{"title":"Characterizing the entropy function region via extreme rays","authors":"Qi Chen, R. Yeung","doi":"10.1109/ITW.2012.6404674","DOIUrl":null,"url":null,"abstract":"Contrary to the traditional method of information inequalities, in this paper, the entropy function region Γ<sub>n</sub>* and its closure ̅Γ<sub>n</sub>* are characterized via extreme rays of its outer bound polymatroidal region Γ<sub>n</sub>. The characterization of Γ<sub>3</sub>* and the tightness of Γ<sub>n</sub> as an outer bound on ̅Γ<sub>n</sub>* are studied.","PeriodicalId":325771,"journal":{"name":"2012 IEEE Information Theory Workshop","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE Information Theory Workshop","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW.2012.6404674","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
Contrary to the traditional method of information inequalities, in this paper, the entropy function region Γn* and its closure ̅Γn* are characterized via extreme rays of its outer bound polymatroidal region Γn. The characterization of Γ3* and the tightness of Γn as an outer bound on ̅Γn* are studied.
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