NDLI: A new dual to the Gács-Körner common information defined via the Gray-Wyner system

Content Provider	IEEE Xplore Digital Library
Author	Kamath, S. Anantharam, V.
Copyright Year	2010
Description	Author affiliation: EECS Department, University of California, Berkeley, USA (Kamath, S.; Anantharam, V.)
Abstract	We consider jointly distributed random variables X and Y. After describing the Gács-Körner common information between the random variables from the viewpoint of the capacity region of the Gray-Wyner system, we propose a new notion of common information between the random variables that is dual to the Gács-Körner common information from this viewpoint in a well-defined sense. We characterize this quantity explicitly in terms of two auxiliary quantities that are asymmetric in nature, and illustrate the operational significance of these new quantities by characterizing a corner point of the solution to a problem of source coding with side-information in terms of them. We also contrast this new concept of common information for a pair of random variables with the Wyner common information of the random variables, which is also a kind of dual to the Gács-Körner common information.
Starting Page	1340
Ending Page	1346
File Size	453072
Page Count	7
File Format	PDF
ISBN	9781424482153
e-ISBN	9781424482160
DOI	10.1109/ALLERTON.2010.5707069
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Source coding Markov processes Random variables Indexes Joints Mutual information Equations
Content Type	Text
Resource Type	Article

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