Multiterminal Source Coding Under Logarithmic Loss

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Jul 2012Embargo end date: 01 Jan 2011Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 60, pages 740-761 (issn: 0018-9448, eissn: 1557-9654,

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Authors: Thomas A. Courtade; Tsachy Weissman;

doi: 10.1109/tit.2013.2288257 , 10.1109/isit.2012.6284661 , 10.48550/arxiv.1110.3069

arXiv: 1110.3069

Multiterminal Source Coding Under Logarithmic Loss

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Abstract

We consider the classical two-encoder multiterminal source coding problem where distortion is measured under logarithmic loss. We provide a single-letter characterization of the achievable rate distortion region for arbitrarily correlated sources with finite alphabets. In doing so, we also give the rate distortion region for the $m$-encoder CEO problem (also under logarithmic loss). Several applications and examples are given.

52 pages, 5 figures. Submitted to IEEE Transactions on Information Theory, partial version appeared in IEEE International Symposium on Information Theory (ISIT) 2012. Version 3 contains minor revisions and corrects the proof of the strengthened converse of Theorem 6

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University of California, Los Angeles
United States
Stanford University
United States

Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT)

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