10 citations · 20 across the 15 of their papers we have counts for
4 papers · 1 filter
Non-asymptotic entropic bounds for non-linear kinetic Langevin sampler with second-order splitting scheme
Pierre Monmarché, Katharina Schuh
The problem of sampling according to the probability distribution minimizing a given free energy, using interacting particles unadjusted kinetic Langevin Monte Carlo, is addressed.…
Uniform log-Sobolev inequalities for mean field particles beyond flat-convexity
Pierre Monmarché
In the nice recent work [48], S. Wang established uniform log-Sobolev inequalities for mean field particles when the energy is flat convex. In this note we comment how to extend hi…
Local convergence rates for Wasserstein gradient flows and McKean-Vlasov equations with multiple stationary solutions
Pierre Monmarché, Julien Reygner
Non-linear versions of log-Sobolev inequalities, that link a free energy to its dissipation along the corresponding Wasserstein gradient flow (i.e. corresponds to Polyak-Lojasiewic…
Time-uniform log-Sobolev inequalities and applications to propagation of chaos
Pierre Monmarché, Zhenjie Ren, Songbo Wang
Time-uniform log-Sobolev inequalities (LSI) satisfied by solutions of semi-linear mean-field equations have recently appeared to be a key tool to obtain time-uniform propagation of…