Scalable Monte Carlo for Bayesian Learning (Institute of Mathematical Statistics Monographs)

Fearnhead, Paul/ Nemeth, Christopher/ Oates, Chris J.

Cambridge University Press（2025/06発売）

Cambridge University Press（2025/06発売）

• 製本 Hardcover:ハードカバー版／ページ数 247 p.
• 言語 ENG
• 商品コード 9781009288446
• DDC分類 518.282

Full Description

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.

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.