Selecting observers for source localization via error exponents

  • Sabina Zejnilović
  • , João Xavier
  • , João Gomes
  • , Bruno Sinopoli

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Scopus citations

Abstract

In today's large social and technological networks, since it is unfeasible to observe all the nodes, the source of diffusion is determined based on the observations of a subset of nodes. The probability of source localization error depends on the particular choice of observer nodes. We propose a criterion for observer node selection based on the minimal pairwise Chernoff distance between distributions of different source candidates. The proposed approach is optimal for the fastest error decay with vanishing noise. Although suboptimal for non-negligible noise, through simulation, we demonstrate its applicability in achieving low error probability. We also analyze the effect of network topology on the resulting error by bounding the smallest Chernoff distance for some specific networks.

Original languageEnglish
Title of host publicationProceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2914-2918
Number of pages5
ISBN (Electronic)9781467377041
DOIs
StatePublished - Sep 28 2015
EventIEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong
Duration: Jun 14 2015Jun 19 2015

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2015-June
ISSN (Print)2157-8095

Conference

ConferenceIEEE International Symposium on Information Theory, ISIT 2015
Country/TerritoryHong Kong
CityHong Kong
Period06/14/1506/19/15

Keywords

  • error exponent
  • graphs
  • multiple hypothesis testing
  • source localization
  • subset selection

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