A Generalization of Costa's Entropy Power Inequality

被引：1
|
作者：
Tamanini, Luca [1 ]
机构：
[1] Bocconi Univ, Bocconi Inst Data Sci & Analyt, I-20136 Milan, Italy
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2022年 / 68卷 / 07期
关键词：
Entropy; information theory; entropy power; Schrodinger problem; heat equation; METRIC-MEASURE-SPACES; CURVATURE-DIMENSION CONDITION; RICCI CURVATURE; GEOMETRY; PROOF; CONCAVITY;
D O I：
10.1109/TIT.2022.3159132
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Aim of this short note is to study Shannon's entropy power along entropic interpolations, thus generalizing Costa's concavity theorem. We shall provide two proofs of independent interest: the former by G-calculus, hence applicable to more abstract frameworks; the latter with an explicit remainder term, reminiscent of Villani (IEEE Trans. Inf. Theory, 2006), allowing us to characterize the case of equality.
引用
收藏
页码：4224 / 4229
页数：6
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