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...

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書目詳細資料
主要作者: Dubhashi, Devdatt
其他作者: Panconesi, Alessandro
格式: Licensed eBooks
語言:英语
出版: Cambridge ; New York : Cambridge University Press, ©2009.
在線閱讀:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=284347
書本目錄:
  • Chernoff-Hoeffding bounds
  • Applications of the Chernoff-Hoeffding bounds
  • Chernoff-Hoeffding bounds in dependent settings
  • Interlude : probabilistic recurrences
  • Martingales and the method of bounded differences
  • The simple method of bounded differences in action
  • The method of averaged bounded differences
  • The method of bounded variances
  • Interlude : the infamous upper tail
  • Isoperimetric inequalities and concentration
  • Talagrand's isoperimetric inequality
  • Isoperimetric inequalities and concentration via transportation cost inequalities
  • Quadratic transportation cost and Talagrand's inequality
  • Log-Sobolev inequalities and concentration.