Abstract: In this talk, we will discuss recent progress on mathematical analysis of flow based generative models, which is a highly successful approach for learning a probability distribution from data and generating further samples. We will talk about some recent results in convergence analysis of diffusion models and related flow-based methods. In particular, we established convergence of score-based diffusion models applying to any distribution with bounded 2nd moment, relying only on a $L^2$-accurate score estimates, with polynomial dependence on all…