Local exponential stability of mean-field Langevin descent-ascent and associated particle system
cs.LG, math.AP, math.OC, math.PR
Submitted: 2026-02-02
Updated: 2026-10-06
Terminology
Sources
- Wasserstein-{\L}ojasiewicz inequalities and asymptotics of McKean-Vlasov equation
- Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games
- On gradient descent-ascent flows in metric spaces
- Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games
- Provably convergent quasistatic dynamics for mean-field two-player zero-sum games
- Long-time propagation of chaos and exit times for metastable mean-field particle systems
- PL conditions do not guarantee convergence of gradient descent-ascent dynamics
- Oscillating solutions to the mean-field Langevin descent-ascent flow
- Local convergence of mean-field Langevin dynamics: from gradient flows to linearly monotone games
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