Information, Physics, and Computation by Marc Mezard

Information, Physics, and Computation

byMarc Mezard, Andrea Montanari

Hardcover | February 22, 2009

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This book presents a unified approach to a rich and rapidly evolving research domain at the interface between statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. It is accessible to graduate students and researchers without a specific trainingin any of these fields. The selected topics include spin glasses, error correcting codes, satisfiability, and are central to each field. The approach focuses on large random instances and adopts a common probabilistic formulation in terms of graphical models. It presents message passing algorithmslike belief propagation and survey propagation, and their use in decoding and constraint satisfaction solving. It also explains analysis techniques like density evolution and the cavity method, and uses them to study phase transitions.

About The Author

Professor Marc Mezard is CNRS Research Director at Universite de Paris Sud and Professor at Ecole Polytechnique, France. Marc Mezard received his PhD in 1984. He was hired in CNRS in 1981 and became research director in 1990 at Ecole Normale Superieure. He joined the Universite Paris Sud in 2001. He spent extensive periods in Rome Uni...

Details & Specs

Title:Information, Physics, and ComputationFormat:HardcoverDimensions:584 pages, 9.69 × 6.73 × 1.28 inPublished:February 22, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019857083X

ISBN - 13:9780198570837

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Extra Content

Table of Contents

1. Introduction to Information Theory2. Statistical physics and probability theory3. Introduction to combinatorial optimization4. Probabilistic toolbox5. The Random Energy Model6. Random Code Ensemble7. Number partitioning8. Introduction to replica theory9. Factor graphs and graph ensembles10. Satisfiability11. Low-Density Parity-Check Codes12. Spin glasses13. Bridges: Inference and Monte Carlo14. Belief propagation15. Decoding with belief propagation16. The assignment problem17. Ising models on random graphs18. Linear Boolean equations19. The 1RSB cavity method20. Random K-satisfiability21. Glassy states in coding theory22. An ongoing story

Editorial Reviews

"No doubt a book of highest quality." --Heiko Rieger, Saarland University