{"title":"Sphere-covering and measure concentration as source coding theorems","authors":"Ioannis Kontoyiannis","doi":"10.1109/ISIT.2001.936031","DOIUrl":null,"url":null,"abstract":"We state and solve a general version of the rate-distortion problem. We show that its answer contains, as corollaries: (i) Stein's lemma in hypothesis testing; (ii) Shannon's (1959) lossy source coding theorem; and (iii) new converses to measure-concentration inequalities.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2001.936031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We state and solve a general version of the rate-distortion problem. We show that its answer contains, as corollaries: (i) Stein's lemma in hypothesis testing; (ii) Shannon's (1959) lossy source coding theorem; and (iii) new converses to measure-concentration inequalities.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
