Pinsker不等式的分布相关的改进

E. Ordentlich, M. Weinberger
{"title":"Pinsker不等式的分布相关的改进","authors":"E. Ordentlich, M. Weinberger","doi":"10.1109/ISIT.2004.1365068","DOIUrl":null,"url":null,"abstract":"Given two probability distributions Q and P, let /spl par/Q-P/spl par//sub 1/ and D(Q/spl par/P), respectively, denote the L/sub 1/ distance and divergence between Q and P. We derive a refinement of Pinsker's inequality of the form D(Q/spl par/P)/spl ges//spl phi/(P)/spl par/Q-P/spl par//sub 1//sup 2/ and characterize the best P-dependent factor /spl phi/(P).","PeriodicalId":269907,"journal":{"name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A distribution dependent refinement of Pinsker's inequality\",\"authors\":\"E. Ordentlich, M. Weinberger\",\"doi\":\"10.1109/ISIT.2004.1365068\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given two probability distributions Q and P, let /spl par/Q-P/spl par//sub 1/ and D(Q/spl par/P), respectively, denote the L/sub 1/ distance and divergence between Q and P. We derive a refinement of Pinsker's inequality of the form D(Q/spl par/P)/spl ges//spl phi/(P)/spl par/Q-P/spl par//sub 1//sup 2/ and characterize the best P-dependent factor /spl phi/(P).\",\"PeriodicalId\":269907,\"journal\":{\"name\":\"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2004.1365068\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2004.1365068","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

摘要

给定两个概率分布Q和P,令/spl par/Q-P/spl par//sub 1/和D(Q/spl par//sub 1/)分别表示Q和P之间的L/sub 1/距离和散度。我们推导出了形式为D(Q/spl par/P)/spl ges//spl phi/(P)/spl par/Q-P/spl par//sub 1//sup 2/的Pinsker不等式的细化,并表征了最佳P依赖因子/spl phi/(P)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A distribution dependent refinement of Pinsker's inequality
Given two probability distributions Q and P, let /spl par/Q-P/spl par//sub 1/ and D(Q/spl par/P), respectively, denote the L/sub 1/ distance and divergence between Q and P. We derive a refinement of Pinsker's inequality of the form D(Q/spl par/P)/spl ges//spl phi/(P)/spl par/Q-P/spl par//sub 1//sup 2/ and characterize the best P-dependent factor /spl phi/(P).
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信