{"title":"Stability of Bernstein’s Characterization of Gaussian Vectors and a Soft Doubling Argument","authors":"Mohammad Mahdi Mahvari, G. Kramer","doi":"10.1109/ITW55543.2023.10161689","DOIUrl":null,"url":null,"abstract":"Stability properties of Bernstein’s characterization of Gaussian vectors are derived. Stability leads to a soft doubling argument through which one can prove capacity theorems without requiring the existence of capacity-achieving distributions.","PeriodicalId":439800,"journal":{"name":"2023 IEEE Information Theory Workshop (ITW)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE Information Theory Workshop (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW55543.2023.10161689","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
Stability properties of Bernstein’s characterization of Gaussian vectors are derived. Stability leads to a soft doubling argument through which one can prove capacity theorems without requiring the existence of capacity-achieving distributions.
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