Computational Complexity And Statistical Physics

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Computational Complexity and Statistical Physics

Author : Allon Percus
Publisher : OUP USA
ISBN 13 : 9780195177381
Total Pages : 386 pages
Book Rating : 4.1/5 (773 download)

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Book Synopsis Computational Complexity and Statistical Physics by : Allon Percus

Download or read book Computational Complexity and Statistical Physics written by Allon Percus and published by OUP USA. This book was released on 2006-02-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : James Sethna
Publisher : OUP Oxford
ISBN 13 : 0191566217
Total Pages : 374 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Statistical Mechanics by : James Sethna

Download or read book Statistical Mechanics written by James Sethna and published by OUP Oxford. This book was released on 2006-04-07 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Complexity and Statistical Physics

Author : Allon Percus
Publisher : Oxford University Press, USA
ISBN 13 : 9780195177374
Total Pages : 394 pages
Book Rating : 4.1/5 (773 download)

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Book Synopsis Computational Complexity and Statistical Physics by : Allon Percus

Download or read book Computational Complexity and Statistical Physics written by Allon Percus and published by Oxford University Press, USA. This book was released on 2006 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Algorithms and Computations

Author : Werner Krauth
Publisher : Oxford University Press
ISBN 13 : 0198515367
Total Pages : 355 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Statistical Mechanics: Algorithms and Computations by : Werner Krauth

Download or read book Statistical Mechanics: Algorithms and Computations written by Werner Krauth and published by Oxford University Press. This book was released on 2006-09-14 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains more than one hundred pseudocode programs and close to 300 figures, line drawings, and tables contained in the book.

Information, Physics, and Computation

Author : Marc Mézard
Publisher : Oxford University Press
ISBN 13 : 019857083X
Total Pages : 584 pages
Book Rating : 4.1/5 (985 download)

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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.

The Computational Complexity of Machine Learning

Author : Michael J. Kearns
Publisher : MIT Press
ISBN 13 : 9780262111522
Total Pages : 194 pages
Book Rating : 4.1/5 (115 download)

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Book Synopsis The Computational Complexity of Machine Learning by : Michael J. Kearns

Download or read book The Computational Complexity of Machine Learning written by Michael J. Kearns and published by MIT Press. This book was released on 1990 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Computational Complexity

Author : Sanjeev Arora
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

From Statistical Physics to Statistical Inference and Back

Author : P. Grassberger
Publisher : Springer Science & Business Media
ISBN 13 : 9401110689
Total Pages : 351 pages
Book Rating : 4.4/5 (11 download)

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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.

Spin Glasses and Complexity

Author : Daniel L. Stein
Publisher : Princeton University Press
ISBN 13 : 1400845637
Total Pages : 336 pages
Book Rating : 4.4/5 (8 download)

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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.

Statistical Mechanics

Author : James Sethna
Publisher : Oxford University Press
ISBN 13 : 019856676X
Total Pages : 372 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Statistical Mechanics by : James Sethna

Download or read book Statistical Mechanics written by James Sethna and published by Oxford University Press. This book was released on 2006-04-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sethna distills the core ideas of statistical mechanics to make room for new advances important to information theory, complexity, and modern biology. He explores everything from chaos through to life at the end of the universe.

Measures of Complexity

Author : Luca Peliti
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Measures of Complexity by : Luca Peliti

Download or read book Measures of Complexity written by Luca Peliti and published by . This book was released on 1988 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Statistical Mechanics

Author : W.G. Hoover
Publisher : Elsevier
ISBN 13 : 0444596593
Total Pages : 330 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Computational Statistical Mechanics by : W.G. Hoover

Download or read book Computational Statistical Mechanics written by W.G. Hoover and published by Elsevier. This book was released on 2012-12-02 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Statistical Mechanics describes the use of fast computers to simulate the equilibrium and nonequilibrium properties of gases, liquids, and solids at, and away from equilibrium. The underlying theory is developed from basic principles and illustrated by applying it to the simplest possible examples. Thermodynamics, based on the ideal gas thermometer, is related to Gibb's statistical mechanics through the use of Nosé-Hoover heat reservoirs. These reservoirs use integral feedback to control temperature. The same approach is carried through to the simulation and analysis of nonequilibrium mass, momentum, and energy flows. Such a unified approach makes possible consistent mechanical definitions of temperature, stress, and heat flux which lead to a microscopic demonstration of the Second Law of Thermodynamics directly from mechanics. The intimate connection linking Lyapunov-unstable microscopic motions to macroscopic dissipative flows through multifractal phase-space structures is illustrated with many examples from the recent literature. The book is well-suited for undergraduate courses in advanced thermodynamics, statistical mechanic and transport theory, and graduate courses in physics and chemistry.

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

Author : Gandhimohan M Viswanathan
Publisher : World Scientific
ISBN 13 : 9814590150
Total Pages : 348 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Perspectives And Challenges In Statistical Physics And Complex Systems For The Next Decade by : Gandhimohan M Viswanathan

Download or read book Perspectives And Challenges In Statistical Physics And Complex Systems For The Next Decade written by Gandhimohan M Viswanathan and published by World Scientific. This book was released on 2014-04-03 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Statistical Physics of Synchronization

Author : Shamik Gupta
Publisher : Springer
ISBN 13 : 3319966642
Total Pages : 121 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Statistical Physics of Synchronization by : Shamik Gupta

Download or read book Statistical Physics of Synchronization written by Shamik Gupta and published by Springer. This book was released on 2018-08-28 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and discusses the analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics. While such systems have been mostly studied using dynamical system theory, the book underlines the usefulness of the statistical physics approach to obtain insightful results in a number of representative dynamical settings. Although it is intractable to follow the dynamics of a particular initial condition, statistical physics allows to derive exact analytical results in the limit of an infinite number of interacting units. Chapter one discusses dynamical characterization of individual units of synchronizing systems as well as of their interaction and summarizes the relevant tools of statistical physics. The latter are then used in chapters two and three to discuss respectively synchronizing systems with either a first- or a second-order evolution in time. This book provides a timely introduction to the subject and is meant for the uninitiated as well as for experienced researchers working in areas of nonlinear dynamics and chaos, statistical physics, and complex systems.

Statistical Complexity

Author : K.D. Sen
Publisher : Springer Science & Business Media
ISBN 13 : 9048138906
Total Pages : 304 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Statistical Complexity by : K.D. Sen

Download or read book Statistical Complexity written by K.D. Sen and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The understanding of electron density as the carrier of all the information of a multielectronic system is implicit in the theorems of density functional theory. Information theoretical based measures giving a quantitative understanding of statistical complexity of such systems is shaping up as a new area of research in chemical physics. This book is the first monograph of its kind covering the aspects of complexity measure in atoms and molecules.

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

Author : Florent Krzakala
Publisher : Oxford University Press
ISBN 13 : 0198743734
Total Pages : 319 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Statistical Physics, Optimization, Inference, and Message-Passing Algorithms by : Florent Krzakala

Download or read book Statistical Physics, Optimization, Inference, and Message-Passing Algorithms written by Florent Krzakala and published by Oxford University Press. This book was released on 2016 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.