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Information concentration for convex measures

  • Jiange Li
  • , Matthieu Fradelizi
  • , Mokshay Madiman
  • University of Delaware
  • Université Paris-Est

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Sharp exponential deviation estimates for the information content as well as a sharp bound on the varentropy are obtained for convex probability measures on Euclidean spaces. These provide, in a sense, a nonasymptotic equipartition property for convex measures even in the absence of stationarity-type assumptions.

Original languageEnglish
Title of host publicationProceedings - 2016 IEEE International Symposium on Information Theory, ISIT 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1128-1132
Number of pages5
ISBN (Electronic)9781509018062
DOIs
StatePublished - 10 Aug 2016
Externally publishedYes
Event2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain
Duration: 10 Jul 201615 Jul 2016

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2016-August
ISSN (Electronic)2157-8117

Conference

Conference2016 IEEE International Symposium on Information Theory, ISIT 2016
Country/TerritorySpain
CityBarcelona
Period10/07/1615/07/16

Keywords

  • Varentropy
  • asymptotic equipartition
  • concentration
  • convex measure
  • log-concave

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