04155nam 2200757 a 450 991081914440332120200520144314.01-107-20031-81-139-63769-X1-282-30277-997866123027700-511-58063-00-511-58095-90-511-57955-10-511-57881-40-511-58127-00-511-58029-0(CKB)1000000000784190(EBL)451942(OCoLC)609842926(SSID)ssj0000128137(PQKBManifestationID)11936945(PQKBTitleCode)TC0000128137(PQKBWorkID)10063487(PQKB)11141035(UkCbUP)CR9780511581274(Au-PeEL)EBL451942(CaPaEBR)ebr10333193(OCoLC)438728734(MiAaPQ)EBC451942(PPN)150194013(EXLCZ)99100000000078419020090306d2009 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierConcentration of measure for the analysis of randomized algorithms /Devdatt Dubhashi, Alessandro Panconesi1st ed.New York Cambridge University Press20091 online resource (xiv, 196 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-60660-8 0-521-88427-6 Includes bibliographical references (p. 189-193) and index.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 -- Appendix A : summary of the most useful bounds.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.Random variablesDistribution (Probability theory)Limit theorems (Probability theory)AlgorithmsRandom variables.Distribution (Probability theory)Limit theorems (Probability theory)Algorithms.518/.1Dubhashi Devdatt1644134Panconesi Alessandro1755301MiAaPQMiAaPQMiAaPQBOOK9910819144403321Concentration of measure for the analysis of randomized algorithms4204978UNINA