Informational divergence approximations to product distributions

J. Hou, G. Kramer
{"title":"Informational divergence approximations to product distributions","authors":"J. Hou, G. Kramer","doi":"10.1109/CWIT.2013.6621596","DOIUrl":null,"url":null,"abstract":"The minimum rate needed to accurately approximate a product distribution based on an unnormalized informational divergence is shown to be a mutual information. This result subsumes results of Wyner on common information and Han-Verdú on resolvability. The result also extends to cases where the source distribution is unknown but the entropy is known.","PeriodicalId":398936,"journal":{"name":"2013 13th Canadian Workshop on Information Theory","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"43","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 13th Canadian Workshop on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CWIT.2013.6621596","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 43

Abstract

The minimum rate needed to accurately approximate a product distribution based on an unnormalized informational divergence is shown to be a mutual information. This result subsumes results of Wyner on common information and Han-Verdú on resolvability. The result also extends to cases where the source distribution is unknown but the entropy is known.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
乘积分布的信息散度近似
基于非标准化信息散度精确近似产品分布所需的最小速率显示为互信息。这个结果包含了Wyner关于公共信息和Han-Verdú关于可解析性的结果。该结果也适用于源分布未知但熵已知的情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
On the achievability of the degrees of freedom for the three-cell MIMO interfering broadcast channel with minimum spatial dimensions Integrating prior knowledge in time series alignment: Prior Optimized Time Warping An achievability proof for the lossy coding of Markov sources with feed-forward Performance of MIMO adaptive subcarrier QAM intensity modulation in Gamma-Gamma turbulence Binary faster than Nyquist optical transmission via non-uniform power allocation
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1