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Statistical Physics of Spin Glasses and Information Processing : An Introduction - Hidetoshi Nishimori

Statistical Physics of Spin Glasses and Information Processing

An Introduction

Paperback Published: 1st September 2001
ISBN: 9780198509400
Number Of Pages: 256

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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

"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 "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 "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 "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 viewpointtraversing 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

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

ISBN: 9780198509400
ISBN-10: 0198509405
Series: Facts
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 256
Published: 1st September 2001
Country of Publication: GB
Dimensions (cm): 23.93 x 16.46  x 1.88
Weight (kg): 0.52