most citedAnnealed Sinkhorn for Optimal Transport: convergence, regularization path and debiasing

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math.OC2026

Local convergence of mean-field Langevin dynamics: from gradient flows to linearly monotone games

Guillaume Wang, Lénaïc Chizat

We study the local convergence of diffusive mean-field systems, including Wasserstein gradient flows, min-max dynamics, and multi-species games. We establish exponential local conv…

math.OC2024

Mean-Field Langevin Dynamics for Signed Measures via a Bilevel Approach

Guillaume Wang, Alireza Mousavi-Hosseini, Lénaïc Chizat

Mean-field Langevin dynamics (MLFD) is a class of interacting particle methods that tackle convex optimization over probability measures on a manifold, which are scalable, versatil…