Randomized Algorithms Approximation Generation And Counting

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Randomized Algorithms Approximation Generation And Counting

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Author : Russ Bubley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Randomized Algorithms Approximation Generation And Counting written by Russ Bubley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.

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.

Algorithms For Random Generation And Counting A Markov Chain Approach

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Author : A. Sinclair
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-02

Algorithms For Random Generation And Counting A Markov Chain Approach written by A. Sinclair and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02 with Computers categories.

This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.

Randomized Algorithms

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Author : Russ Howard Bubley
language : en
Publisher:
Release Date : 1998

Randomized Algorithms written by Russ Howard Bubley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Algorithms For Random Generation And Counting A Markov Chain Approach

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Author : A. Sinclair
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Algorithms For Random Generation And Counting A Markov Chain Approach written by A. Sinclair and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.

Randomized Algorithms

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Author : Rajeev Motwani
language : en
Publisher: Cambridge University Press
Release Date : 1995-08-25

Randomized Algorithms written by Rajeev Motwani and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-25 with Computers categories.

This book presents basic tools from probability theory used in algorithmic applications, with concrete examples.

Surveys In Combinatorics 1999

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Author : John Douglas Lamb
language : en
Publisher: Cambridge University Press
Release Date : 1999

Surveys In Combinatorics 1999 written by John Douglas Lamb and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Combinatorial analysis categories.

Up-to-date resource on combinatorics for graduate students and researchers.

Advances In Randomized Parallel Computing

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Author : Panos M. Pardalos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Advances In Randomized Parallel Computing written by Panos M. Pardalos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Computers categories.

The technique of randomization has been employed to solve numerous prob lems of computing both sequentially and in parallel. Examples of randomized algorithms that are asymptotically better than their deterministic counterparts in solving various fundamental problems abound. Randomized algorithms have the advantages of simplicity and better performance both in theory and often in practice. This book is a collection of articles written by renowned experts in the area of randomized parallel computing. A brief introduction to randomized algorithms In the aflalysis of algorithms, at least three different measures of performance can be used: the best case, the worst case, and the average case. Often, the average case run time of an algorithm is much smaller than the worst case. 2 For instance, the worst case run time of Hoare's quicksort is O(n ), whereas its average case run time is only O( n log n). The average case analysis is conducted with an assumption on the input space. The assumption made to arrive at the O( n log n) average run time for quicksort is that each input permutation is equally likely. Clearly, any average case analysis is only as good as how valid the assumption made on the input space is. Randomized algorithms achieve superior performances without making any assumptions on the inputs by making coin flips within the algorithm. Any analysis done of randomized algorithms will be valid for all p0:.sible inputs.

Computer Science Handbook

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Author : Allen B. Tucker
language : en
Publisher: CRC Press
Release Date : 2004-06-28

Computer Science Handbook written by Allen B. Tucker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-28 with Computers categories.

When you think about how far and fast computer science has progressed in recent years, it's not hard to conclude that a seven-year old handbook may fall a little short of the kind of reference today's computer scientists, software engineers, and IT professionals need. With a broadened scope, more emphasis on applied computing, and more than 70 chap

Proceedings Of The Sixth Annual Acm Siam Symposium On Discrete Algorithms

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Author :
language : en
Publisher: SIAM
Release Date : 1995-01-01

Proceedings Of The Sixth Annual Acm Siam Symposium On Discrete Algorithms written by and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Computers categories.

The proceedings of the January 1995 symposium, sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics, comprise 70 papers. Among the topics: on-line approximate list indexing with applications; finding subsets maximizing minimum structures; register allocation in structured programs; and splay trees for data compression. No index. Annotation copyright by Book News, Inc., Portland, OR

Stacs 2000

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Author : Horst Reichel
language : en
Publisher: Springer
Release Date : 2007-08-03

Stacs 2000 written by Horst Reichel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-03 with Computers categories.

This book constitutes the refereed proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2000, held in Lille, France in February 2000. The 51 revised full papers presented together with the three invited papers were carefully reviewed and selected from a total of 146 submissions on the basis of some 700 reviewers' reports. The papers address fundamental issues from all current areas of theoretical computer science including algorithms, data structures, automata, formal languages, complexity, verification, logic, cryptography, graph theory, optimization, etc.