We analyze the complexity of sampling from a class of heavy-tailed distributions by discretizing a natural class of Itô diffusions associated with weighted Poincaré inequalities …
We study the long-time convergence behavior of underdamped Langevin dynamics, when the spatial equilibrium satisfies a weighted Poincar\'e inequality, with a general velocity …
We consider two approaches to study non-reversible Markov processes, namely the hypocoercivity theory and general equations for non-equilibrium reversible–irreversible …
We analyze the oracle complexity of sampling from polynomially decaying heavy-tailed target densities based on running the Unadjusted Langevin Algorithm on certain …
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 …
G Vasdekis, GO Roberts - The Annals of Applied Probability, 2023 - projecteuclid.org
Speed up Zig-Zag Page 1 The Annals of Applied Probability 2023, Vol. 33, No. 6A, 4693–4746 https://doi.org/10.1214/23-AAP1930 This research was funded, in whole or in part, by [NERC …
P Dobson, J Bierkens - Stochastic Processes and their Applications, 2023 - Elsevier
In this paper we aim to construct infinite dimensional versions of well established Piecewise Deterministic Monte Carlo methods, such as the Bouncy Particle Sampler, the Zig-Zag …
Abstract 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 …
A NOTE ON THE POLYNOMIAL ERGODICITY OF THE ONE-DIMENSIONAL ZIG-ZAG PROCESS Page 1 J. Appl. Probab. 59, 895–903 (2022) doi:10.1017/jpr.2021.97 A NOTE ON …