Generalizations of Crooks and Lin’s results on Jeffreys-Csiszár and Jensen-Csiszár -divergences

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Generalizations of Crooks and Lin’s results on Jeffreys-Csiszár and Jensen-Csiszár -divergences

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作者：Paweł Kluza ^{pawel.kluza@up.lublin.pl" class="auth_mail" title="E-mail the corresponding author} ; Marek Niezgoda ; ^{marek.niezgoda@up.lublin.pl" class="auth_mail" title="E-mail the corresponding author}
关键词：Shannon entropy ; Tsallis relative entropy ; Jeffreys&ndash ; Csiszá ; r divergence ; Jensen&ndash ; Csiszá ; r divergence ; Jensen functional
刊名：Physica A: Statistical Mechanics and its Applications
出版年：2016
出版时间：1 December 2016
年：2016
卷：463
期：Complete
页码：383-393
全文大小：432 K

文摘

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We introduce and investigate new Jeffreys–Csiszár and Jensen–Csiszár lsi1" class="mathmlsrc">lass="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0378437116304939&_mathId=si1.gif&_user=111111111&_pii=S0378437116304939&_rdoc=1&_issn=03784371&md5=69d68bac40e7f6743cc65bc6e10d736e" title="Click to view the MathML source">flass="mathContainer hidden">lass="mathCode"> $ltimg="si1.gif" overf$ low="scroll">f-divergences.

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We derive inequalities for such general divergences.

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We refine results by Crooks, Lin and Popescu et al. on Jeffreys and Jensen–Shannon divergences.