activity
20162026
most citedPathwise error bounds in Multiscale variable splitting methods for spatial stochastic kinetics

9 citations · 21 across the 9 of their papers we have counts for

collaborators

9 papers

stat.CO2026

Establishing an complexity lower bound for PDMP samplers and how to break it: a sub- algorithm for Gaussian-tailed targets

Augustin Chevallier

Despite the theoretical appeal of their non-reversibility, to date, no Piecewise Deterministic Markov Process (PDMP) samplers have been developed that scale better than $\mathcal{O…

stat.CO2025

Covariance-Adaptive Bouncy Particle Samplers via Split Lagrangian Dynamics

Augustin Chevallier, Erik Raab

Piecewise Deterministic Markov Processes (PDMPs) provide a powerful framework for continuous-time Monte Carlo, with the Bouncy Particle Sampler (BPS) as a prominent example. Recent…

stat.CO2025

Towards practical PDMP sampling: Metropolis adjustments, locally adaptive step-sizes, and NUTS-based time lengths

Augustin Chevallier, Sam Power, Matthew Sutton

Piecewise-Deterministic Markov Processes (PDMPs) hold significant promise for sampling from complex probability distributions. However, their practical implementation is hindered b…

stat.ME2022★ 1 cited

Continuously-Tempered PDMP Samplers

Matthew Sutton, Robert Salomone, Augustin Chevallier +1

New sampling algorithms based on simulating continuous-time stochastic processes called piece-wise deterministic Markov processes (PDMPs) have shown considerable promise. However,…

stat.CO2022★ 5 cited

Efficient computation of the volume of a polytope in high-dimensions using Piecewise Deterministic Markov Processes

Augustin Chevallier, Frédéric Cazals, Paul Fearnhead

Computing the volume of a polytope in high dimensions is computationally challenging but has wide applications. Current state-of-the-art algorithms to compute such volumes rely on…

math.ST2021★ 2 cited

PDMP Monte Carlo methods for piecewise-smooth densities

Augustin Chevallier, Sam Power, Andi Q. Wang +1

There has been substantial interest in developing Markov chain Monte Carlo algorithms based on piecewise-deterministic Markov processes. However existing algorithms can only be use…

stat.CO2020★ 1 cited

Reversible Jump PDMP Samplers for Variable Selection

Augustin Chevallier, Paul Fearnhead, Matthew Sutton

A new class of Markov chain Monte Carlo (MCMC) algorithms, based on simulating piecewise deterministic Markov processes (PDMPs), have recently shown great promise: they are non-rev…

stat.ME2020★ 3 cited

NuZZ: numerical Zig-Zag sampling for general models

Filippo Pagani, Augustin Chevallier, Sam Power +2

Markov chain Monte Carlo (MCMC) is a key algorithm in computational statistics, and as datasets grow larger and models grow more complex, many popular MCMC algorithms become too co…

math.NA2016★ 9 cited

Pathwise error bounds in Multiscale variable splitting methods for spatial stochastic kinetics

Augustin Chevallier, Stefan Engblom

Stochastic computational models in the form of pure jump processes occur frequently in the description of chemical reactive processes, of ion channel dynamics, and of the spread of…