3 papers
cs.LG2026
Local exponential stability of mean-field Langevin descent-ascent and associated particle system
Geuntaek Seo, Minseop Shin, Pierre Monmarché +1
We study the mean-field Langevin descent-ascent (MFL-DA), a coupled optimization dynamics on the space of probability measures for entropically regularized two-player zero-sum game…
math.AP2026
Wasserstein-Åojasiewicz inequalities and asymptotics of McKean-Vlasov equation
Beomjun Choi, Seunghoon Jeong, Geuntaek Seo
We prove convergence to equilibrium for solutions to the McKean-Vlasov (granular media) equation on the flat torus in a genuinely nonconvex setting. Our approach is based on a Wass…
math.AP2024
Thom's gradient conjecture for nonlinear evolution equations
Beomjun Choi, Pei-Ken Hung
R. Thom's gradient conjecture states that if a gradient flow of an analytic function converges to a limit, it does so along a unique limiting direction. In this paper, we extend an…