Xi-Xian Wang

A priori regularity of the reverse heat flow and dimension-dependent complexity of higher-order diffusion samplers

We establish arbitrary-order a priori regularity estimates for the reverse heat flow in the Ornstein--Uhlenbeck setting, that is, for the probability-flow ODE of score-based diffusion models. For compactly supported, possibly singular targets satisfying a dimension-uniform doubling condition on supporting-cap masses, w...