Non-asymptotic Convergence of Stochastic Gradient Descent in Score-based Generative Models

תקציר מקורי באנגליתarXiv:2607.04775v2 Announce Type: replace-cross Abstract: Score-based Generative Models (SGMs) have achieved impressive performance in data generation across a wide range of applications. While the statistical properties of their sampling procedures are increasingly well understood, the optimization dynamics underlying their training remain less explored. SGMs are typically trained by minimizing a weighted denoising score-matching objective, yet optimization guarantees with stochastic gradients remain limited. In this work, we study Stochastic Gradient Descent (SGD) for SGMs, contributing results in two complementary regimes. For general score parameterizations, we derive a non-convex analysis of SGD for the weighted denoising score-matching objective, making explicit how the resulting opt