A probabilistic approach to spectral graph matching

Amir Egozi, Yosi Keller, Hugo Guterman

Research output: Contribution to journalArticlepeer-review

118 Scopus citations


Spectral Matching (SM) is a computationally efficient approach to approximate the solution of pairwise matching problems that are np-hard. In this paper, we present a probabilistic interpretation of spectral matching schemes and derive a novel Probabilistic Matching (PM) scheme that is shown to outperform previous approaches. We show that spectral matching can be interpreted as a Maximum Likelihood (ML) estimate of the assignment probabilities and that the Graduated Assignment (GA) algorithm can be cast as a Maximum a Posteriori (MAP) estimator. Based on this analysis, we derive a ranking scheme for spectral matchings based on their reliability, and propose a novel iterative probabilistic matching algorithm that relaxes some of the implicit assumptions used in prior works. We experimentally show our approaches to outperform previous schemes when applied to exhaustive synthetic tests as well as the analysis of real image sequences.

Original languageEnglish
Article number6152128
Pages (from-to)18-27
Number of pages10
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Issue number1
StatePublished - 1 Jan 2013


  • Graphs
  • point matching
  • probabilistic matching
  • spectral matching

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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