I feel like Song et al characterized diffusion models as SDEs pretty unambiguously, and it connects to Optimal Transport in a pretty unambiguous manner. I understand the desire to give different perspectives, but once you start using multiple hedge words/qualitatives like:
> basically an approximate version of the Fourier transform!
You should take a step back and ask “am I actually muddying the water right now?”
Sorry to hear that. My blog posts are intended to build intuition. I also write academic papers, which of course involves a different standard of rigour. Perhaps you'd prefer those, only one of those is about diffusion models though.
> basically an approximate version of the Fourier transform!
You should take a step back and ask “am I actually muddying the water right now?”