math.PR, math.ST, stat.ML, stat.TH

Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities

arXiv:2604.06065v1 Announce Type: cross
Abstract: Under general assumptions on the target distribution $p^\star$, we establish a sharp Lipschitz regularity theory for flow-matching vector fields and diffusion-model scores, with optimal dependence on t…