Statistical Physics of Spin Glasses and Information Processing: An Introduction

Paperback | August 15, 2001

byHidetoshi Nishimori

not yet rated|write a review
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, thesetechniques 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 abroad 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 tofollow its most recent developments.

Pricing and Purchase Info

$158.83 online
$204.00 list price (save 22%)
Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

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, thesetechniques have turned out to offer new tools...

Professor Hidetoshi Nishimori, Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan, Tel.: +81/3/57342488, Fax: +81/3/57342719, email: nishi@stat.phys.titech.ac.jp

other books by Hidetoshi Nishimori

Format:PaperbackDimensions:256 pages, 9.21 × 6.14 × 0.59 inPublished:August 15, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198509413

ISBN - 13:9780198509417

Look for similar items by category:

Customer Reviews of Statistical Physics of Spin Glasses and Information Processing: An Introduction

Reviews

Extra Content

Table of Contents

1. Mean-field theory of phase transitions2. Mean-field theory of spin glasses3. Replica symmetry breaking4. Gauge theory of spin glasses5. Error-correcting codes6. Image restoration7. Associative memory8. Learning in perceptron9. Optimization problemsA. Eigenvalues of the HessianB. Parisi equationC. Channel coding theoremD. Distribution and free energy of K-SatReferencesIndex

Editorial Reviews

"Assuming only general knowledge of statistical mechanics and basic probability theory, Nishimori (physics, Tokyo Institute of Technology, Japan) reviews recent developments in error-correcting codes, image restoration, neural networks, and optimization problems. He provides a unified viewpoint traversing several different research fields with the replica methods as the common language, which emerged from the spin glass theory. The spin glass theory itself is addressed in the first part, followed by statistical-mechanical approaches to information processing problems."--SciTech Book News "One of the principal purposes of this book is to elucidate some of the important recent developments in these interdisciplinary directions, such as error-correcting codes, image restoration, neural networks, and optimization problems."--Mathematical Reviews