The CEO Problem with rth Power of Difference Distortion

Daewon Seo, Lav R. Varshney

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The CEO problem has received a lot of attention since Berger et al. first investigated it, however, there are limited results on non-Gaussian models with non-quadratic distortion measures. In this work, we extend the CEO problem to two continuous-alphabet settings with general rth power of difference distortion, and study asymptotics of distortion as the number of agents and sum rate grow without bound. The first setting is a regular source-observation model, such as jointly Gaussian, with difference distortion and we show that the distortion decays at R ∑ r/2 up to a multiplicative constant. The other setting is a non-regular source-observation model, such as copula or uniform additive noise models, for which estimation-theoretic regularity conditions do not hold. The optimal decay R-rsum is obtained for the non-regular model.

Original languageEnglish (US)
Title of host publication2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2034-2038
Number of pages5
ISBN (Electronic)9781538692912
DOIs
StatePublished - Jul 2019
Event2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France
Duration: Jul 7 2019Jul 12 2019

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2019-July
ISSN (Print)2157-8095

Conference

Conference2019 IEEE International Symposium on Information Theory, ISIT 2019
CountryFrance
CityParis
Period7/7/197/12/19

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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