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Concentration of Measure for the Analysis of Randomized Algorithms PDF

213 Pages·2009·2.531 MB·English
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by Devdatt P. Dubhashi, Alessandro Panconesi| 2009| 213 pages| 2.531| English

About Concentration of Measure for the Analysis of Randomized Algorithms

Randomized algorithms have become a central part of the algorithms curriculum based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high- probability estimates on the performance of randomized algorithms. It covers the basic tool kit from the Chernoff-Hoeffding (CH) bounds to more sophisticated techniques like Martingales and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities, and log-Sobolev inequalities. Along the way, variations on the basic theme are examined, such as CH bounds in dependent settings. The authors emphasize comparative study of the different methods, highlighting respective strengths and weaknesses in concrete example applications. The exposition is tailored to discrete settings sufficient for the analysis of algorithms, avoiding unnecessary measure-theoretic details, thus making the book accessible to computer scientists as well as probabilists and discrete mathematicians.

Detailed Information

Author:Devdatt P. Dubhashi, Alessandro Panconesi
Publication Year:2009
ISBN:521884276
Pages:213
Language:English
File Size:2.531
Format:PDF
Price:FREE
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