Introduction to Sampling and Generative Algorithms

You know that I was writing these notes in Chinese for convenience and better expression. However later I realized that these things are written mostly for peers, so I am writing in English from now.

We have discussed a few aspects of deep generative models in previous parts, specifically VAE and a brief cover (from MIT 6.S184) of diffusion and flow models. As I finished CS3936 I realized that these theories are merely an aspect of stochastic interpolants. So I decide to have a more detailed discussion on these closely related sampling and generative algorithms along with basic mathematical tools and more detailed proofs, as I intend to pursue such fields in the future.

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