作为源编码定理的球覆盖和测度浓度

Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252) Pub Date : 2001-06-24 DOI:10.1109/ISIT.2001.936031

Ioannis Kontoyiannis

{"title":"作为源编码定理的球覆盖和测度浓度","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":"{\"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}","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

摘要

我们陈述并解决了一般版本的汇率扭曲问题。作为推论，我们证明其答案包含:(i)假设检验中的Stein引理;(ii)香农(1959)有损源编码定理;(三)衡量集中度不平等的新反义词。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Sphere-covering and measure concentration as source coding theorems

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)

自引率

0.00%

发文量

期刊最新文献

A simple encodable/decodable OFDM QPSK code with low peak-to-mean envelope power ratio The effect of redundancy on measurement Decision directed algorithms for multiuser detection A new modulation scheme using asymmetric error correcting code embedded in optical orthogonal code for optical CDMA Matrix CUSUM: a recursive multi-hypothesis change detection algorithm