Computational Complexity Of Counting And Sampling

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Computational Complexity of Counting and Sampling

Author : Istvan Miklos
Publisher : CRC Press
ISBN 13 : 1351971603
Total Pages : 292 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Computational Complexity of Counting and Sampling by : Istvan Miklos

Download or read book Computational Complexity of Counting and Sampling written by Istvan Miklos and published by CRC Press. This book was released on 2019-02-21 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the following topics: Counting and sampling problems that are solvable in polynomial running time, including holographic algorithms; #P-complete counting problems; and approximation algorithms for counting and sampling. First, it opens with the basics, such as the theoretical computer science background and dynamic programming algorithms. Later, the book expands its scope to focus on advanced topics, like stochastic approximations of counting discrete mathematical objects and holographic algorithms. After finishing the book, readers will agree that the subject is well covered, as the book starts with the basics and gradually explores the more complex aspects of the topic. Features: Each chapter includes exercises and solutions Ideally written for researchers and scientists Covers all aspects of the topic, beginning with a solid introduction, before shifting to computational complexity’s more advanced features, with a focus on counting and sampling

Counting, Sampling and Integrating: Algorithms and Complexity

Author : Mark Jerrum
Publisher : Birkhäuser
ISBN 13 : 3034880057
Total Pages : 112 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Counting, Sampling and Integrating: Algorithms and Complexity by : Mark Jerrum

Download or read book Counting, Sampling and Integrating: Algorithms and Complexity written by Mark Jerrum and published by Birkhäuser. This book was released on 2012-12-06 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of these notes is counting and related topics, viewed from a computational perspective. A major theme of the book is the idea of accumulating information about a set of combinatorial structures by performing a random walk on those structures. These notes will be of value not only to teachers of postgraduate courses on these topics, but also to established researchers. For the first time this body of knowledge has been brought together in a single volume.

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.

Computational Complexity

Author : Sanjeev Arora
Publisher : Cambridge University Press
ISBN 13 : 1139477366
Total Pages : 519 pages
Book Rating : 4.1/5 (394 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 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.

Randomization and Approximation Techniques in Computer Science

Author : Jose D.P. Rolim
Publisher : Springer
ISBN 13 : 3540457267
Total Pages : 284 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Randomization and Approximation Techniques in Computer Science by : Jose D.P. Rolim

Download or read book Randomization and Approximation Techniques in Computer Science written by Jose D.P. Rolim and published by Springer. This book was released on 2003-08-03 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2002, held in Cambridge, MA, USA in September 2002. The 21 revised full papers presented were carefully reviewed and selected from 48 submissions. Among the topics addressed are coding, geometric computations, graph colorings, random hypergraphs, graph computations, lattice computations, proof systems, probabilistic algorithms, derandomization, constraint satisfaction, and web graphs analysis.

Data Mining and Big Data

Author : Ying Tan
Publisher : Springer Nature
ISBN 13 : 9811989915
Total Pages : 474 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Data Mining and Big Data by : Ying Tan

Download or read book Data Mining and Big Data written by Ying Tan and published by Springer Nature. This book was released on 2023-01-18 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set, CCIS 1744 and CCIS 1745 book constitutes the 7th International Conference, on Data Mining and Big Data, DMBD 2022, held in Beijing, China, in November 21–24, 2022. The 62 full papers presented in this two-volume set included in this book were carefully reviewed and selected from 135 submissions. The papers present the latest research on advantages in theories, technologies, and applications in data mining and big data. The volume covers many aspects of data mining and big data as well as intelligent computing methods applied to all fields of computer science, machine learning, data mining and knowledge discovery, data science, etc.

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 : Oded Goldreich
Publisher : Cambridge University Press
ISBN 13 : 9780521884730
Total Pages : 632 pages
Book Rating : 4.8/5 (847 download)

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Book Synopsis Computational Complexity by : Oded Goldreich

Download or read book Computational Complexity written by Oded Goldreich and published by Cambridge University Press. This book was released on 2008-04-28 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive perspective to modern topics in complexity theory, which is a central field of the theoretical foundations of computer science. It addresses the looming question of what can be achieved within a limited amount of time with or without other limited natural computational resources. Can be used as an introduction for advanced undergraduate and graduate students as either a textbook or for self-study, or to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems.

Handbook of Satisfiability

Author : A. Biere
Publisher : IOS Press
ISBN 13 : 1643681613
Total Pages : 1486 pages
Book Rating : 4.6/5 (436 download)

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Book Synopsis Handbook of Satisfiability by : A. Biere

Download or read book Handbook of Satisfiability written by A. Biere and published by IOS Press. This book was released on 2021-05-05 with total page 1486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion. This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter. This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work. Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science." Donald Knuth, 1974 ACM Turing Award Recipient: "SAT is evidently a killer app, because it is key to the solution of so many other problems." Stephen Cook, 1982 ACM Turing Award Recipient: "The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"

Parameterized and Exact Computation

Author : Hans L. Bodlaender
Publisher : Springer
ISBN 13 : 3540391010
Total Pages : 279 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Parameterized and Exact Computation by : Hans L. Bodlaender

Download or read book Parameterized and Exact Computation written by Hans L. Bodlaender and published by Springer. This book was released on 2006-09-14 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here are the refereed proceedings of the Second International Workshop on Parameterized and Exact Computation, IWPEC 2006, held in the context of the combined conference ALGO 2006. The book presents 23 revised full papers together with 2 invited lectures. Coverage includes research in all aspects of parameterized and exact computation and complexity, including new techniques for the design and analysis of parameterized and exact algorithms, parameterized complexity theory, and more.

Complexity Dichotomies for Counting Problems

Author : Jin-Yi Cai
Publisher : Cambridge University Press
ISBN 13 : 1107062373
Total Pages : 473 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Complexity Dichotomies for Counting Problems by : Jin-Yi Cai

Download or read book Complexity Dichotomies for Counting Problems written by Jin-Yi Cai and published by Cambridge University Press. This book was released on 2017-11-16 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1. Boolean domain

Discovery Science

Author : Petra Kralj Novak
Publisher : Springer Nature
ISBN 13 : 3030337782
Total Pages : 555 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Discovery Science by : Petra Kralj Novak

Download or read book Discovery Science written by Petra Kralj Novak and published by Springer Nature. This book was released on 2019-10-18 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 22nd International Conference on Discovery Science, DS 2019, held in Split, Coratia, in October 2019. The 21 full and 19 short papers presented together with 3 abstracts of invited talks in this volume were carefully reviewed and selected from 63 submissions. The scope of the conference includes the development and analysis of methods for discovering scientific knowledge, coming from machine learning, data mining, intelligent data analysis, big data analysis as well as their application in various scientific domains. The papers are organized in the following topical sections: Advanced Machine Learning; Applications; Data and Knowledge Representation; Feature Importance; Interpretable Machine Learning; Networks; Pattern Discovery; and Time Series.

Integer Programming and Combinatorial Optimization

Author : Jens Vygen
Publisher : Springer Nature
ISBN 13 : 3031598350
Total Pages : 474 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Integer Programming and Combinatorial Optimization by : Jens Vygen

Download or read book Integer Programming and Combinatorial Optimization written by Jens Vygen and published by Springer Nature. This book was released on with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Randomized Algorithms: Approximation, Generation, and Counting

Author : Russ Bubley
Publisher : Springer Science & Business Media
ISBN 13 : 1447106954
Total Pages : 167 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Randomized Algorithms: Approximation, Generation, and Counting by : Russ Bubley

Download or read book Randomized Algorithms: Approximation, Generation, and Counting written by Russ Bubley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomized Algorithms discusses two problems of fine pedigree: counting and generation, both of which are of fundamental importance to discrete mathematics and probability. When asking questions like "How many are there?" and "What does it look like on average?" of families of combinatorial structures, answers are often difficult to find -- we can be blocked by seemingly intractable algorithms. Randomized Algorithms shows how to get around the problem of intractability with the Markov chain Monte Carlo method, as well as highlighting the method's natural limits. It uses the technique of coupling before introducing "path coupling" a new technique which radically simplifies and improves upon previous methods in the area.

Modeling Decisions for Artificial Intelligence

Author : Vicenc Torra
Publisher : Springer
ISBN 13 : 3319232401
Total Pages : 243 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Modeling Decisions for Artificial Intelligence by : Vicenc Torra

Download or read book Modeling Decisions for Artificial Intelligence written by Vicenc Torra and published by Springer. This book was released on 2015-08-31 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2015, held in Skövde, Sweden, in September 2015. The 18 revised full papers presented were carefully reviewed and selected from 38 submissions. They discuss theory and tools for modeling decisions, as well as applications that encompass decision making processes and information fusion techniques.

WALCOM: Algorithms and Computation

Author : M. Sohel Rahman
Publisher : Springer
ISBN 13 : 3319751727
Total Pages : 284 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis WALCOM: Algorithms and Computation by : M. Sohel Rahman

Download or read book WALCOM: Algorithms and Computation written by M. Sohel Rahman and published by Springer. This book was released on 2018-02-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th International Workshop on Algorithms and Computation, WALCOM 2018, held in Dhaka, Bangladesh, in March 2018. The 22 full papers presented were carefully reviewed and selected from 50 submissions. The papers cover diverse areas of algorithms and computation, such as approximation algorithms, computational geometry, combinatorial algorithms, computational biology, computational complexity, data structures, graph and network algorithms, and online algorithms.

Computing and Combinatorics

Author : Zhipeng Cai
Publisher : Springer
ISBN 13 : 3319087835
Total Pages : 692 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Computing and Combinatorics by : Zhipeng Cai

Download or read book Computing and Combinatorics written by Zhipeng Cai and published by Springer. This book was released on 2014-07-05 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Computing and Combinatorics, COCOON 2014, held in Atlanta, GA, USA, in August 2014. The 51 revised full papers presented were carefully reviewed and selected from 110 submissions. There was a co-organized workshop on computational social networks (CSoNet 2014) where 8 papers were accepted. The papers cover the following topics: sampling and randomized methods; logic, algebra and automata; database and data structures; parameterized complexity and algorithms; computational complexity; computational biology and computational geometry; approximation algorithm; graph theory and algorithms; game theory and cryptography; scheduling algorithms and circuit complexity and CSoNet.