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Randomized Algorithms

1995-08-25 Computers
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Release : 1995-08-25
Genre : Computers
Kind : eBook
Book Rating : 134/5 ( reviews)

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Book Synopsis Randomized Algorithms by : Rajeev Motwani

Download or read book Randomized Algorithms written by Rajeev Motwani. This book was released on 1995-08-25. Available in PDF, EPUB and Kindle. Book excerpt: For many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. The first part of the book presents tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book, each of the seven chapters focuses on one important area of application of randomized algorithms: data structures; geometric algorithms; graph algorithms; number theory; enumeration; parallel algorithms; and on-line algorithms. A comprehensive and representative selection of the algorithms in these areas is also given. This book should prove invaluable as a reference for researchers and professional programmers, as well as for students.

Design and Analysis of Randomized Algorithms

2005-10-11 Computers
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Release : 2005-10-11
Genre : Computers
Kind : eBook
Book Rating : 032/5 ( reviews)

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Book Synopsis Design and Analysis of Randomized Algorithms by : J. Hromkovic

Download or read book Design and Analysis of Randomized Algorithms written by J. Hromkovic. This book was released on 2005-10-11. Available in PDF, EPUB and Kindle. Book excerpt: Systematically teaches key paradigmic algorithm design methods Provides a deep insight into randomization

Probability and Computing

2005-01-31 Computers
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Release : 2005-01-31
Genre : Computers
Kind : eBook
Book Rating : 404/5 ( reviews)

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Book Synopsis Probability and Computing by : Michael Mitzenmacher

Download or read book Probability and Computing written by Michael Mitzenmacher. This book was released on 2005-01-31. Available in PDF, EPUB and Kindle. Book excerpt: Randomization and probabilistic techniques play an important role in modern computer science, with applications ranging from combinatorial optimization and machine learning to communication networks and secure protocols. This 2005 textbook is designed to accompany a one- or two-semester course for advanced undergraduates or beginning graduate students in computer science and applied mathematics. It gives an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses. It assumes only an elementary background in discrete mathematics and gives a rigorous yet accessible treatment of the material, with numerous examples and applications. The first half of the book covers core material, including random sampling, expectations, Markov's inequality, Chevyshev's inequality, Chernoff bounds, the probabilistic method and Markov chains. The second half covers more advanced topics such as continuous probability, applications of limited independence, entropy, Markov chain Monte Carlo methods and balanced allocations. With its comprehensive selection of topics, along with many examples and exercises, this book is an indispensable teaching tool.

Randomized Algorithms in Automatic Control and Data Mining

2014-07-14 Technology & Engineering
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Release : 2014-07-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 869/5 ( reviews)

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Book Synopsis Randomized Algorithms in Automatic Control and Data Mining by : Oleg Granichin

Download or read book Randomized Algorithms in Automatic Control and Data Mining written by Oleg Granichin. This book was released on 2014-07-14. Available in PDF, EPUB and Kindle. Book excerpt: In the fields of data mining and control, the huge amount of unstructured data and the presence of uncertainty in system descriptions have always been critical issues. The book Randomized Algorithms in Automatic Control and Data Mining introduces the readers to the fundamentals of randomized algorithm applications in data mining (especially clustering) and in automatic control synthesis. The methods proposed in this book guarantee that the computational complexity of classical algorithms and the conservativeness of standard robust control techniques will be reduced. It is shown that when a problem requires "brute force" in selecting among options, algorithms based on random selection of alternatives offer good results with certain probability for a restricted time and significantly reduce the volume of operations.

Randomized Algorithms for Analysis and Control of Uncertain Systems

2012-10-21 Technology & Engineering
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Release : 2012-10-21
Genre : Technology & Engineering
Kind : eBook
Book Rating : 107/5 ( reviews)

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Book Synopsis Randomized Algorithms for Analysis and Control of Uncertain Systems by : Roberto Tempo

Download or read book Randomized Algorithms for Analysis and Control of Uncertain Systems written by Roberto Tempo. This book was released on 2012-10-21. Available in PDF, EPUB and Kindle. Book excerpt: The presence of uncertainty in a system description has always been a critical issue in control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain Systems, with Applications (Second Edition) is to introduce the reader to the fundamentals of probabilistic methods in the analysis and design of systems subject to deterministic and stochastic uncertainty. The approach propounded by this text guarantees a reduction in the computational complexity of classical control algorithms and in the conservativeness of standard robust control techniques. The second edition has been thoroughly updated to reflect recent research and new applications with chapters on statistical learning theory, sequential methods for control and the scenario approach being completely rewritten. Features: · self-contained treatment explaining Monte Carlo and Las Vegas randomized algorithms from their genesis in the principles of probability theory to their use for system analysis; · development of a novel paradigm for (convex and nonconvex) controller synthesis in the presence of uncertainty and in the context of randomized algorithms; · comprehensive treatment of multivariate sample generation techniques, including consideration of the difficulties involved in obtaining identically and independently distributed samples; · applications of randomized algorithms in various endeavours, such as PageRank computation for the Google Web search engine, unmanned aerial vehicle design (both new in the second edition), congestion control of high-speed communications networks and stability of quantized sampled-data systems. Randomized Algorithms for Analysis and Control of Uncertain Systems (second edition) is certain to interest academic researchers and graduate control students working in probabilistic, robust or optimal control methods and control engineers dealing with system uncertainties. The present book is a very timely contribution to the literature. I have no hesitation in asserting that it will remain a widely cited reference work for many years. M. Vidyasagar

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