The Manifold Hypothesis Across Diffusion, GANs, and Latent Spaces
We are going to explore 6 great mysteries of Generative AI.
- Why does a diffusion model have to destroy an image with noise before it can create one?
- Why did GANs collapse, oscillate, and make grown engineers cry for five straight years?
- Why does king — man + woman = queen actually work inside a language model?
- Why can a tiny printed sticker fool a vision system that outperforms trained radiologists?
- Why can you slide a dial in “latent space” and watch one face morph smoothly into another?
- Why doesn’t deep learning drown in the curse of dimensionality — when every statistics textbook says it should?
Six mysteries. Every practitioner has bumped into them. Almost nobody can explain them.
I’m writing this article to tell you that there is one mathematical idea that explains all six — and a seventh bonus mystery I’ll throw in for free. That idea is...
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