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Concentration of Measure for the Analysis of Randomized Algorithms

Devdatt P. Dubhashi and Alessandro Panconesi 2009 ;ISBN: 0521884276 ;ISBN: 1107606608 ;ISBN: 9781107606609 ;ISBN: 9780521884273 ;EISBN: 9780511581274 ;EISBN: 0511581270 ;EISBN: 0511579551 ;EISBN: 9780511579554 ;EISBN: 9781107200319 ;EISBN: 1107200318 ;EISBN: 113963769X ;EISBN: 9781139637695 ;DOI: 10.1017/CBO9780511581274 ;OCLC: 438728734

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  • Title:
    Concentration of Measure for the Analysis of Randomized Algorithms
  • Author: Dubhashi, Devdatt P. ; Panconesi, Alessandro
  • Subjects: Algorithms ; Distribution (Probability theory) ; Limit theorems (Probability theory) ; Random variables
  • Description: 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 toolkit from the Chernoff–Hoeffding 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 Chernoff–Hoeffding bounds in dependent settings. The authors emphasise 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.
  • Publisher: New York: Cambridge University Press
  • Creation Date: 2009
  • Format: 214
  • Language: English
  • Identifier: ISBN: 0521884276
    ISBN: 1107606608
    ISBN: 9781107606609
    ISBN: 9780521884273
    EISBN: 9780511581274
    EISBN: 0511581270
    EISBN: 0511579551
    EISBN: 9780511579554
    EISBN: 9781107200319
    EISBN: 1107200318
    EISBN: 113963769X
    EISBN: 9781139637695
    DOI: 10.1017/CBO9780511581274
    OCLC: 438728734
  • Source: Ebook Central Academic Complete
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