19 citations · 74 across the 12 of their papers we have counts for
4 papers · 1 filter
Convergence of diffusions and their discretizations: from continuous to discrete processes and back
Valentin De Bortoli, Alain Durmus
In this paper, we establish new quantitative convergence bounds for a class of functional autoregressive models in weighted total variation metrics. To derive our results, we show…
Geometric ergodicity of the bouncy particle sampler
Alain Durmus, Arnaud Guillin, Pierre Monmarché
The Bouncy Particle Sampler (BPS) is a Monte Carlo Markov Chain algorithm to sample from a target density known up to a multiplicative constant. This method is based on a kinetic p…
An Elementary Approach To Uniform In Time Propagation Of Chaos
Alain Durmus, Andreas Eberle, Arnaud Guillin +1
Based on a coupling approach, we prove uniform in time propagation of chaos for weakly interacting mean-field particle systems with possibly non-convex confinement and interaction…
Optimal scaling of the Random Walk Metropolis algorithm under Lp mean differentiability
Alain Durmus, Sylvain Le Corff, Eric Moulines +1
This paper considers the optimal scaling problem for high-dimensional random walk Metropolis algorithms for densities which are differentiable in Lp mean but which may be irregular…