Jump to ContentJump to Main Navigation
Information, Physics, and Computation$
Users without a subscription are not able to see the full content.

Marc Mézard and Andrea Montanari

Print publication date: 2009

Print ISBN-13: 9780198570837

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780198570837.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 03 April 2020

Bridges: Inference and the Monte Carlo method

Bridges: Inference and the Monte Carlo method

(p.267) 13 Bridges: Inference and the Monte Carlo method
Information, Physics, and Computation

Marc Mézard

Andrea Montanari

Oxford University Press

The mathematical structure highlighted in this chapter by the factor graph representation is the locality of probabilistic dependencies between variables. Locality also emerges in many problems of probabilistic inference, which provides another unifying view of the field. This chapter describes coding theory, statistical physics, and combinatorial optimization as inference problems. It also explores one generic inference method, the use of Monte Carlo Markov chains (MCMC) in order to sample from complex probabilistic models. Many of the difficulties encountered in decoding, in constraint satisfaction problems, or in glassy phases, are connected to a dramatic slowing down of MCMC dynamics, which is explored through simple numerical experiments on some examples.

Keywords:   inference, Monte Carlo, Markov chain, MCMC dynamics, coding theory, combinatorial optimization

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .