Derivation of equation (A.3) in the paper

LuChengTHU / dpm-solver

Official code for "DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps" (Neurips 2022 Oral)

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Derivation of equation (A.3) in the paper #34

Closed luowyang closed 1 year ago

luowyang commented 1 year ago

In the DPM-Solver (not the ++) paper, Appendix A.3, equation (A.3) mysteriously emerges from nowhere. The DPM-Solver paper cites the SDE paper, "Score-Based Generative Modeling through Stochastic Differential Equations", as the source of that equation, but I find no clue of how it can be derived from the SDE paper. Can you provide some hints or am I missing something?

LuChengTHU commented 1 year ago

Sorry for the wrong cite. It should be this paper: "Maximum Likelihood Training of Score-Based Diffusion Models"

If you are interested in maximum likelihood training of diffusion ODEs, please check my another work "Maximum Likelihood Training for Score-Based Diffusion ODEs by High-Order Denoising Score Matching" :)