Computational Complexity And Statistical Physics

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Computational Complexity and Statistical Physics

Allon Percus,Gabriel Istrate,Cristopher Moore
Computational Complexity and Statistical Physics Book PDF

Author : Allon Percus,Gabriel Istrate,Cristopher Moore
Publisher : OUP USA
Page : 386 pages
File Size : 43,6 Mb
Release : 2006-02-23
Category : Computers
ISBN : 019517738X

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Computational Complexity and Statistical Physics by Allon Percus,Gabriel Istrate,Cristopher Moore Pdf

Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.

Computational Complexity and Statistical Physics

Allon Percus,Gabriel Istrate,Cristopher Moore
Computational Complexity and Statistical Physics Book PDF

Author : Allon Percus,Gabriel Istrate,Cristopher Moore
Publisher : Oxford University Press, USA
Page : 394 pages
File Size : 52,7 Mb
Release : 2006
Category : Computers
ISBN : 0195177371

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Computational Complexity and Statistical Physics by Allon Percus,Gabriel Istrate,Cristopher Moore Pdf

Computer science and physics have been closely linked since the birth of modern computing. In recent years, an interdisciplinary area has blossomed at the junction of these fields, connecting insights from statistical physics with basic computational challenges. Researchers have successfully applied techniques from the study of phase transitions to analyze NP-complete problems such as satisfiability and graph coloring. This is leading to a new understanding of the structure of these problems, and of how algorithms perform on them. Computational Complexity and Statistical Physics will serve as a standard reference and pedagogical aid to statistical physics methods in computer science, with a particular focus on phase transitions in combinatorial problems. Addressed to a broad range of readers, the book includes substantial background material along with current research by leading computer scientists, mathematicians, and physicists. It will prepare students and researchers from all of these fields to contribute to this exciting area.

Statistical Mechanics

James Sethna
Statistical Mechanics Book PDF

Author : James Sethna
Publisher : OUP Oxford
Page : 374 pages
File Size : 50,5 Mb
Release : 2006-04-07
Category : Science
ISBN : 9780191566219

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Statistical Mechanics by James Sethna Pdf

In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.

Measures of Complexity

Luca Peliti,A. Vulpiani
Measures of Complexity Book PDF

Author : Luca Peliti,A. Vulpiani
Publisher : Unknown
Page : 168 pages
File Size : 44,8 Mb
Release : 1988
Category : Computational complexity
ISBN : UOM:39015017323455

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Measures of Complexity by Luca Peliti,A. Vulpiani Pdf

Complexity is a puzzling and important concept in contemporary research in many disciplines. This book addresses the problem of defining complexity by carefully analysing in what sense complexity means measure in such areas as the theory of dynamical systems, condensed matter physics, ecology, immunology and the theory of neural networks. The information content of complexity is studied and similarities and differences in the various concepts of complexity are highlighted, sometimes provocatively. The book could open the way to finding a paradigm of complexity, and should become a standard reference for a wide audience of researchers in the physical and biological sciences.

Information, Physics, and Computation

Marc Mézard,Andrea Montanari
Information Physics and Computation Book PDF

Author : Marc Mézard,Andrea Montanari
Publisher : Oxford University Press
Page : 584 pages
File Size : 42,5 Mb
Release : 2009-01-22
Category : Computers
ISBN : 9780198570837

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Information, Physics, and Computation by Marc Mézard,Andrea Montanari Pdf

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.

Computational Complexity

Sanjeev Arora,Boaz Barak
Computational Complexity Book PDF

Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 42,5 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780521424264

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Computational Complexity by Sanjeev Arora,Boaz Barak Pdf

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Combinatorics and Complexity of Partition Functions

Alexander Barvinok
Combinatorics and Complexity of Partition Functions Book PDF

Author : Alexander Barvinok
Publisher : Springer
Page : 303 pages
File Size : 46,8 Mb
Release : 2017-03-13
Category : Mathematics
ISBN : 9783319518299

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Combinatorics and Complexity of Partition Functions by Alexander Barvinok Pdf

Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial structure of complicated systems. The main focus of the book is on efficient ways to compute (approximate) various partition functions, such as permanents, hafnians and their higher-dimensional versions, graph and hypergraph matching polynomials, the independence polynomial of a graph and partition functions enumerating 0-1 and integer points in polyhedra, which allows one to make algorithmic advances in otherwise intractable problems. The book unifies various, often quite recent, results scattered in the literature, concentrating on the three main approaches: scaling, interpolation and correlation decay. The prerequisites include moderate amounts of real and complex analysis and linear algebra, making the book accessible to advanced math and physics undergraduates.

Perspectives And Challenges In Statistical Physics And Complex Systems For The Next Decade

Gandhimohan M Viswanathan,Ernesto P Raposo,Marcos Gomes Eleuterio Da Luz
Perspectives And Challenges In Statistical Physics And Complex Systems For The Next Decade Book PDF

Author : Gandhimohan M Viswanathan,Ernesto P Raposo,Marcos Gomes Eleuterio Da Luz
Publisher : World Scientific
Page : 348 pages
File Size : 45,9 Mb
Release : 2014-04-03
Category : Science
ISBN : 9789814590150

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Perspectives And Challenges In Statistical Physics And Complex Systems For The Next Decade by Gandhimohan M Viswanathan,Ernesto P Raposo,Marcos Gomes Eleuterio Da Luz Pdf

Statistical Physics (SP) has followed an unusual evolutionary path in science. Originally aiming to provide a fundamental basis for another important branch of Physics, namely Thermodynamics, SP gradually became an independent field of research in its own right. But despite more than a century of steady progress, there are still plenty of challenges and open questions in the SP realm.In fact, the area is still rapidly evolving, in contrast to other branches of science, which already have well defined scopes and borderlines of applicability. This difference is due to the steadily expanding number of applications, as well as ongoing improvements and revisions of concepts and methods in SP. Such particular aspects of SP lend further significance and timeliness to this book about perspectives and trends within the field.Here, the aim is to present the state-of-the-art vision of expert researchers who study SP and Complex Systems. Although a comprehensive treatment is well beyond what can be treated in a single volume, the book provides a snapshot of the field today, as well as a glimpse of where the field may be heading during the next decade.The book is aimed at graduate and advanced undergraduate physics students, as well as researchers who work with SP, Complex Systems, Computational Physics, Biological Physics and related topics. It addresses questions such as: What insights can be gained from recent advances in the study of traditional problems in SP? How can SP help us understand problems that arise in the biological sciences and in the study of complex systems? How can new problems be formulated using the ‘language’ of SP? In this way, it attempts to document partial progress in answering these and related questions.The book also commemorates the occasion of the 70th anniversary in 2011 of two important physicists and friends who dedicated their lives to the understanding of nature in general and to the development of Statistical Physics and the science of Complexity in particular: Liacir Lucena and H Eugene Stanley.

From Statistical Physics to Statistical Inference and Back

P. Grassberger,J.P. Nadal
From Statistical Physics to Statistical Inference and Back Book PDF

Author : P. Grassberger,J.P. Nadal
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401110686

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From Statistical Physics to Statistical Inference and Back by P. Grassberger,J.P. Nadal Pdf

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.

Statistical Mechanics: Entropy, Order Parameters, and Complexity

James P. Sethna
Statistical Mechanics Entropy Order Parameters and Complexity Book PDF

Author : James P. Sethna
Publisher : Oxford University Press, USA
Page : 493 pages
File Size : 53,7 Mb
Release : 2021-01-26
Category : Mathematics
ISBN : 9780198865247

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Statistical Mechanics: Entropy, Order Parameters, and Complexity by James P. Sethna Pdf

A new and updated edition of the successful Statistical Mechanics: Entropy, Order Parameters and Complexity from 2006. Statistical mechanics is a core topic in modern physics. Innovative, fresh introduction to the broad range of topics of statistical mechanics today, by brilliant teacher and renowned researcher.

Foundations of Complex Systems

G. Nicolis,Cathy Nicolis
Foundations of Complex Systems Book PDF

Author : G. Nicolis,Cathy Nicolis
Publisher : World Scientific
Page : 343 pages
File Size : 47,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812700438

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Foundations of Complex Systems by G. Nicolis,Cathy Nicolis Pdf

Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.

Reviews of Nonlinear Dynamics and Complexity

Heinz Georg Schuster
Reviews of Nonlinear Dynamics and Complexity Book PDF

Author : Heinz Georg Schuster
Publisher : John Wiley & Sons
Page : 260 pages
File Size : 54,5 Mb
Release : 2010-07-06
Category : Science
ISBN : 352763097X

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Reviews of Nonlinear Dynamics and Complexity by Heinz Georg Schuster Pdf

Written in a style that breaks the barriers between the disciplines, this monograph enables researchers from life science, physics, engineering, or chemistry to access the most recent results in a common language. The resulting review character of this project sets it apart from specialized journals, and allows each volume to respond quickly to new developments. This third volume contains new topics ranging from chaotic computing, via random dice tossing and stochastic limit-cycle oscillators, to a number theoretic example of self-organized criticality, wave localization in complex networks and anomalous diffusion. A first-class board of international scientists advises the editor, such that the carefully selected and invited contributions represent the latest and most relevant findings.

Statistical Physics, Optimization, Inference, and Message-Passing Algorithms

Florent Krzakala,Federico Ricci-Tersenghi,Lenka Zdeborova,Eric W. Tramel,Riccardo Zecchina,Leticia F. Cugliandolo
Statistical Physics Optimization Inference and Message Passing Algorithms Book PDF

Author : Florent Krzakala,Federico Ricci-Tersenghi,Lenka Zdeborova,Eric W. Tramel,Riccardo Zecchina,Leticia F. Cugliandolo
Publisher : Oxford University Press
Page : 319 pages
File Size : 42,6 Mb
Release : 2016
Category : Science
ISBN : 9780198743736

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Statistical Physics, Optimization, Inference, and Message-Passing Algorithms by Florent Krzakala,Federico Ricci-Tersenghi,Lenka Zdeborova,Eric W. Tramel,Riccardo Zecchina,Leticia F. Cugliandolo Pdf

This text gathers the lecture notes of the Les Houches Summer School that was held in October 2013 for an audience of advanced graduate students and post-doctoral fellows in statistical physics, theoretical physics, machine learning, and computer science.

The Computational Complexity of Machine Learning

Michael J. Kearns
The Computational Complexity of Machine Learning Book PDF

Author : Michael J. Kearns
Publisher : MIT Press
Page : 194 pages
File Size : 44,6 Mb
Release : 1990
Category : Computers
ISBN : 0262111527

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The Computational Complexity of Machine Learning by Michael J. Kearns Pdf

We also give algorithms for learning powerful concept classes under the uniform distribution, and give equivalences between natural models of efficient learnability. This thesis also includes detailed definitions and motivation for the distribution-free model, a chapter discussing past research in this model and related models, and a short list of important open problems."

Advances in Condensed Matter and Statistical Physics

Elka Korutcheva
Advances in Condensed Matter and Statistical Physics Book PDF

Author : Elka Korutcheva
Publisher : Nova Publishers
Page : 394 pages
File Size : 43,8 Mb
Release : 2004
Category : Science
ISBN : 1590338995

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Advances in Condensed Matter and Statistical Physics by Elka Korutcheva Pdf

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).