Compressive network analysis

Xiaoye Jiang*, Yuan Yao, Han Liu, Leonidas Guibas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Modern data acquisition routinely produces massive amounts of network data. Though many methods and models have been proposed to analyze such data, the research of network data is largely disconnected with the classical theory of statistical learning and signal processing. In this paper, we present a new framework for modeling network data, which connects two seemingly different areas: network data analysis and compressed sensing. From a nonparametric perspective, we model an observed network using a large dictionary. In particular, we consider the network clique detection problem and show connections between our formulation with a new algebraic tool, namely Randon basis pursuit in homogeneous spaces. Such a connection allows us to identify rigorous recovery conditions for clique detection problems. Though this paper is mainly conceptual, we also develop practical approximation algorithms for solving empirical problems and demonstrate their usefulness on real-world datasets.

Original languageEnglish (US)
Article number6883133
Pages (from-to)2946-2961
Number of pages16
JournalIEEE Transactions on Automatic Control
Volume59
Issue number11
DOIs
StatePublished - Nov 1 2014

Keywords

  • Clique detection
  • compressive sensing
  • network data analysis
  • Radon basis pursuit
  • restricted isometry property

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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