16 citations · 17 across the 11 of their papers we have counts for
4 papers · 1 filter
Improving sampling by modifying the effective diffusion
Tony Lelièvre, Régis Santet, Gabriel Stoltz
Markov chain Monte Carlo samplers based on discretizations of (overdamped) Langevin dynamics are commonly used in the Bayesian inference and computational statistical physics liter…
Sampling metastable systems using collective variables and Jarzynski-Crooks paths
Christoph Schönle, Marylou Gabrié, Tony Lelièvre +1
We consider the problem of sampling a high dimensional multimodal target probability measure. We assume that a good proposal kernel to move only a subset of the degrees of freedoms…
Optimizing the diffusion coefficient of overdamped Langevin dynamics
Tony Lelièvre, Grigorios A. Pavliotis, Geneviève Robin +2
Overdamped Langevin dynamics are reversible stochastic differential equations which are commonly used to sample probability measures in high-dimensional spaces, such as the ones ap…
A spectral approach to the narrow escape problem in the disk
Tony Lelièvre, Mohamad Rachid, Gabriel Stoltz
We study the narrow escape problem in the disk, which consists in identifying the first exit time and first exit point distribution of a Brownian particle from the ball in dimensio…