This is a decent derivation, if a little verbose, but I find myself doubting the disclaimer at the top: > Disclaimer: no AI was used to write this. Any errors, awkward sentences, and weird tangents are 100% organic, free-range, and human-made. If you're writing by hand and trying to avoid accusations of AI-generated content, it's really easy not to write bulleted lists where each item starts with a boldface summary l…
> Same transformation. Same map on every actual vector. But now it looks like an arbitrary tangle of scaling, shearing, and sign flips — you’d never guess it was just “stretch x by 3.” I have a very hard time imagining a human writing this if they weren't intentionally attempting to sound like an LLM.
> This is the engine behind image compression
SVD+truncate (or any other low rank approximation) is absolutely not used in any real image compression. Of course, it is a popular classroom project to demonstrate SVD. It's O(n^3) ffs.
Only AI would call SVD the "engine behind image compression", lol.