Improved hidden clique detection by optimal linear fusion of multiple adjacency matrices

Himanshu Nayar, Benjamin A. Miller, Kelly Geyer, Rajmonda S. Caceres, Steven T. Smith, Raj Rao Nadakuditi

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

Abstract

Graph fusion has emerged as a promising research area for addressing challenges associated with noisy, uncertain, multi-source data. While many ad-hoc graph fusion techniques exist in the current literature, an analytical approach for analyzing the fundamentals of the graph fusion problem is lacking. We consider the setting where we are given multiple Erdos-Rényi modeled adjacency matrices containing a common hidden or planted clique. The objective is to combine them linearly so that the principal eigenvectors of the resulting matrix best reveal the vertices associated with the clique. We utilize recent results from random matrix theory to derive the optimal weighting coefficients and use these insights to develop a data-driven fusion algorithm. We demonstrate the improved performance of the algorithm relative to other simple heuristics.

Original languageEnglish
Title of host publicationConference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015
EditorsMichael B. Matthews
PublisherIEEE Computer Society
Pages1520-1524
Number of pages5
ISBN (Electronic)9781467385763
DOIs
StatePublished - 26 Feb 2016
Externally publishedYes
Event49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015 - Pacific Grove, United States
Duration: 8 Nov 201511 Nov 2015

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
Volume2016-February
ISSN (Print)1058-6393

Conference

Conference49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015
Country/TerritoryUnited States
CityPacific Grove
Period8/11/1511/11/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

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