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Information, Physics, and Computation(Oxford Graduate Texts) H 584 p. 09

Mézard, Marc, Montanari, Andrea 　著

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価格 \20,006（税込）

発行年月	2009年01月
出版社／提供元	Oxford University Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	584 p., 140 line drawings
ジャンル	洋書／理工学／物理学／統計物理学、熱力学、非線型物理学
ISBN	9780198570837
商品コード	0202239494
本の性格	テキスト
新刊案内掲載月	2008年10月
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0202239494

内容

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 and adopts 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.

1. Introduction to Information Theory; 2. Statistical physics andprobability theory; 3. Introduction to combinatorial optimization; 4.Probabilistic toolbox; 5. The Random Energy Model; 6. Random Code Ensemble;7. Number partitioning; 8. Introduction to replica theory; 9. Factor graphsand graph ensembles; 10. Satisfiability; 11. Low-Density Parity-Check Codes;12. Spin glasses; 13. Bridges: Inference and Monte Carlo; 14. Beliefpropagation; 15. Decoding with belief propagation; 16. The assignmentproblem; 17. Ising models on random graphs; 18. Linear Boolean equations; 19.The 1RSB cavity method; 20. Random K-satisfiability; 21. Glassy states incoding theory; 22. An ongoing story