Orateur
Marta Gentiloni Silveri
(SIMPAS, CMAP, École polytechnique)
Description
Diffusion Flow Matching (DFM) models provide a powerful framework for generative modeling, and recent research suggests their connection to the entropic optimal transport (EOT) problem. In this talk, I will focus on the theoretical foundations of DFMs, their connections with EOT, and present novel non-asymptotic guarantees for these models. Specifically, I will discuss how, under mild assumptions on the target and auxiliary distributions, we establish bounds on the Kullback-Leibler divergence between the generated and target distributions when using as bridge the conditional distribution associated with the Brownian motion. Joint work with Giovanni Conforti and Alain
Durmus