Uniform-in-time propagation of chaos for mean field Langevin dynamics

• URL: http://arxiv.org/abs/2212.03050v4
• Date: Wed, 05 Nov 2025 18:30:20 GMT
• Title: Uniform-in-time propagation of chaos for mean field Langevin dynamics
• Abstract summary: We study the mean field Langevin dynamics and the associated particle system.<n>By assuming the functional convexity of the energy, we obtain the $Lp$-convergence of the marginal distributions towards the unique invariant measure for the mean field dynamics.
• Score: 5.4927963787853455
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the mean field Langevin dynamics and the associated particle system. By assuming the functional convexity of the energy, we obtain the $L^p$-convergence of the marginal distributions towards the unique invariant measure for the mean field dynamics. Furthermore, we prove the uniform-in-time propagation of chaos in both the $L^2$-Wasserstein metric and relative entropy.

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