Conditions on curvature, temperature, and saddle behavior ensure polynomial mixing times for Langevin dynamics on Riemannian manifolds via a submersion relation.
On the implicit regularization of langevin dynamics with projected noise
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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.
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