Author : Tim Roughgarden
Publisher : Cambridge University Press
Page : 705 pages
File Size : 12,59 MB
Release : 2021-01-14
Category : Computers
ISBN : 1108494315
Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.
Author : Jeffrey J. McConnell
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 21,27 MB
Release : 2008
Category : Computers
ISBN : 0763707821
Data Structures & Theory of Computation
Author : Wojciech Szpankowski
Publisher : John Wiley & Sons
Page : 580 pages
File Size : 35,21 MB
Release : 2011-10-14
Category : Mathematics
ISBN : 1118031024
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 : Dana Vrajitoru
Publisher : Springer
Page : 475 pages
File Size : 20,80 MB
Release : 2014-09-03
Category : Computers
ISBN : 3319098888
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.
Author : Tim Roughgarden
Publisher : Cambridge University Press
Page : 356 pages
File Size : 19,31 MB
Release : 2016-08-30
Category : Computers
ISBN : 1316781178
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Author : Anany Levitin
Publisher : Pearson Education India
Page : 548 pages
File Size : 42,14 MB
Release : 2008-09
Category : Algorithms
ISBN : 9788131718377
Author : Tim Roughgarden
Publisher : Cambridge University Press
Page : 705 pages
File Size : 10,76 MB
Release : 2021-01-14
Category : Computers
ISBN : 1108786170
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.
Author : Clifford A. Shaffer
Publisher : Courier Corporation
Page : 607 pages
File Size : 22,88 MB
Release : 2012-09-06
Category : Computers
ISBN : 0486173569
Comprehensive treatment focuses on creation of efficient data structures and algorithms and selection or design of data structure best suited to specific problems. This edition uses Java as the programming language.
Author : Steven S Skiena
Publisher : Springer Science & Business Media
Page : 742 pages
File Size : 22,13 MB
Release : 2009-04-05
Category : Computers
ISBN : 1848000707
This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java
Author : Sanjeev Arora
Publisher : Cambridge University Press
Page : 609 pages
File Size : 17,33 MB
Release : 2009-04-20
Category : Computers
ISBN : 0521424267
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
