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On the Continuity of Achievable Rate Regions for Source Coding over Networks

Gu, WeiHsin and Effros, Michelle (2007) On the Continuity of Achievable Rate Regions for Source Coding over Networks. In: Information Theory Workshop (ITW 2007), Tahoe City, CA, 2-6 September 2007. IEEE , Piscataway, NJ, pp. 632-637. ISBN 1-4244-1564-0.

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The continuity property of achievable rate regions for source coding over networks is considered. We show rate- distortion regions are continuous with respect to distortion vectors. Then we focus on the continuity of lossless rate regions with respect to source distribution: First, the proof of continuity for general networks with independent sources is given; then, for the case of dependent sources, continuity is proven both in examples where one-letter characterizations are known and in examples where one-letter characterizations are not known; the proofs in the latter case rely on the concavity of the rate regions for those networks.

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Additional Information:© Copyright 2007 IEEE. Reprinted with permission. Current Version Published: 2007-09-24. This material is based upon work partially supported by NSF Grant No. CCR-0325324 and Caltech’s Lee Center for Advanced Networking.
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National Science FoundationCCR-0325324
Lee Center for Advanced Networking, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:GUWitw07a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11947
Deposited By: Archive Administrator
Deposited On:13 Oct 2008 21:23
Last Modified:03 Oct 2019 00:24

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