AI RESEARCH
A note on connections between the F\"ollmer process and the denoising diffusion probabilistic model
arXiv CS.LG
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ArXi:2605.18040v1 Announce Type: cross The F\"ollmer process is a Brownian motion conditioned to have a pre-specified distribution at time 1. This process can be interpreted as an "augmented" time-compressed version of the reverse stochastic differential equation (SDE) for the denoising diffusion probabilistic model (DDPM). While this fact has been indirectly used to analyze DDPM sampling errors via discretization of the reverse SDE, connections between direct discretization of the F\"ollmer process and the DDPM sampler have not yet been fully explored.