The shifted ODE method for underdamped Langevin MCMC

In this paper, we consider the underdamped Langevin diffusion (ULD) and propose a numerical approximation using its associated ordinary differential equation (ODE). When used as a Markov Chain Monte Carlo (MCMC) algorithm, we show that the ODE approximation achieves a 2-Wasserstein error of ε in O(d...

Full description

Bibliographic Details
Main Authors: Foster, J, Lyons, T, Oberhauser, H
Format: Internet publication
Language:English
Published: 2021