Generalization Bounds for Flow-matching Generative Models for Intrinsically Low-dimensional Data

Excerpt

arXiv:2610.02663v2 Announce Type: replace-cross Abstract: Despite the remarkable empirical success of flow-matching models, their statistical generalization guarantees remain underdeveloped. Existing analyses often impose restrictive assumptions on the estimated velocity field and yield convergence rates that fail to reflect the intrinsic low-dimensional structure common in real data, such as natural images and molecular geometries. In this work, we study the statistical generalization of flow-m