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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلف الرئيسي: Dubhashi, Devdatt
مؤلفون آخرون: Panconesi, Alessandro
التنسيق: Licensed eBooks
اللغة:الإنجليزية
منشور في: Cambridge ; New York : Cambridge University Press, ©2009.
الوصول للمادة أونلاين:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=284347
جدول المحتويات:
  • 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.