Smoothing Brascamp-Lieb Inequalities and Strong Converses of Coding Theorems

The Brascamp-Lieb inequality in functional analysis can be viewed as a measure of the "uncorrelatedness" of a joint probability distribution. We define the smooth Brascamp-Lieb (BL) divergence as the infimum of the best constant in the Brascamp-Lieb inequality under a perturbation of the j...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 66; no. 2; pp. 704 - 721
Main Authors:	Liu, Jingbo, Courtade, Thomas A., Cuff, Paul, Verdu, Sergio
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.02.2020 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Brascamp-Lieb inequality Channel coding Codes Coding coding theorems common randomness Divergence Entropy finite blocklength Functional analysis Gray-Wyner network hypercontractivity Inequality Infimum Perturbation Probability distribution Random variables Shannon theory Smoothing methods strong converse Upper bounds
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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