Scalable Monte Carlo for Bayesian Learning

Fearnhead, Paul and Nemeth, Christopher and Oates, Chris J. and Sherlock, Chris (2025) Scalable Monte Carlo for Bayesian Learning. Institute of Mathematical Statistics Monographs . Cambridge University Press, Cambridge. ISBN 9781009288446

Abstract

This book aims to provide a graduate-level introduction to advanced topics in Markov chain Monte Carlo (MCMC) algorithms, as applied broadly in the Bayesian computational context. Most, if not all of these topics (stochastic gradient MCMC, non-reversible MCMC, continuous time MCMC, and new techniques for convergence assessment) have emerged as recently as the last decade, and have driven substantial recent practical and theoretical advances in the field. A particular focus is on methods that are scalable with respect to either the amount of data, or the data dimension, motivated by the emerging high-priority application areas in machine learning and AI.