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Scalable Monte Carlo for Bayesian Learning

Scalable Monte Carlo for Bayesian Learning

Scalable Monte Carlo for Bayesian Learning

Paul Fearnhead, Lancaster University
Christopher Nemeth, Lancaster University
Chris J. Oates, University of Newcastle upon Tyne
Chris Sherlock, Lancaster University
July 2025
Hardback
9781009288446
$64.99
USD
Hardback

    A graduate-level introduction to advanced topics in Markov chain Monte Carlo (MCMC), as applied broadly in the Bayesian computational context. The topics covered have emerged as recently as the last decade and include stochastic gradient MCMC, non-reversible MCMC, continuous time MCMC, and new techniques for convergence assessment. A particular focus is on cutting-edge 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. Examples are woven throughout the text to demonstrate how scalable Bayesian learning methods can be implemented. This text could form the basis for a course and is sure to be an invaluable resource for researchers in the field.

    • Focuses on scalable Bayesian inference techniques for large datasets, making it highly relevant for modern data science and machine learning challenges
    • Covers cutting-edge MCMC techniques like non-reversible MCMC and piecewise deterministic Markov processes (PDMPs)
    • Provides practical examples to demonstrate how scalable Bayesian learning methods can be implemented

    Product details

    July 2025
    Hardback
    9781009288446
    247 pages
    229 × 152 mm
    Not yet published - available from July 2025

    Table of Contents

    • Preface
    • 1. Background
    • 2. Reversible MCMC and its Scaling
    • 3. Stochastic Gradient MCMC Algorithms
    • 4. Non-Reversible MCMC
    • 5. Continuous-Time MCMC
    • 6. Assessing and Improving MCMC
    • References
    • Index.
      Authors
    • Paul Fearnhead , Lancaster University

      Paul Fearnhead is Professor of Statistics at Lancaster University, with research interests in Bayesian and Computational Statistics. He has been awarded Cambridge University's Adams prize, and the Guy Medals in Bronze and Silver from the Royal Statistical Society. He was elected a fellow of the International Society for Bayesian Analysis in 2024 and is currently the Editor of Biometrika.

    • Christopher Nemeth , Lancaster University

      Christopher Nemeth is Professor of Statistics at Lancaster University, working at the interface of Statistics and Machine Learning, with a focus on probabilistic modelling and the development of new computational tools for statistical inference. In 2020, he was awarded a UKRI Turing AI Fellowship to develop new algorithms for probabilistic AI.

    • Chris J. Oates , University of Newcastle upon Tyne

      Chris. J. Oates leads a team working in the areas of Computational Statistics and Probabilistic Machine Learning at Newcastle University. He was awarded a Leverhulme Prize for Mathematics and Statistics in 2023, and the Guy Medal in Bronze of the Royal Statistical Society in 2024.

    • Chris Sherlock , Lancaster University

      Chris Sherlock is Professor of Statistics at Lancaster University. After working in data assimilation, numerical modelling and software engineering, he was caught up in the excitement of Computationally Intensive Bayesian Statistics, obtaining a Ph.D. in the topic and now leading a group of like-minded researchers.