{"title":"Tight bounds for symmetric divergence measures and a new inequality relating f-divergences","authors":"I. Sason","doi":"10.1109/ITW.2015.7133079","DOIUrl":null,"url":null,"abstract":"Tight bounds for several symmetric divergence measures are introduced, given in terms of the total variation distance. Each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds for lossless source coding is provided, refining and improving a certain bound by Csiszár. A new inequality relating f-divergences is derived, and its use is exemplified. The last section of this conference paper is not included in the recent journal paper [16], as well as some new remarks that are linked to new references.","PeriodicalId":174797,"journal":{"name":"2015 IEEE Information Theory Workshop (ITW)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE Information Theory Workshop (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW.2015.7133079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
Tight bounds for several symmetric divergence measures are introduced, given in terms of the total variation distance. Each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds for lossless source coding is provided, refining and improving a certain bound by Csiszár. A new inequality relating f-divergences is derived, and its use is exemplified. The last section of this conference paper is not included in the recent journal paper [16], as well as some new remarks that are linked to new references.
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