Interactive function computation with reconstruction constraints

Farideh Ebrahim Rezagah, Elza Erkip

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

Abstract

This paper investigates two-terminal interactive function computation with reconstruction constraints. Each terminal wants to compute a (possibly different) function of two correlated sources, but can only access one of the sources directly. In addition to distortion constraints at the terminals, each terminal is required to estimate the computed function value at the other terminal in a lossy fashion, leading to the constrained reconstruction constraint. A special case of constrained reconstruction is the common reconstruction constraint, in which both terminals agree on the functions computed with probability one. The terminals exchange information in multiple rate constrained communication rounds. A characterization of the multi-round rate-distortion region for the above problem with constrained reconstruction constraints is provided. To gain more insights and to highlight the value of interaction and order of communication, the rate-distortion region for computing various functions of jointly Gaussian sources according to common reconstruction constraints is studied.

Original languageEnglish (US)
Title of host publication2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
PublisherIEEE Computer Society
Pages896-900
Number of pages5
ISBN (Print)9781479934096
DOIs
StatePublished - 2013
Event51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013 - Monticello, IL, United States
Duration: Oct 2 2013Oct 4 2013

Publication series

Name2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013

Other

Other51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
CountryUnited States
CityMonticello, IL
Period10/2/1310/4/13

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

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  • Cite this

    Rezagah, F. E., & Erkip, E. (2013). Interactive function computation with reconstruction constraints. In 2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013 (pp. 896-900). [6736620] (2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013). IEEE Computer Society. https://doi.org/10.1109/Allerton.2013.6736620