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Statistical Physics Of Spin Glasses And Information Processing
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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 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 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Perspectives on Spin Glasses by : Pierluigi Contucci
Download or read book Perspectives on Spin Glasses written by Pierluigi Contucci and published by Cambridge University Press. This book was released on 2013 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.
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 Random Fields and Spin Glasses by : Cirano De Dominicis
Download or read book Random Fields and Spin Glasses written by Cirano De Dominicis and published by Cambridge University Press. This book was released on 2006-10-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces some useful and little known techniques in statistical mechanics and field theory including multiple Legendre transforms, supersymmetry, Fourier transforms on a tree, infinitesimal permutations and Ward Takahashi Identities."--Jacket.
Book Synopsis Information, Physics, and Computation by : Marc Mézard
Download or read book Information, Physics, and Computation written by Marc Mézard and published by Oxford University Press. This book was released on 2009-01-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.
Book Synopsis From Statistical Physics to Statistical Inference and Back by : P. Grassberger
Download or read book From Statistical Physics to Statistical Inference and Back written by P. Grassberger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists, when modelling physical systems with a large number of degrees of freedom, and statisticians, when performing data analysis, have developed their own concepts and methods for making the `best' inference. But are these methods equivalent, or not? What is the state of the art in making inferences? The physicists want answers. More: neural computation demands a clearer understanding of how neural systems make inferences; the theory of chaotic nonlinear systems as applied to time series analysis could profit from the experience already booked by the statisticians; and finally, there is a long-standing conjecture that some of the puzzles of quantum mechanics are due to our incomplete understanding of how we make inferences. Matter enough to stimulate the writing of such a book as the present one. But other considerations also arise, such as the maximum entropy method and Bayesian inference, information theory and the minimum description length. Finally, it is pointed out that an understanding of human inference may require input from psychologists. This lively debate, which is of acute current interest, is well summarized in the present work.
Book Synopsis Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications by : Marc Mezard
Download or read book Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications written by Marc Mezard and published by World Scientific Publishing Company. This book was released on 1987-11-01 with total page 477 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 Statistical Mechanics of Classical and Disordered Systems by : Véronique Gayrard
Download or read book Statistical Mechanics of Classical and Disordered Systems written by Véronique Gayrard and published by Springer Nature. This book was released on 2019-09-15 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems. Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.
Book Synopsis A Guide to Monte Carlo Simulations in Statistical Physics by : David Landau
Download or read book A Guide to Monte Carlo Simulations in Statistical Physics written by David Landau and published by Cambridge University Press. This book was released on 2021-07-29 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique coverage of Monte Carlo methods for both continuum and lattice systems, explaining particularly analysis of phase transitions.
Book Synopsis A Guide to Monte Carlo Simulations in Statistical Physics by : David P. Landau
Download or read book A Guide to Monte Carlo Simulations in Statistical Physics written by David P. Landau and published by Cambridge University Press. This book was released on 2014-11-13 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. This fourth edition contains extensive new material describing numerous powerful algorithms not covered in previous editions, in some cases representing new developments that have only recently appeared. Older methodologies whose impact was previously unclear or unappreciated are also introduced, in addition to many small revisions that bring the text and cited literature up to date. This edition also introduces the use of petascale computing facilities in the Monte Carlo arena. Throughout the book there are many applications, examples, recipes, case studies, and exercises to help the reader understand the material. It is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.
Book Synopsis Neural Information Processing by : Akira Hirose
Download or read book Neural Information Processing written by Akira Hirose and published by Springer. This book was released on 2016-09-30 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four volume set LNCS 9947, LNCS 9948, LNCS 9949, and LNCS 9950 constitutes the proceedings of the 23rd International Conference on Neural Information Processing, ICONIP 2016, held in Kyoto, Japan, in October 2016. The 296 full papers presented were carefully reviewed and selected from 431 submissions. The 4 volumes are organized in topical sections on deep and reinforcement learning; big data analysis; neural data analysis; robotics and control; bio-inspired/energy efficient information processing; whole brain architecture; neurodynamics; bioinformatics; biomedical engineering; data mining and cybersecurity workshop; machine learning; neuromorphic hardware; sensory perception; pattern recognition; social networks; brain-machine interface; computer vision; time series analysis; data-driven approach for extracting latent features; topological and graph based clustering methods; computational intelligence; data mining; deep neural networks; computational and cognitive neurosciences; theory and algorithms.
Book Synopsis Statistical Mechanics of Neural Networks by : Haiping Huang
Download or read book Statistical Mechanics of Neural Networks written by Haiping Huang and published by Springer Nature. This book was released on 2022-01-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights a comprehensive introduction to the fundamental statistical mechanics underneath the inner workings of neural networks. The book discusses in details important concepts and techniques including the cavity method, the mean-field theory, replica techniques, the Nishimori condition, variational methods, the dynamical mean-field theory, unsupervised learning, associative memory models, perceptron models, the chaos theory of recurrent neural networks, and eigen-spectrums of neural networks, walking new learners through the theories and must-have skillsets to understand and use neural networks. The book focuses on quantitative frameworks of neural network models where the underlying mechanisms can be precisely isolated by physics of mathematical beauty and theoretical predictions. It is a good reference for students, researchers, and practitioners in the area of neural networks.
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 World Scientific Publishing Company Incorporated. This book was released on 1987 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors give a masterly account of the work on the Sherrington-Kirkpatrick model in the first 85 pages. Such a summary cannot be found elsewhere, and much of our current understanding of the problem is due to the authors of this book and their collaborators".This is an important book, which every physics library should have. It is also good reading for anyone who wants to know about these aspects of the spin glass problem, and why "replica symmetry breaking'' and "ultrametricity'' may be important".Physics Today, 1988" a very useful source of relevant information on the progress achieved by theoretical physicists in the field. It can be helpful also to mathematicians trying to develop a mathematically rigorous counterpart of this theory".EMS, 1999
Book Synopsis Advances in Condensed Matter and Statistical Physics by : Elka Korutcheva
Download or read book Advances in Condensed Matter and Statistical Physics written by Elka Korutcheva and published by Nova Publishers. This book was released on 2004 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent results in systems whose evolutions are dominated by fluctuations, driven systems in which the way to dissipate driving forces is relevant, and systems in which disorder induces highly non-trivial dynamics leading naturally to questions of computational complexity. Topics of the 14 papers include multiplicative noise in non-equilibrium phase transitions, the stochastic population dynamics of spiking neurons, anomalous velocity distributions in elastic Maxwell gases, universality issues in surface kinetic roughening of thin solid films, and multi-state neural networks based upon spin glasses. Some of the chapters have appeared in the arXiv.org database. No information is given about the authors. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
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 Statistical Mechanics Made Simple (2nd Edition) by : Daniel C Mattis
Download or read book Statistical Mechanics Made Simple (2nd Edition) written by Daniel C Mattis and published by World Scientific Publishing Company. This book was released on 2008-03-04 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition extends and improves on the first, already an acclaimed and original treatment of statistical concepts insofar as they impact theoretical physics and form the basis of modern thermodynamics. This book illustrates through myriad examples the principles and logic used in extending the simple laws of idealized Newtonian physics and quantum physics into the real world of noise and thermal fluctuations.In response to the many helpful comments by users of the first edition, important features have been added in this second, new and revised edition. These additions allow a more coherent picture of thermal physics to emerge. Benefiting from the expertise of the new co-author, the present edition includes a detailed exposition — occupying two separate chapters — of the renormalization group and Monte-Carlo numerical techniques, and of their applications to the study of phase transitions. Additional figures have been included throughout, as have new problems. A new Appendix presents fully worked-out solutions to representative problems; these illustrate various methodologies that are peculiar to physics at finite temperatures, that is, to statistical physics.This new edition incorporates important aspects of many-body theory and of phase transitions. It should better serve the contemporary student, while offering to the instructor a wider selection of topics from which to craft lectures on topics ranging from thermodynamics and random matrices to thermodynamic Green functions and critical exponents, from the propagation of sound in solids and fluids to the nature of quasiparticles in quantum liquids and in transfer matrices.
