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Author: Wojciech Szpankowski
Publisher: John Wiley & Sons
ISBN: 1118031024
Category : Mathematics
Languages : en
Pages : 580
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Book Description
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.
Author: Wojciech Szpankowski
Publisher: John Wiley & Sons
ISBN: 1118031024
Category : Mathematics
Languages : en
Pages : 580
Get Book Here
Book Description
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.
Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1108494315
Category : Computers
Languages : en
Pages : 705
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Book Description
Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
Author: Marco Pellegrini
Publisher: Frontiers Media SA
ISBN: 288945018X
Category :
Languages : en
Pages : 95
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Book Description
Repetitive structures in biological sequences are emerging as an active focus of research and the unifying concept of "repeatome" (the ensemble of knowledge associated with repeating structures in genomic/proteomic sequences) has been recently proposed in order to highlight several converging trends. One main trend is the ongoing discovery that genomic repetitions are linked to many biological significant events and functions. Diseases (e.g. Huntington's disease) have been causally linked with abnormal expansion of certain repeating sequences in the human genome. Deletions or multiple copy duplications of genes (Copy Number Variations) are important in the aetiology of cancer, Alzheimer, and Parkinson diseases. A second converging trend has been the emergence of many different models and algorithms for detecting non-obvious repeating patterns in strings with applications to in genomic data. Borrowing methodologies from combinatorial pattern, matching, string algorithms, data structures, data mining and machine learning these new approaches break the limitations of the current approaches and offer a new way to design better trans-disciplinary research. The articles collected in this book provides a glance into the rich emerging area of repeatome research, addressing some of its pressing challenges. We believe that these contributions are valuable resources for repeatome research and will stimulate further research from bioinformatic, statistical, and biological points of view.
Author: Robert Sedgewick
Publisher: Addison-Wesley
ISBN: 0133373487
Category : Computers
Languages : en
Pages : 735
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Book Description
Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully introducing primary techniques and results in the field. Robert Sedgewick and the late Philippe Flajolet have drawn from both classical mathematics and computer science, integrating discrete mathematics, elementary real analysis, combinatorics, algorithms, and data structures. They emphasize the mathematics needed to support scientific studies that can serve as the basis for predicting algorithm performance and for comparing different algorithms on the basis of performance. Techniques covered in the first half of the book include recurrences, generating functions, asymptotics, and analytic combinatorics. Structures studied in the second half of the book include permutations, trees, strings, tries, and mappings. Numerous examples are included throughout to illustrate applications to the analysis of algorithms that are playing a critical role in the evolution of our modern computational infrastructure. Improvements and additions in this new edition include Upgraded figures and code An all-new chapter introducing analytic combinatorics Simplified derivations via analytic combinatorics throughout The book’s thorough, self-contained coverage will help readers appreciate the field’s challenges, prepare them for advanced results—covered in their monograph Analytic Combinatorics and in Donald Knuth’s The Art of Computer Programming books—and provide the background they need to keep abreast of new research. "[Sedgewick and Flajolet] are not only worldwide leaders of the field, they also are masters of exposition. I am sure that every serious computer scientist will find this book rewarding in many ways." —From the Foreword by Donald E. Knuth
Author: Suleyman C. Sahinalp
Publisher: Springer Science & Business Media
ISBN: 354022341X
Category : Computers
Languages : en
Pages : 496
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Book Description
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.
Author: Anany Levitin
Publisher: Pearson Education India
ISBN: 9788131718377
Category : Algorithms
Languages : en
Pages : 548
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Book Description
Author: Anuradha A. Puntambekar
Publisher: Technical Publications
ISBN: 933322386X
Category : Computers
Languages : en
Pages : 689
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Book Description
This well-organized textbook provides the design techniques of algorithms in a simple and straight forward manner. The book begins with a description of the fundamental concepts such as algorithm, functions and relations, vectors and matrices. Then it focuses on efficiency analysis of algorithms. In this unit, the technique of computing time complexity of the algorithm is discussed along with illustrative examples. Gradually, the text discusses various algorithmic strategies such as divide and conquer, dynamic programming, Greedy algorithm, backtracking and branch and bound. Finally the string matching algorithms and introduction to NP completeness is discussed. Each algorithmic strategy is explained in stepwise manner, followed by examples and pseudo code. Thus this book helps the reader to learn the analysis and design of algorithms in the most lucid way.
Author: Alberto Apostolico
Publisher: Springer
ISBN: 3540315624
Category : Computers
Languages : en
Pages : 453
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Book Description
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.
Author: Ming Li
Publisher: Springer Science & Business Media
ISBN: 1475726066
Category : Mathematics
Languages : en
Pages : 655
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Book Description
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).
Author: Klaus Jansen
Publisher: Springer
ISBN: 3540448675
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This book constitutes the refereed proceedings of the Second International Workshop on Experimental and Efficient Algorithms, WEA 2003, held in Ascona, Switzerland in May 2003. The 19 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 40 submissions. The focus of the volume is on applications of efficient algorithms for combinatorial problems.
