Mean-field underdamped Langevin dynamics achieves Nesterov acceleration for Wasserstein minimization of displacement-convex free energies by extending a linear-case result to the nonlinear setting.
Uniform Poincar´ e and log- arithmic Sobolev inequalities for mean field particle systems.The Annals of Applied Probability, 32(3):1590 – 1614
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Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
Mean-field underdamped Langevin dynamics achieves Nesterov acceleration for Wasserstein minimization of displacement-convex free energies by extending a linear-case result to the nonlinear setting.