Average Case Analysis Of Algorithms On Sequences
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Average Case Analysis Of Algorithms On Sequences
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Author : Wojciech Szpankowski
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-14
Average Case Analysis Of Algorithms On Sequences written by Wojciech Szpankowski and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-14 with Mathematics categories.
A timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology. It describes methods employed in average case analysis of algorithms, combining both analytical and probabilistic tools in a single volume. * Tools are illustrated through problems on words with applications to molecular biology, data compression, security, and pattern matching. * Includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusion principles, first and second moment methods, subadditive ergodic theorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transform and its applications, and analytic poissonization and depoissonization. * Written by an established researcher with a strong international reputation in the field.
Beyond The Worst Case Analysis Of Algorithms
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Author : Tim Roughgarden
language : en
Publisher: Cambridge University Press
Release Date : 2021-01-14
Beyond The Worst Case Analysis Of Algorithms written by Tim Roughgarden 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 2021-01-14 with Computers categories.
Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
The Sequence Algorithms Handbook
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-10
The Sequence Algorithms Handbook written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-10 with Computers categories.
This book provides a comprehensive introduction to the average case analysis of algorithms on sequences, combining both analytical and probabilistic tools to provide a unified framework for the analysis of algorithms on words. Written in a clear and accessible style, it is suitable for both graduate students and researchers in the field. The book begins by introducing the basic concepts of words and algorithms on words, covering topics such as string matching algorithms, pattern matching algorithms, compression algorithms, and data structures for words. It then introduces probabilistic models for words, including random words, Markov chains, hidden Markov models, context-free grammars, and Bayesian networks. The book also introduces analytical models for words, including asymptotic analysis, generating functions, Mellin transforms, the inclusion-exclusion principle, and large deviations. It then introduces the subadditive ergodic theorem and its applications to data compression, pattern matching, computational molecular biology, and security. The book also covers the inclusion-exclusion principle and its applications, first and second moment methods and their applications, complex asymptotic methods and their applications, analytic Poissonization and depoissonization and their applications, and elements of information theory and their applications. Finally, the book discusses applications of average case analysis of algorithms on sequences to data compression, pattern matching, computational molecular biology, security, and other areas. With its comprehensive coverage of the topic, clear and accessible writing style, and wealth of applications, this book is an essential resource for anyone working in the field of average case analysis of algorithms on sequences. If you like this book, write a review!
Algorithms On Strings Trees And Sequences
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Author : Dan Gusfield
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-28
Algorithms On Strings Trees And Sequences written by Dan Gusfield 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 1997-05-28 with Computers categories.
String algorithms are a traditional area of study in computer science. In recent years their importance has grown dramatically with the huge increase of electronically stored text and of molecular sequence data (DNA or protein sequences) produced by various genome projects. This book is a general text on computer algorithms for string processing. In addition to pure computer science, the book contains extensive discussions on biological problems that are cast as string problems, and on methods developed to solve them. It emphasises the fundamental ideas and techniques central to today's applications. New approaches to this complex material simplify methods that up to now have been for the specialist alone. With over 400 exercises to reinforce the material and develop additional topics, the book is suitable as a text for graduate or advanced undergraduate students in computer science, computational biology, or bio-informatics. Its discussion of current algorithms and techniques also makes it a reference for professionals.
Combinatorial Pattern Matching
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Author : Suleyman C. Sahinalp
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-22
Combinatorial Pattern Matching written by Suleyman C. Sahinalp 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 2004-06-22 with Computers categories.
This book constitutes the refereed proceedings of the 15th Annual Symposium on Combinatorial Pattern Matching, CPM 2004, held in Istanbul, Turkey in July 2004. The 36 revised full papers presented were carefully reviewed and selected from 79 submissions. The papers are devoted to current theoretical and computational aspects of searching and matching of strings and more complicate patterns, such as trees, regular expressions, graphs, point sets, and arrays. Among the application fields addressed are computational biology, bioinformatics, genomics, proteinomics, the web, data compression, coding, multimedia, information retrieval, data analysis, pattern recognition, and computer vision.
Average Case Analysis Of Numerical Problems
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Author : Klaus Ritter
language : en
Publisher: Springer
Release Date : 2007-05-06
Average Case Analysis Of Numerical Problems written by Klaus Ritter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.
The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided.
Combinatorial Pattern Matching
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Author : Alberto Apostolico
language : en
Publisher: Springer
Release Date : 2005-05-13
Combinatorial Pattern Matching written by Alberto Apostolico and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-13 with Computers categories.
This book constitutes the refereed proceedings of the 16th Annual Symposium on Combinatorial Pattern Matching, CPM 2005, held in Jeju island, Korea on June 19-22, 2005. The 37 revised full papers presented were carefully reviewed and selected from 129 submissions. They constitute original research contributions in combinatorial pattern matching and its applications. Among the application fields addressed are computational biology, bioinformatics, genomics, proteinomics, data compression, Sequence Analysis and Graphs, information retrieval, data analysis, and pattern recognition.
Algorithm Design
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Author : Michael T. Goodrich
language : en
Publisher: John Wiley & Sons
Release Date : 2001-10-15
Algorithm Design written by Michael T. Goodrich and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-15 with Computers categories.
Are you looking for something different in your Algorithms text? Are you looking for an Algorithms text that offers theoretical analysis techniques as well as design patterns and experimental methods for the engineering of algorithms? Michael Goodrich and Roberto Tamassia, authors of the successful, Data Structures and Algorithms in Java, 2/e, have written Algorithm Design, a text designed to provide a comprehensive introduction to the design, implementation and analysis of computer algorithms and data structures from a modern perspective. Written for an undergraduate, junior-senior algorithms course this text offers several implementation case studies and uses Internet applications to motivate many topics such as hashing, sorting and searching.
An Introduction To Kolmogorov Complexity And Its Applications
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Author : Ming Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
An Introduction To Kolmogorov Complexity And Its Applications written by Ming Li 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 2013-03-09 with Mathematics categories.
Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions of objects. The length of such a description (or the number of bits of information in it) is its Kolmogorov complexity. We treat all aspects of the elementary mathematical theory of Kolmogorov complexity. This body of knowledge may be called algo rithmic complexity theory. The theory of Martin-Lof tests for random ness of finite objects and infinite sequences is inextricably intertwined with the theory of Kolmogorov complexity and is completely treated. We also investigate the statistical properties of finite strings with high Kolmogorov complexity. Both of these topics are eminently useful in the applications part of the book. We also investigate the recursion theoretic properties of Kolmogorov complexity (relations with Godel's incompleteness result), and the Kolmogorov complexity version of infor mation theory, which we may call "algorithmic information theory" or "absolute information theory. " The treatment of algorithmic probability theory in Chapter 4 presup poses Sections 1. 6, 1. 11. 2, and Chapter 3 (at least Sections 3. 1 through 3. 4).
Latin 2002 Theoretical Informatics
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Author : Sergio Rajsbaum
language : en
Publisher: Springer
Release Date : 2003-07-31
Latin 2002 Theoretical Informatics written by Sergio Rajsbaum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Symposium, Latin American Theoretical Informatics, LATIN 2002, held in Cancun, Mexico, in April 2002. The 44 revised full papers presented together with a tutorial and 7 abstracts of invited contributions were carefully reviewed and selected from a total of 104 submissions. The papers presented are devoted to a broad range of topics from theoretical computer science and mathematical foundations, with a certain focus on algorithmics and computations related to discrete structures.