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Information, Physics, and Computation : Oxford Graduate Texts - Andrea  Montanari

Information, Physics, and Computation

By: Andrea Montanari, Marc Mezard

Hardcover | 15 January 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 training in 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, adopting a common probabilistic formulation in terms of graphical models. It presents message passing algorithms like 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.
Industry Reviews
`Combines an exceptionally broad coverage of non-trivial problems with a treatment of sufficient depth [...] A very valuable and unique book.' ACC Coolen, King's College London `There is a growing awareness within computer science that concepts from statistical physics and information theory can provide excellent tools to study computational methods and problems. This book, by world-renowned experts in the field, provides a lucid introduction to this exciting new interdisciplinary research area. ' Bart Selman, Cornell University `No doubt a book of highest quality.' Heiko Rieger, Saarland University

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