120B model causes immediate amdgpu driver crashes&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;AI Development Tools&lt;/strong&gt;: Continue.dev with certain LLMs triggers GPU reset&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;OpenAI Codex Integration&lt;/strong&gt;: Consistent driver failures with models exceeding 70B parameters&lt;/li&gt;
&lt;/ol&gt;
&lt;h5&gt;GPU Reset Events&lt;/h5&gt;
&lt;p&gt;System logs reveal frequent GPU reset events during AI workload attempts:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt; 1030.960155&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;amdgpu&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;0000&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="nl"&gt;c5&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mf"&gt;00.0&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nl"&gt;amdgpu&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;reset&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;begin&lt;/span&gt;&lt;span class="err"&gt;!&lt;/span&gt;
&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt; 1033.972213&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;amdgpu&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;0000&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="nl"&gt;c5&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mf"&gt;00.0&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nl"&gt;amdgpu&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;MODE2&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;reset&lt;/span&gt;
&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt; 1034.002615&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;amdgpu&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;0000&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="nl"&gt;c5&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mf"&gt;00.0&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nl"&gt;amdgpu&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;reset&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;succeeded&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;trying&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;to&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;resume&lt;/span&gt;
&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt; 1034.003141&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt;drm&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;VRAM&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;is&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;lost&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;due&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;to&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;reset&lt;/span&gt;&lt;span class="err"&gt;!&lt;/span&gt;
&lt;span class="o"&gt;[&lt;/span&gt;&lt;span class="n"&gt; 1034.037824&lt;/span&gt;&lt;span class="o"&gt;]&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;amdgpu&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;0000&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="nl"&gt;c5&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mf"&gt;00.0&lt;/span&gt;&lt;span class="err"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nl"&gt;amdgpu&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GPU&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;reset&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;succeeded&lt;/span&gt;&lt;span class="err"&gt;!&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;These crashes result in:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Complete loss of VRAM contents&lt;/li&gt;
&lt;li&gt;Application termination&lt;/li&gt;
&lt;li&gt;Potential system instability requiring reboot&lt;/li&gt;
&lt;li&gt;Interrupted workflows and data loss&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Root Cause Analysis&lt;/h4&gt;
&lt;p&gt;The driver instability appears to stem from the same underlying issue as the PyTorch/ROCm incompatibility: &lt;strong&gt;immature driver support for the gfx1151 architecture&lt;/strong&gt;. The drivers struggle with:&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;&lt;strong&gt;Memory Management&lt;/strong&gt;: Large model allocations exceed driver's tested parameters&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Compute Dispatch&lt;/strong&gt;: Complex kernel launches trigger unhandled edge cases&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Power State Transitions&lt;/strong&gt;: Rapid load changes cause driver state machine failures&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Synchronization Issues&lt;/strong&gt;: Multi-threaded inference workloads expose race conditions&lt;/li&gt;
&lt;/ol&gt;
&lt;h4&gt;Implications for AI Development&lt;/h4&gt;
&lt;p&gt;The combination of LLM testing results and driver stability issues reinforces that the AMD AI Max+ 395 system, despite impressive hardware specifications, remains unsuitable for production AI workloads. The platform shows promise for future AI applications once driver maturity improves, but current limitations include:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Unreliable Large Model Support&lt;/strong&gt;: Models over 70B parameters risk system crashes&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Limited Tool Compatibility&lt;/strong&gt;: Popular AI development tools cause instability&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Workflow Interruptions&lt;/strong&gt;: Frequent crashes disrupt development productivity&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Data Loss Risk&lt;/strong&gt;: VRAM resets can lose unsaved work or model states&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Future Outlook and Development Roadmap&lt;/h3&gt;
&lt;h4&gt;Short-term Expectations (3-6 months)&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;ROCm updates likely to address gfx1151 compatibility&lt;/li&gt;
&lt;li&gt;PyTorch/TensorFlow support should improve&lt;/li&gt;
&lt;li&gt;Community-driven workarounds may emerge&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Medium-term Prospects (6-18 months)&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;Full AI framework support expected&lt;/li&gt;
&lt;li&gt;Optimization improvements for Strix Halo architecture&lt;/li&gt;
&lt;li&gt;Better documentation and developer resources&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Long-term Considerations (18+ months)&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;AMD's commitment to open-source ecosystem should pay dividends&lt;/li&gt;
&lt;li&gt;Potential for superior price/performance ratios&lt;/li&gt;
&lt;li&gt;Growing developer community around ROCm platform&lt;/li&gt;
&lt;/ul&gt;
&lt;h3&gt;Conclusions and Recommendations&lt;/h3&gt;
&lt;p&gt;The AMD AI Max+ 395 system represents impressive hardware engineering with its unified memory architecture, strong CPU performance, and substantial GPU compute capabilities. However, critical software ecosystem gaps, particularly the gfx1151 compatibility issues with PyTorch and ROCm, severely limit its immediate utility for AI and machine learning workloads.&lt;/p&gt;
&lt;h4&gt;Key Findings Summary&lt;/h4&gt;
&lt;p&gt;&lt;strong&gt;Hardware Strengths:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Excellent CPU performance with 16 Zen 5 cores&lt;/li&gt;
&lt;li&gt;Innovative unified memory architecture with 96 GB addressable&lt;/li&gt;
&lt;li&gt;Strong integrated GPU with 40 compute units&lt;/li&gt;
&lt;li&gt;Efficient power management and thermal characteristics&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Software Limitations:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Critical gfx1151 architecture support gaps in ROCm ecosystem&lt;/li&gt;
&lt;li&gt;PyTorch integration completely broken for GPU acceleration&lt;/li&gt;
&lt;li&gt;Limited AI framework compatibility across the board&lt;/li&gt;
&lt;li&gt;Insufficient documentation for troubleshooting&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;Market Position:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Competitive hardware specifications&lt;/li&gt;
&lt;li&gt;Unique integrated architecture advantages&lt;/li&gt;
&lt;li&gt;Significant software ecosystem disadvantages versus NVIDIA&lt;/li&gt;
&lt;li&gt;Uncertain timeline for compatibility improvements&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Purchasing Recommendations&lt;/h4&gt;
&lt;p&gt;&lt;strong&gt;Buy If:&lt;/strong&gt;
- Primary use case is general computing or traditional HPC workloads
- Willing to wait 6-12 months for AI software ecosystem maturity
- Value open-source software development approach
- Need power-efficient integrated solution&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;Avoid If:&lt;/strong&gt;&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Immediate AI/ML development requirements&lt;/li&gt;
&lt;li&gt;Production AI inference deployments planned&lt;/li&gt;
&lt;li&gt;Time-critical project timelines&lt;/li&gt;
&lt;li&gt;Require guaranteed software support&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Final Verdict&lt;/h4&gt;
&lt;p&gt;The AMD AI Max+ 395 system shows tremendous promise as a unified computing platform, but premature software ecosystem development makes it unsuitable for current AI workloads. Organizations should monitor ROCm development progress closely, as this hardware could become highly competitive once software support matures. For general computing applications, the system offers excellent performance and value, representing AMD's continued progress in processor design and integration.&lt;/p&gt;
&lt;p&gt;The AMD AI Max+ 395 represents a glimpse into the future of integrated computing platforms, but early adopters should be prepared for software ecosystem growing pains. As AMD continues investing in ROCm development and the open-source community contributes solutions, this platform has the potential to become a compelling alternative to NVIDIA's ecosystem dominance.&lt;/p&gt;</description><category>ai hardware</category><category>amd</category><category>benchmarks</category><category>gfx1151</category><category>gpu computing</category><category>machine learning</category><category>pytorch</category><category>rocm</category><category>ryzen ai</category><category>strix halo</category><guid>https://tinycomputers.io/posts/amd-ai-max%2B-395-system-review-a-comprehensive-analysis.html</guid><pubDate>Sun, 21 Sep 2025 20:25:28 GMT</pubDate></item><item><title>Accelerating Large-Scale Ballistic Simulations with torchdiffeq and PyTorch</title><link>https://tinycomputers.io/posts/accelerating-large-scale-ballistic-simulations-with-torchdiffeq-and-pytorch.html?utm_source=feed&amp;utm_medium=rss&amp;utm_campaign=rss</link><dc:creator>A.C. Jokela</dc:creator><description>&lt;div class="audio-widget"&gt;
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&lt;h3&gt;Introduction&lt;/h3&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/odeint-solve_ivp-overlap.png" style="width: 640px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: left; padding: 20px 20px 20px 20px;"&gt;
Simulating the motion of projectiles is a classic problem in physics and engineering, with applications ranging from ballistics and aerospace to sports analytics and educational demonstrations. However, in modern computational workflows, it's rarely enough to simulate a single trajectory. Whether for Monte Carlo analysis to estimate uncertainties, parameter sweeps to optimize launch conditions, or robustness checks under variable drag and mass, practitioners often need to compute thousands or even tens of thousands of trajectories, each with distinct initial conditions and parameters.&lt;/p&gt;
&lt;p&gt;Solving &lt;a href="https://baud.rs/44fzod"&gt;ordinary differential equations&lt;/a&gt; (ODEs) governing these trajectories becomes a computational bottleneck in such “large batch” scenarios. Traditional scientific &lt;a href="https://baud.rs/Nx6Ke6"&gt;Python tools&lt;/a&gt; like &lt;a href="https://baud.rs/dswIuo"&gt;&lt;code&gt;scipy.integrate.solve_ivp&lt;/code&gt;&lt;/a&gt; are excellent for solving ODEs in serial, one scenario at a time, making them ideal for interactive exploration or detailed studies of individual systems. However, when the number of parameter sets grows, the time required to loop over each one can quickly become prohibitive, especially when running on standard CPUs.&lt;/p&gt;
&lt;p&gt;Recent advances in scientific machine learning and GPU computing have opened new possibilities for accelerating these kinds of simulations. The &lt;a href="https://baud.rs/x8egoq"&gt;&lt;code&gt;torchdiffeq&lt;/code&gt;&lt;/a&gt; library extends &lt;a href="https://baud.rs/ZT2Bo3"&gt;PyTorch’s&lt;/a&gt; ecosystem with differentiable ODE solvers, supporting batch-mode integration and seamless hardware acceleration via &lt;a href="https://baud.rs/x3h146"&gt;CUDA&lt;/a&gt; GPUs. By leveraging vectorized operations and batched computation, &lt;code&gt;torchdiffeq&lt;/code&gt; makes it possible to simulate thousands of parameterized systems orders of magnitude faster than traditional approaches.&lt;/p&gt;
&lt;p&gt;This article empirically compares &lt;code&gt;scipy.solve_ivp&lt;/code&gt; and &lt;code&gt;torchdiffeq&lt;/code&gt; on a realistic, parameterized ballistic projectile problem. We'll see how modern, batch-oriented tools unlock dramatic speedups, making large-scale simulation, optimization, and uncertainty quantification far more practical and scalable.&lt;/p&gt;
&lt;h3&gt;The Ballistics Problem: ODEs and Parameters&lt;/h3&gt;
&lt;p&gt;At the heart of projectile motion lies a classic set of equations: the &lt;a href="https://baud.rs/0Ifm4e"&gt;Newtonian laws of motion&lt;/a&gt; under the influence of gravity. In real-world scenarios (be it sports, military science, or atmospheric research), it's crucial to account not just for gravity but also for aerodynamic drag, which resists motion and varies with both the speed and shape of the object. For fast-moving projectiles like baseballs, artillery shells, or drones, drag is well-approximated as quadratic in velocity.&lt;/p&gt;
&lt;p&gt;The trajectory of a projectile under both gravity and quadratic drag is described by the following system of ODEs:&lt;/p&gt;
&lt;p&gt;$ \frac{d\mathbf{r}}{dt} = \mathbf{v} $&lt;/p&gt;
&lt;p&gt;$ \frac{d\mathbf{v}}{dt} = -g \hat{z} - \frac{k}{m} |\mathbf{v}| \mathbf{v} $&lt;/p&gt;
&lt;p&gt;Here, $\mathbf{r}$ is the position vector, $\mathbf{v}$ is the velocity vector, $g$ is the gravitational acceleration (9.81 m/s², directed downward), $m$ is the projectile's mass, and $k$ is the drag coefficient, a parameter incorporating air density, projectile shape, and cross-sectional area. The term $-\frac{k}{m} |\mathbf{v}| \mathbf{v}$ captures the quadratic (speed-squared) air resistance opposing motion.&lt;/p&gt;
&lt;p&gt;This model supports a range of relevant parameters:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Initial speed ($v_0$)&lt;/strong&gt;: How fast the projectile is launched.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Launch angle ($\theta$)&lt;/strong&gt;: The elevation above the horizontal.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Azimuth ($\phi$)&lt;/strong&gt;: The compass direction of the launch in the x-y plane.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Drag coefficient ($k$)&lt;/strong&gt;: Varies by projectile type and environment (e.g., bullets, baseballs, or debris).&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Mass ($m$)&lt;/strong&gt;: Generally constant for a given projectile, but can vary in sensitivity analyses.&lt;/p&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;By randomly sampling these parameters, we can simulate broad families of real-world projectile trajectories, quantifying variations due to weather, launch conditions, or design tolerances. This approach is vital in engineering (for safety margins and optimization), defense (for targeting uncertainty), and physics education (visualizing parameter effects). With these governing principles defined, we’re equipped to systematically simulate and analyze thousands of projectile scenarios.&lt;/p&gt;
&lt;h3&gt;Vectorized Batch Simulation: Why It Matters&lt;/h3&gt;
&lt;p&gt;In classical physics instruction or simple engineering analyses, simulating a single projectile (perhaps varying its launch angle or speed by hand) was once sufficient to gain insight into trajectory behavior. But the demands of modern computational science and industry go far beyond this. Today, engineers, data scientists, and researchers routinely confront tasks like uncertainty quantification, statistical analysis, design optimization, or machine learning, all of which require running the same model across thousands or even millions of parameter combinations. For projectile motion, that might mean sampling hundreds of drag coefficients, launch angles, and initial velocities to estimate failure probabilities, optimize for maximum range under real-world disturbances, or quantify the uncertainty in a targeting system.&lt;/p&gt;
&lt;p&gt;Attempting to tackle these large-scale parameter sweeps with traditional serial Python code quickly exposes severe performance limitations. Standard Python scripts iterate through scenarios using simple loops, solving the ODE for one set of inputs, then moving to the next. While such code is easy to write and understand, it suffers from significant overhead: each call to an ODE solver like &lt;code&gt;scipy.solve_ivp&lt;/code&gt; carries the cost of repeatedly allocating memory, reinterpreting Python functions, and performing calculations on a single set of parameters without leveraging efficiencies of scale.&lt;/p&gt;
&lt;p&gt;Moreover, CPUs themselves have limited capacity for parallel execution. Although some scientific computing libraries exploit multicore CPUs for modest speedups, true high-throughput workloads outstrip what a desktop processor can provide. This is where vectorization and hardware acceleration revolutionize scientific computing. By formulating simulations so that many parameter sets are processed in tandem, vectorized code can amortize memory access and computation over entire batches.&lt;/p&gt;
&lt;p&gt;This paradigm is taken even further with the introduction of modern hardware accelerators, particularly Graphics Processing Units (GPUs). GPUs are designed for massive parallel processing, capable of performing thousands of operations simultaneously. Frameworks like PyTorch make it straightforward to move simulation data to the GPU and exploit this parallelism using batch operations and tensor arithmetic. Libraries such as &lt;code&gt;torchdiffeq&lt;/code&gt;, built on PyTorch, allow entire ensembles of ODE initial conditions and parameters to be integrated at once, often achieving one or even two orders of magnitude speedup over standard serial approaches.&lt;/p&gt;
&lt;p&gt;By harnessing vectorized and accelerated computation, we shift from thinking about trajectories one at a time to simulating entire probability distributions of outcomes, enabling robust analysis and real-time feedback that serial methods simply cannot deliver.&lt;/p&gt;
&lt;h3&gt;Setting Up the Experiment&lt;/h3&gt;
&lt;p&gt;To rigorously compare batch ODE solvers in a realistic context, we construct an experiment that simulates a large family of projectiles, each with unique initial conditions and drag parameters. Here, we demonstrate how to generate the complete dataset for such an experiment, scaling easily to $N=10,000$ scenarios or more.&lt;/p&gt;
&lt;p&gt;First, we select which parameters to randomize:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Initial speed ($v_0$)&lt;/strong&gt;: uniformly sampled between 100 and 140 m/s.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Launch angle ($\theta$)&lt;/strong&gt;: uniformly distributed between 20° and 70° (converted to radians).&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Azimuth ($\phi$)&lt;/strong&gt;: uniformly distributed from 0 to $2\pi$, representing all compass directions.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Drag coefficient ($k$)&lt;/strong&gt;: uniformly sampled between 0.03 and 0.07; these bounds reflect different projectile shapes or environmental conditions.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;Mass ($m$)&lt;/strong&gt;: held constant at 1.0 kg for simplicity.&lt;/p&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;The initial position for each projectile is set at $(x, y, z) = (0, 0, 1)$, representing launches from a height of 1 meter above ground.&lt;/p&gt;
&lt;p&gt;Here is the core code to generate these parameters and construct the state vectors:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;N&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;10000&lt;/span&gt;  &lt;span class="c1"&gt;# Number of projectiles&lt;/span&gt;
&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;seed&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;42&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;r0&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;r0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;  &lt;span class="c1"&gt;# start at z=1m&lt;/span&gt;

&lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;140&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;angles&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;radians&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;radians&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;70&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;azimuths&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;pi&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mf"&gt;0.03&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;0.07&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;1.0&lt;/span&gt;
&lt;span class="n"&gt;g&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;9.81&lt;/span&gt;

&lt;span class="c1"&gt;# Compute velocity components from speed, angle, and azimuth&lt;/span&gt;
&lt;span class="n"&gt;v0&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angles&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;azimuths&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angles&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sin&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;azimuths&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sin&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angles&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Combine into state vector: [x, y, z, vx, vy, vz]&lt;/span&gt;
&lt;span class="n"&gt;y0&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;hstack&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;r0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;With this setup, each row of &lt;code&gt;y0&lt;/code&gt; fully defines the position and velocity of one simulated projectile, and associated arrays (&lt;code&gt;k&lt;/code&gt;, &lt;code&gt;m&lt;/code&gt;, etc.) capture the unique drag and physical parameters. This approach ensures our batch simulations cover a broad, realistic spread of possible projectile behaviors.&lt;/p&gt;
&lt;h3&gt;Serial Approach: scipy.solve_ivp&lt;/h3&gt;
&lt;p&gt;The &lt;code&gt;scipy.integrate.solve_ivp&lt;/code&gt; function is a standard tool in scientific Python for numerically solving initial value problems for ordinary differential equations (ODEs). Designed for flexibility and usability, it allows users to specify the right-hand side function, initial conditions, time span, and integration tolerances. It's ideal for scenarios where you need to inspect or visualize a single trajectory in detail, perform stepwise integration, or analyze systems with events (such as ground impact in our ballistics context).&lt;/p&gt;
&lt;p&gt;However, &lt;code&gt;solve_ivp&lt;/code&gt; is fundamentally serial in nature: each call integrates one ODE system, with one set of inputs and parameters. To simulate a batch of projectiles with varying initial conditions and drag parameters, a typical approach is to loop over all $N$ cases, calling &lt;code&gt;solve_ivp&lt;/code&gt; anew each time. This approach is straightforward, but comes with key drawbacks: overhead from repeated Python function calls, redundant setup within each call, and no built-in way to leverage vectorization or parallel computation on CPUs or GPUs.&lt;/p&gt;
&lt;p&gt;Here’s how the serial batch simulation is performed for our random projectiles:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;scipy.integrate&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;solve_ivp&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;ballistic_ivp_factory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ki&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;vel&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;:]&lt;/span&gt;
        &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;linalg&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;norm&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros_like&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;g&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ki&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;vel&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;fn&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;hit_ground_event&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;hit_ground_event&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;terminal&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;
&lt;span class="n"&gt;hit_ground_event&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;direction&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;

&lt;span class="n"&gt;t_eval&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;linspace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;400&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;trajectories&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;sol&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;solve_ivp&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
        &lt;span class="n"&gt;ballistic_ivp_factory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;y0&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
        &lt;span class="n"&gt;t_eval&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;t_eval&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rtol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;atol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-7&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;events&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;hit_ground_event&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;trajectories&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sol&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;To extract and plot the $i$-th projectile’s trajectory (for example, $x$ vs. $z$):&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;trajectories&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;z&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;trajectories&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;img src="https://tinycomputers.io/images/solve_ivp-trajectories.png" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: left; padding: 20px 20px 20px 20px;"&gt;&lt;/p&gt;
&lt;p&gt;While this method is robust and works for small $N$, it scales poorly for large batches. Each ODE integration runs one after the other, keeping all computation on the CPU, and does not exploit the potential speedup from modern hardware or batch processing. For workflows involving thousands of projectiles, these limitations quickly become significant.&lt;/p&gt;
&lt;h3&gt;Batched &amp;amp; Accelerated: torchdiffeq and PyTorch&lt;/h3&gt;
&lt;p&gt;Recent advances in machine learning frameworks have revolutionized scientific computing, and PyTorch is at the forefront. While best known for deep learning, PyTorch offers powerful tools for general numerical tasks, including automatic differentiation, GPU acceleration, and, critically for large-scale simulations, native support for batched and vectorized computation. Building on this, the &lt;code&gt;torchdiffeq&lt;/code&gt; library brings state-of-the-art ODE solvers to the PyTorch ecosystem. This unlocks not only scalable and differentiable simulations, but also unprecedented throughput for large parameter sweeps thanks to efficient batching.&lt;/p&gt;
&lt;p&gt;Unlike &lt;code&gt;scipy.solve_ivp&lt;/code&gt;, which solves one ODE system per call, &lt;code&gt;torchdiffeq.odeint&lt;/code&gt; can handle entire batches simultaneously. If you stack $N$ initial conditions into a tensor of shape $(N, D)$ (with $D$ being the state dimension, e.g., position and velocity components), and you write your ODE’s right-hand-side function to process these $N$ states in parallel, &lt;code&gt;odeint&lt;/code&gt; will integrate all of them in one go. This batched approach is highly efficient, especially when offloading the computation to a CUDA-enabled GPU, which can process thousands of simple ODE systems at once.&lt;/p&gt;
&lt;p&gt;A custom ODE function in PyTorch for batched ballistics looks like this:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torchdiffeq&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;odeint&lt;/span&gt;

&lt;span class="n"&gt;device&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'cuda'&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="s1"&gt;'cpu'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;BallisticsODEBatch&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tensor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;view&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;g&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;forward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;vel&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;:]&lt;/span&gt;
        &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;norm&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;keepdim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros_like&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;g&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;vel&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cat&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;After preparing the initial states (&lt;code&gt;y0_torch&lt;/code&gt;, shape $(N, 6)$), you launch the batch integration with:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="n"&gt;odefunc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;BallisticsODEBatch&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;y0_torch&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tensor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;float32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;t_torch&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;linspace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;400&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;sol_batch&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;odeint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;odefunc&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y0_torch&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t_torch&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rtol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;atol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-7&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# (T, N, 6)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;By processing every $N$ parameter set in a single tensor operation, batching reduces memory and Python overhead substantially compared to looping with &lt;code&gt;solve_ivp&lt;/code&gt;. When running on a GPU, these speedups are often dramatic (sometimes orders of magnitude) due to massive parallelism and reduced per-call Python latency. For researchers and engineers running uncertainty analyses or global optimizations, batched ODE integration with &lt;code&gt;torchdiffeq&lt;/code&gt; makes large-scale simulation not only practical, but fast.&lt;/p&gt;
&lt;h3&gt;Cropping and Plotting Trajectories&lt;/h3&gt;
&lt;p&gt;When visualizing or comparing projectile trajectories, it's important to stop each curve exactly when the projectile reaches ground level ($z = 0$). Without this cropping, some trajectories would artificially continue below ground due to numerical integration, making visualizations misleading and length-biased. To ensure all plots fairly represent real-world impact, we truncate each trajectory at its ground crossing, interpolating between the last above-ground and first below-ground points to find the precise impact location.&lt;/p&gt;
&lt;p&gt;The following function performs this interpolation:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;crop_trajectory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;where&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;z&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;z&lt;/span&gt;
    &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="n"&gt;frac&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="n"&gt;x_crop&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;frac&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x_crop&lt;/span&gt;&lt;span class="p"&gt;]]),&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;z&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mf"&gt;0.0&lt;/span&gt;&lt;span class="p"&gt;]])&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Using this, we can generate “spaghetti plots” for both solvers, showcasing dozens or hundreds of realistic, ground-terminated trajectories for direct comparison.&lt;br&gt;
Example:&lt;/p&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;x_t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;z_t&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;crop_trajectory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;sol_batch_np&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;sol_batch_np&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;t_np&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x_t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;z_t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;color&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'tab:blue'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;alpha&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;img src="https://tinycomputers.io/images/torchdiffeq-spaghetti.png" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: left; padding: 20px 20px 20px 20px;"&gt;&lt;/p&gt;
&lt;h3&gt;Performance Benchmarking: Timing the Solvers&lt;/h3&gt;
&lt;p&gt;To quantitatively compare the efficiency of &lt;code&gt;scipy.solve_ivp&lt;/code&gt; against the batched, accelerator-aware &lt;code&gt;torchdiffeq&lt;/code&gt;, we systematically measured simulation runtimes across a range of batch sizes ($N$): 100, 1,000, 5,000, and 10,000. We timed both solvers under identical conditions, measuring total wall-clock time and deriving the average simulation throughput (trajectories per second).&lt;/p&gt;
&lt;p&gt;All experiments were run on a workstation equipped with an Intel i7 CPU and &lt;a href="https://baud.rs/GTMdkM"&gt;NVIDIA Pascal GPUs&lt;/a&gt;), with PyTorch configured for CUDA acceleration. The same ODE system and tolerance settings ($\text{rtol}=1\text{e-5}$, $\text{atol}=1\text{e-7}$) were used for both solvers.&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;
&lt;p&gt;The script below shows the core timing procedure:&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;numpy&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torch&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;torchdiffeq&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;odeint&lt;/span&gt;
&lt;span class="kn"&gt;from&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;scipy.integrate&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="n"&gt;solve_ivp&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;time&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;matplotlib.pyplot&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;as&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nn"&gt;plt&lt;/span&gt;

&lt;span class="c1"&gt;# For reproducibility&lt;/span&gt;
&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;seed&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;42&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# Physics constants&lt;/span&gt;
&lt;span class="n"&gt;g&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;9.81&lt;/span&gt;
&lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;1.0&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;generate_initial_conditions&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;r0&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
    &lt;span class="n"&gt;r0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;  &lt;span class="c1"&gt;# z=1m&lt;/span&gt;
    &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;140&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;angles&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;radians&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;radians&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;70&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;azimuths&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;pi&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;v0&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
    &lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angles&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;azimuths&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cos&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angles&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sin&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;azimuths&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sin&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;angles&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;uniform&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mf"&gt;0.03&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mf"&gt;0.07&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;y0&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;hstack&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;r0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;v0&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;y0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;ballistic_ivp_factory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ki&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;fn&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;vel&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;:]&lt;/span&gt;
        &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;linalg&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;norm&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros_like&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;g&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ki&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;vel&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;concatenate&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;fn&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;hit_ground_event&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;hit_ground_event&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;terminal&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;
&lt;span class="n"&gt;hit_ground_event&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;direction&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nc"&gt;BallisticsODEBatch&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;nn&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Module&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;super&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tensor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;view&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;g&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nf"&gt;forward&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;vel&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;:]&lt;/span&gt;
        &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;norm&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;keepdim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;zeros_like&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;[:,&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;g&lt;/span&gt;
        &lt;span class="n"&gt;acc&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;speed&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;vel&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cat&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;vel&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;acc&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;dim&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;device&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'cuda'&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;is_available&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="s1"&gt;'cpu'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"PyTorch device: &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;N_list&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5000&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10000&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="n"&gt;t_points&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;400&lt;/span&gt;
&lt;span class="n"&gt;t_eval&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;linspace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t_points&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;t_torch&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;linspace&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t_points&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="n"&gt;timings&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'solve_ivp'&lt;/span&gt;&lt;span class="p"&gt;:[],&lt;/span&gt; &lt;span class="s1"&gt;'torchdiffeq'&lt;/span&gt;&lt;span class="p"&gt;:[]}&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;N&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;N_list&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="se"&gt;\n&lt;/span&gt;&lt;span class="s2"&gt;=== Benchmarking N = &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt; ==="&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;y0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;generate_initial_conditions&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# --- torchdiffeq batched solution&lt;/span&gt;
    &lt;span class="n"&gt;odefunc&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;BallisticsODEBatch&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;y0_torch&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tensor&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dtype&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;float32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;t_torch_dev&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;t_torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;synchronize&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;type&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s2"&gt;"cuda"&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
    &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;sol&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;odeint&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;odefunc&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;y0_torch&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;t_torch_dev&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rtol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;atol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-7&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  &lt;span class="c1"&gt;# shape (T,N,6)&lt;/span&gt;
    &lt;span class="n"&gt;torch&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;cuda&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;synchronize&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;type&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s2"&gt;"cuda"&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;
    &lt;span class="n"&gt;time_torch&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"torchdiffeq (batch): &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;time_torch&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;s"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;timings&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'torchdiffeq'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;time_torch&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="c1"&gt;# --- solve_ivp serial solution&lt;/span&gt;
    &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;solve_ivp&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;
            &lt;span class="n"&gt;ballistic_ivp_factory&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]),&lt;/span&gt;
            &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;15&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
            &lt;span class="n"&gt;y0&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;
            &lt;span class="n"&gt;t_eval&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;t_eval&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;rtol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;atol&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;1e-7&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
            &lt;span class="n"&gt;events&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;hit_ground_event&lt;/span&gt;
        &lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;time_ivp&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;time&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;perf_counter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"solve_ivp (serial):  &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;time_ivp&lt;/span&gt;&lt;span class="si"&gt;:&lt;/span&gt;&lt;span class="s2"&gt;.2f&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;s"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;timings&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'solve_ivp'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;time_ivp&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="c1"&gt;# ---- Plot results&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;figure&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;figsize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N_list&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;timings&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'solve_ivp'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;label&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'solve_ivp (serial, CPU)'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;marker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'o'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N_list&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;timings&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'torchdiffeq'&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;label&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s1"&gt;'torchdiffeq (batch, &lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="n"&gt;device&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;type&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s1"&gt;)'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;marker&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'s'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;yscale&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'log'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xscale&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'log'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Batch Size N'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Total Simulation Time (seconds, log scale)'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'ODE Solver Performance: solve_ivp vs torchdiffeq'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;which&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'both'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ls&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'--'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;legend&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;tight_layout&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;

&lt;h4&gt;Benchmark Results&lt;/h4&gt;
&lt;div class="code"&gt;&lt;pre class="code literal-block"&gt;PyTorch device: cuda

=== Benchmarking N = 100 ===
torchdiffeq (batch): 0.35s
solve_ivp (serial):  0.60s

=== Benchmarking N = 1000 ===
torchdiffeq (batch): 0.29s
solve_ivp (serial):  5.84s

=== Benchmarking N = 5000 ===
torchdiffeq (batch): 0.31s
solve_ivp (serial):  29.84s

=== Benchmarking N = 10000 ===
torchdiffeq (batch): 0.31s
solve_ivp (serial):  59.74s
&lt;/pre&gt;&lt;/div&gt;

&lt;div style="clear: both;"&gt;&lt;/div&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/solve_ivp-vs-torchdiffeq.png" style="width: 480px; box-shadow: 0 30px 40px rgba(0,0,0,.1); float: left; padding: 20px 20px 20px 20px;"&gt;&lt;/p&gt;
&lt;p&gt;As shown in the table and the bar chart below, &lt;code&gt;torchdiffeq&lt;/code&gt; achieves orders of magnitude speedup, especially when run on GPU. While &lt;code&gt;solve_ivp&lt;/code&gt;'s wall time scales linearly with batch size, &lt;code&gt;torchdiffeq&lt;/code&gt;’s increase is much more gradual due to highly efficient batch parallelism on both CPU and GPU.&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;h4&gt;Visualization&lt;/h4&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;
&lt;p&gt;&lt;img src="https://tinycomputers.io/images/both-solvers.png" style="box-shadow: 0 30px 40px rgba(0,0,0,.1);  padding: 20px 20px 20px 20px;"&gt;&lt;/p&gt;
&lt;div style="clear: both;"&gt;&lt;/div&gt;

&lt;p&gt;These results decisively demonstrate the advantage of batched, hardware-accelerated ODE integration for large-scale uncertainty quantification and parametric studies. For modern simulation workloads, &lt;code&gt;torchdiffeq&lt;/code&gt; turns otherwise intractable analyses into routine computations.&lt;/p&gt;
&lt;h3&gt;Practical Insights &amp;amp; Limitations&lt;/h3&gt;
&lt;p&gt;The dramatic performance advantage of &lt;code&gt;torchdiffeq&lt;/code&gt; for large-batch ODE integration is a game-changer for certain classes of scientific and engineering simulations. However, like any advanced computational tool, its real-world utility depends on the problem context, user preferences, and technical constraints.&lt;/p&gt;
&lt;h4&gt;When torchdiffeq Shines&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Large Batch Sizes:&lt;/strong&gt; The most compelling case for &lt;code&gt;torchdiffeq&lt;/code&gt; is when you need to simulate &lt;em&gt;many&lt;/em&gt; similar ODE systems in parallel. If your workflow naturally involves analyzing thousands of parameter sets (such as in Monte Carlo uncertainty quantification, global sensitivity analysis, optimization sweeps, or high-volume forward simulations), &lt;code&gt;torchdiffeq&lt;/code&gt; can turn days of computation into minutes, especially when exploiting a modern GPU.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Homogeneous ODE Forms:&lt;/strong&gt; &lt;code&gt;torchdiffeq&lt;/code&gt; excels when the differential equations are structurally identical across all batch members (e.g., all projectiles differ only in launch parameters, mass, or drag, not in governing equations). This allows vectorized tensor operations and maximizes parallel hardware utilization.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;GPU Acceleration:&lt;/strong&gt; If you have access to CUDA hardware, the batch approach provided by PyTorch integrates seamlessly. For highly parallelizable problems, the speedup can be more than an order of magnitude compared to CPU execution alone.&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Where scipy’s solve_ivp Is Preferable&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Single or Few Simulations:&lt;/strong&gt; If your workload only involves single or a handful of trajectories (or you need results interactively), &lt;code&gt;scipy.solve_ivp&lt;/code&gt; is still highly convenient. It’s light on dependencies, simple to use, and well-integrated with the broader SciPy ecosystem.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Out-of-the-box Event Handling:&lt;/strong&gt; &lt;code&gt;solve_ivp&lt;/code&gt; integrates event location cleanly, making it straightforward to stop integration at complex conditions (like ground impact, threshold crossings, or domain boundaries) with minimal setup.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;No PyTorch/Deep Learning Stack Needed:&lt;/strong&gt; For users not otherwise relying on PyTorch, keeping everything in NumPy/SciPy can mean a lighter, more transparent setup and easier integration into classic scientific workflows.&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Accuracy and Tolerances&lt;/h4&gt;
&lt;p&gt;Both &lt;code&gt;torchdiffeq&lt;/code&gt; and &lt;code&gt;solve_ivp&lt;/code&gt; allow setting relative and absolute tolerances for error control. In most practical applications, both provide comparable accuracy if configured similarly, though always test with your specific ODEs and parameters, as subtle differences can arise in stiff or highly nonlinear regimes.&lt;/p&gt;
&lt;h4&gt;Limitations of torchdiffeq&lt;/h4&gt;
&lt;ul&gt;
&lt;li&gt;&lt;strong&gt;Complex Events and Custom Solvers:&lt;/strong&gt; While &lt;code&gt;torchdiffeq&lt;/code&gt; supports batching and GPU execution, its event handling isn’t as automatic or flexible as in &lt;code&gt;solve_ivp&lt;/code&gt;. If you need advanced stopping criteria, adaptive step event targeting, or integration using custom/obscure methods, PyTorch-based solvers may require more custom code or workarounds.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Smaller Scientific Ecosystem:&lt;/strong&gt; While PyTorch is hugely popular in machine learning, the larger SciPy ecosystem offers more “out-of-the-box” scientific routines and examples. Some users may need to roll their own utilities in PyTorch.&lt;/li&gt;
&lt;li&gt;&lt;strong&gt;Learning Curve/Code Complexity:&lt;/strong&gt; Writing vectorized, batched ODE functions (especially for newcomers to PyTorch or GPU programming) can pose an initial hurdle. For seasoned scientists accustomed to “for-loop” logic, adapting to a tensor-based, batch-first paradigm may require unlearning older habits.&lt;/li&gt;
&lt;/ul&gt;
&lt;h4&gt;Maintainability&lt;/h4&gt;
&lt;p&gt;For codebases built on PyTorch or targeted at high-throughput, the benefits are worth the upfront learning cost. For one-off or small-scale science projects, the classic SciPy stack may remain more maintainable and accessible for most users. Ultimately, the choice depends on the problem scale, user expertise, and requirements for future extensibility and hardware performance.&lt;/p&gt;
&lt;h3&gt;Conclusions&lt;/h3&gt;
&lt;p&gt;This benchmark study highlights the substantial performance gains attainable by leveraging &lt;code&gt;torchdiffeq&lt;/code&gt; and PyTorch for batched ODE integration in Python. While &lt;code&gt;scipy.solve_ivp&lt;/code&gt; remains robust and user-friendly for single or low-volume simulations, it quickly becomes a bottleneck when working with thousands of parameter variations common in uncertainty quantification, optimization, or high-throughput design. By contrast, &lt;code&gt;torchdiffeq&lt;/code&gt; (especially when combined with GPU acceleration) enables orders-of-magnitude faster simulations thanks to its inherent support for vectorized batching and parallel computation.&lt;/p&gt;
&lt;p&gt;Such speedups are transformative for both research and industry. Rapid batch simulations make Monte Carlo analyses, parametric studies, and iterative design far more feasible, allowing deeper exploration and faster time-to-insight across fields from engineering to quantitative science. For machine learning scientists, batched ODE integration can even be incorporated into differentiable pipelines for neural ODEs or model-based reinforcement learning.&lt;/p&gt;
&lt;p&gt;If you face large-scale ODE workloads, we strongly encourage experimenting with the supplied &lt;a href="https://tinycomputers.io/pages/torchdiffeq.ipynb"&gt;example code&lt;/a&gt; and adapting torchdiffeq to your own applications. Additional documentation, tutorials, and PyTorch resources are available at the &lt;a href="https://baud.rs/x8egoq"&gt;torchdiffeq repository&lt;/a&gt; and &lt;a href="https://baud.rs/ZmdJa6"&gt;PyTorch documentation&lt;/a&gt;. Embracing modern computational tools can unlock dramatic gains in productivity, capability, and discovery.&lt;/p&gt;
&lt;h3&gt;Appendix: Code Listing&lt;/h3&gt;
&lt;p&gt;&lt;a href="https://tinycomputers.io/pages/torchdiffeq.html"&gt;TorchDiffEq&lt;/a&gt; contains an HTML rendering of the complete code listing for this article, including all imports, functions, and plotting routines.  For the actual Jupyter notebook, see &lt;a href="https://tinycomputers.io/pages/torchdiffeq.ipynb"&gt;torchdiffeq.ipynb&lt;/a&gt;.  You can run it directly in a Jupyter notebook or adapt it to your own projects.&lt;/p&gt;</description><category>ballistics</category><category>batch simulation</category><category>drag force</category><category>gpu acceleration</category><category>high-throughput simulation</category><category>monte carlo simulation</category><category>numerical integration</category><category>ode solver</category><category>optimization</category><category>parallel computation</category><category>parameter sweep</category><category>performance benchmarking</category><category>projectile motion</category><category>python</category><category>pytorch</category><category>scientific computing</category><category>scipy.solve_ivp</category><category>torchdiffeq</category><category>uncertainty quantification</category><category>vectorized computation</category><guid>https://tinycomputers.io/posts/accelerating-large-scale-ballistic-simulations-with-torchdiffeq-and-pytorch.html</guid><pubDate>Sat, 10 May 2025 20:44:52 GMT</pubDate></item></channel></rss>