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An Introduction To The Theory Of Spin Glasses And Neural Networks
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Book Synopsis An Introduction to the Theory of Spin Glasses and Neural Networks by : V Dotsenko
Download or read book An Introduction to the Theory of Spin Glasses and Neural Networks written by V Dotsenko and published by World Scientific. This book was released on 1995-01-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks. The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics. Contents:The Ising Magnetic SystemsPhysics of the Spin Glass StateReplica MethodReplica Symmetry BreakingPhysics of Replica Symmetry BreakingReplica Symmetry Breaking Solution Near TcUltrametricityScaling in the Space of Spin Glass StatesExperimentsPartial AnnealingStatistical Models of Neural NetworksThe Hopfield ModelPartial Annealing in Neural NetworksOther Kinds of Neural NetworksAppendix: Stability of the Replica-Symmetric Solutions Readership: Researchers and graduate students in statistical mechanics and neural networks. keywords: “The book by Viktor Dotsenko in large parts presents the most important results of this research based on the replica method. Although these results have been presented systematically already elsewhere (for instance in the well-known book by Amit) their concise presentation makes the book self-contained and a good introduction to the theoretical tools.” Mathematics Abstracts
Book Synopsis Spin Glass Theory and Beyond by : M Mezard
Download or read book Spin Glass Theory and Beyond written by M Mezard and published by World Scientific Publishing Company. This book was released on 1987-11-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.
Book Synopsis Mathematical Aspects of Spin Glasses and Neural Networks by : Anton Bovier
Download or read book Mathematical Aspects of Spin Glasses and Neural Networks written by Anton Bovier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spin Glasses and Complexity by : Daniel L. Stein
Download or read book Spin Glasses and Complexity written by Daniel L. Stein and published by Princeton University Press. This book was released on 2013-01-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
Book Synopsis An Introduction to the Theory of Spin Glasses and Neural Networks by : Viktor Dotsenko
Download or read book An Introduction to the Theory of Spin Glasses and Neural Networks written by Viktor Dotsenko and published by World Scientific. This book was released on 1994 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.
Book Synopsis Statistical Physics of Spin Glasses and Information Processing by : Hidetoshi Nishimori
Download or read book Statistical Physics of Spin Glasses and Information Processing written by Hidetoshi Nishimori and published by Clarendon Press. This book was released on 2001 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This superb new book is one of the first publications in recent years to 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 probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
Book Synopsis Spin Glasses and Complexity by : Daniel L. Stein
Download or read book Spin Glasses and Complexity written by Daniel L. Stein and published by Princeton University Press. This book was released on 2013-01-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.
Book Synopsis Spin Glasses And Biology by : Daniel L Stein
Download or read book Spin Glasses And Biology written by Daniel L Stein and published by World Scientific. This book was released on 1992-08-11 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an introduction to the application of techniques developed for the study of disordered systems to problems which arise in biology. Topics presented include neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. This book will appeal to students and researchers interested in statistical and condensed matter physics, glasses and spin glasses, and biophysics.
Download or read book Neural Networks written by Berndt Müller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neural Networks presents concepts of neural-network models and techniques of parallel distributed processing in a three-step approach: - A brief overview of the neural structure of the brain and the history of neural-network modeling introduces to associative memory, preceptrons, feature-sensitive networks, learning strategies, and practical applications. - The second part covers subjects like statistical physics of spin glasses, the mean-field theory of the Hopfield model, and the "space of interactions" approach to the storage capacity of neural networks. - The final part discusses nine programs with practical demonstrations of neural-network models. The software and source code in C are on a 3 1/2" MS-DOS diskette can be run with Microsoft, Borland, Turbo-C, or compatible compilers.
Download or read book Spin Glasses written by K. H. Fischer and published by Cambridge University Press. This book was released on 1993-05-27 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory, experimental work and computer modelling of spin glasses.
Book Synopsis Spin Glass Theory and Beyond by : Marc Mezard
Download or read book Spin Glass Theory and Beyond written by Marc Mezard and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spin Glasses and Random Fields by : A. Peter Young
Download or read book Spin Glasses and Random Fields written by A. Peter Young and published by World Scientific. This book was released on 1998 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen many developments in the study of ?frustrated? systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.
Book Synopsis Spin Glasses: A Challenge for Mathematicians by : Michel Talagrand
Download or read book Spin Glasses: A Challenge for Mathematicians written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2003-07-11 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.
Book Synopsis The Sherrington-Kirkpatrick Model by : Dmitry Panchenko
Download or read book The Sherrington-Kirkpatrick Model written by Dmitry Panchenko and published by Springer Science & Business Media. This book was released on 2013-02-26 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.
Book Synopsis Mathematical Aspects of Spin Glasses and Neural Networks by : Anton Bovier
Download or read book Mathematical Aspects of Spin Glasses and Neural Networks written by Anton Bovier and published by Birkhauser. This book was released on 1998 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Spin Glasses, Annealing and Computation by : Shu Tanaka
Download or read book Quantum Spin Glasses, Annealing and Computation written by Shu Tanaka and published by Cambridge University Press. This book was released on 2017-05-04 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Discusses the recent developments in quantum statistical physics of spin glasses and quantum computations"--Provided by publisher.
Book Synopsis Mean Field Models for Spin Glasses by : Michel Talagrand
Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by . This book was released on 2011 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
