73 citations · 343 across the 31 of their papers we have counts for
3 papers · 2 filters
Algorithms for Kullback-Leibler Approximation of Probability Measures in Infinite Dimensions
Frank J. Pinski, Gideon Simpson, Andrew M. Stuart +1
In this paper we study algorithms to find a Gaussian approximation to a target measure defined on a Hilbert space of functions; the target measure itself is defined via its density…
A Generalized Parallel Replica Dynamics
Andrew Binder, Tony Lelièvre, Gideon Simpson
Metastability is a common obstacle to performing long molecular dynamics simulations. Many numerical methods have been proposed to overcome it. One method is parallel replica dynam…
The parallel replica method for simulating long trajectories of Markov chains
David Aristoff, Tony Lelièvre, Gideon Simpson
The parallel replica dynamics, originally developed by A.F. Voter, efficiently simulates very long trajectories of metastable Langevin dynamics. We present an analogous algorithm f…