A PDE framework using Li-Yau inequalities proves well-posedness and sharp stability for score-based Fokker-Planck dynamics, with reverse-time trajectories concentrating on compactly supported data manifolds at rate sqrt(t).
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A PDE Perspective on Generative Diffusion Models
A PDE framework using Li-Yau inequalities proves well-posedness and sharp stability for score-based Fokker-Planck dynamics, with reverse-time trajectories concentrating on compactly supported data manifolds at rate sqrt(t).