Hidetoshi Nishimori

Statistical Physics of Spin Glasses and Information Processing

An Introduction

• Gebundenes Buch

Produktbeschreibung

Spin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical techniques have been developed to establish a theory of spin glasses. Surprisingly, these techniques have turned out to offer new tools and viewpoints for the understanding of information processing problems, including neural networks, error-correcting codes, image restoration, and optimization problems. This book is one of the first publications of the past ten years that provide a broad overview of this interdisciplinary field. Most of the book is written in a self-contained manner, assuming only a general knowledge of statistical mechanics and basic probability theory. It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments.

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Produktdetails

• Verlag: Hurst & Co.
• Seitenzahl: 256
• Erscheinungstermin: 27. September 2001
• Englisch
• Abmessung: 242mm x 162mm x 19mm
• Gewicht: 484g
• ISBN-13: 9780198509400
• ISBN-10: 0198509405
• Artikelnr.: 21916893

Autorenporträt

Professor Hidetoshi Nishimori, Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan, Tel.: [phone], Fax: [phone], email: [e-mail]

Inhaltsangabe

1: Mean-field theory of phase transitions
2: Mean-field theory of spin glasses
3: Replica symmetry breaking
4: Gauge theory of spin glasses
5: Error-correcting codes
6: Image restoration
7: Associative memory
8: Learning in perceptron
9: Optimization problems
A. Eigenvalues of the Hessian
B. Parisi equation
C. Channel coding theorem
D. Distribution and free energy of K-Sat
References
Index