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Fundamentals of the Average Case Analysis of Particular Algorithms

1985-04-04 Computers
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Release : 1985-04-04
Genre : Computers
Kind : eBook
Book Rating : 222/5 ( reviews)

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Book Synopsis Fundamentals of the Average Case Analysis of Particular Algorithms by : Rainer Kemp

Download or read book Fundamentals of the Average Case Analysis of Particular Algorithms written by Rainer Kemp. This book was released on 1985-04-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Average Case Analysis of Algorithms on Sequences

2011-10-14 Mathematics
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Release : 2011-10-14
Genre : Mathematics
Kind : eBook
Book Rating : 024/5 ( reviews)

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Book Synopsis Average Case Analysis of Algorithms on Sequences by : Wojciech Szpankowski

Download or read book Average Case Analysis of Algorithms on Sequences written by Wojciech Szpankowski. This book was released on 2011-10-14. Available in PDF, EPUB and Kindle. Book excerpt: 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 Numerical Problems

2000-05-26 Mathematics
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Release : 2000-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 498/5 ( reviews)

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Book Synopsis Average-Case Analysis of Numerical Problems by : Klaus Ritter

Download or read book Average-Case Analysis of Numerical Problems written by Klaus Ritter. This book was released on 2000-05-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Beyond the Worst-Case Analysis of Algorithms

2021-01-14 Computers
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Release : 2021-01-14
Genre : Computers
Kind : eBook
Book Rating : 315/5 ( reviews)

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Book Synopsis Beyond the Worst-Case Analysis of Algorithms by : Tim Roughgarden

Download or read book Beyond the Worst-Case Analysis of Algorithms written by Tim Roughgarden. This book was released on 2021-01-14. Available in PDF, EPUB and Kindle. Book excerpt: Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.

Practical Analysis of Algorithms

2014-09-03 Computers
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Release : 2014-09-03
Genre : Computers
Kind : eBook
Book Rating : 888/5 ( reviews)

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Book Synopsis Practical Analysis of Algorithms by : Dana Vrajitoru

Download or read book Practical Analysis of Algorithms written by Dana Vrajitoru. This book was released on 2014-09-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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