Author: Wojciech Szpankowski
Publisher: John Wiley & Sons
ISBN: 1118031024
Category : Mathematics
Languages : en
Pages : 580
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.
Average Case Analysis of Algorithms on Sequences
Author: Wojciech Szpankowski
Publisher: John Wiley & Sons
ISBN: 1118031024
Category : Mathematics
Languages : en
Pages : 580
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.
Publisher: John Wiley & Sons
ISBN: 1118031024
Category : Mathematics
Languages : en
Pages : 580
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.
Beyond the Worst-Case Analysis of Algorithms
Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1108494315
Category : Computers
Languages : en
Pages : 705
Book Description
Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
Publisher: Cambridge University Press
ISBN: 1108494315
Category : Computers
Languages : en
Pages : 705
Book Description
Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
Fundamentals of the Average Case Analysis of Particular Algorithms
Author: Rainer Kemp
Publisher: Wiley
ISBN: 9780471903222
Category : Computers
Languages : en
Pages : 252
Book Description
A careful and cogent analysis of the average-case behavior of a variety of algorithms accompanied by mathematical calculations. The analysis consists of determining the behavior of an algorithm in the best, worst, and average case. Material is outlined in various exercises and problems.
Publisher: Wiley
ISBN: 9780471903222
Category : Computers
Languages : en
Pages : 252
Book Description
A careful and cogent analysis of the average-case behavior of a variety of algorithms accompanied by mathematical calculations. The analysis consists of determining the behavior of an algorithm in the best, worst, and average case. Material is outlined in various exercises and problems.
Foundations of Algorithms
Author: Richard E. Neapolitan
Publisher: Jones & Bartlett Learning
ISBN: 0763782505
Category : Computers
Languages : en
Pages : 647
Book Description
Data Structures & Theory of Computation
Publisher: Jones & Bartlett Learning
ISBN: 0763782505
Category : Computers
Languages : en
Pages : 647
Book Description
Data Structures & Theory of Computation
Beyond the Worst-Case Analysis of Algorithms
Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1108786170
Category : Computers
Languages : en
Pages : 705
Book Description
There are no silver bullets in algorithm design, and no single algorithmic idea is powerful and flexible enough to solve every computational problem. Nor are there silver bullets in algorithm analysis, as the most enlightening method for analyzing an algorithm often depends on the problem and the application. However, typical algorithms courses rely almost entirely on a single analysis framework, that of worst-case analysis, wherein an algorithm is assessed by its worst performance on any input of a given size. The purpose of this book is to popularize several alternatives to worst-case analysis and their most notable algorithmic applications, from clustering to linear programming to neural network training. Forty leading researchers have contributed introductions to different facets of this field, emphasizing the most important models and results, many of which can be taught in lectures to beginning graduate students in theoretical computer science and machine learning.
Publisher: Cambridge University Press
ISBN: 1108786170
Category : Computers
Languages : en
Pages : 705
Book Description
There are no silver bullets in algorithm design, and no single algorithmic idea is powerful and flexible enough to solve every computational problem. Nor are there silver bullets in algorithm analysis, as the most enlightening method for analyzing an algorithm often depends on the problem and the application. However, typical algorithms courses rely almost entirely on a single analysis framework, that of worst-case analysis, wherein an algorithm is assessed by its worst performance on any input of a given size. The purpose of this book is to popularize several alternatives to worst-case analysis and their most notable algorithmic applications, from clustering to linear programming to neural network training. Forty leading researchers have contributed introductions to different facets of this field, emphasizing the most important models and results, many of which can be taught in lectures to beginning graduate students in theoretical computer science and machine learning.
Analysis of Algorithms
Author: Jeffrey J. McConnell
Publisher: Jones & Bartlett Learning
ISBN: 0763707821
Category : Computers
Languages : en
Pages : 471
Book Description
Data Structures & Theory of Computation
Publisher: Jones & Bartlett Learning
ISBN: 0763707821
Category : Computers
Languages : en
Pages : 471
Book Description
Data Structures & Theory of Computation
An Introduction to the Analysis of Algorithms
Author: Robert Sedgewick
Publisher: Addison-Wesley
ISBN: 0133373487
Category : Computers
Languages : en
Pages : 735
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
Publisher: Addison-Wesley
ISBN: 0133373487
Category : Computers
Languages : en
Pages : 735
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
Average Case Analysis of Algorithms
Introduction To Design And Analysis Of Algorithms, 2/E
Author: Anany Levitin
Publisher: Pearson Education India
ISBN: 9788131718377
Category : Algorithms
Languages : en
Pages : 548
Book Description
Publisher: Pearson Education India
ISBN: 9788131718377
Category : Algorithms
Languages : en
Pages : 548
Book Description
Practical Analysis of Algorithms
Author: Dana Vrajitoru
Publisher: Springer
ISBN: 3319098888
Category : Computers
Languages : en
Pages : 475
Book Description
This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.
Publisher: Springer
ISBN: 3319098888
Category : Computers
Languages : en
Pages : 475
Book Description
This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.