161 citations · 2k across the 112 of their papers we have counts for
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A proof of the mean-field limit for -convex potentials by -Convergence
J. A. Carrillo, M. G. Delgadino, G. A. Pavliotis
In this work we give a proof of the mean-field limit for -convex potentials using a purely variational viewpoint. Our approach is based on the observation that all evolution equ…
The sharp, the flat and the shallow: Can weakly interacting agents learn to escape bad minima?
Nikolas Kantas, Panos Parpas, Grigorios A. Pavliotis
An open problem in machine learning is whether flat minima generalize better and how to compute such minima efficiently. This is a very challenging problem. As a first step towards…
Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations
Assyr Abdulle, Grigorios A. Pavliotis, Gilles Vilmart
In this paper we propose a new approach for sampling from probability measures in, possibly, high dimensional spaces. By perturbing the standard overdamped Langevin dynamics by a s…
Mean-field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods
S. N. Gomes, G. A. Pavliotis, U. Vaes
In this paper we consider systems of weakly interacting particles driven by colored noise in a bistable potential, and we study the effect of the correlation time of the noise on t…