An Extended Path Following Algorithm for Graph-Matching Problem

  • Authors:
  • Zhi-Yong Liu;Hong Qiao;Lei Xu

  • Affiliations:
  • Chinese Academy of Sciences, Beijing;Chinese Academy of Sciences, Beijing;Chinese University of Hong Kong, Hong Kong

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 2012

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Abstract

The path following algorithm was proposed recently to approximately solve the matching problems on undirected graph models and exhibited a state-of-the-art performance on matching accuracy. In this paper, we extend the path following algorithm to the matching problems on directed graph models by proposing a concave relaxation for the problem. Based on the concave and convex relaxations, a series of objective functions are constructed, and the Frank-Wolfe algorithm is then utilized to minimize them. Several experiments on synthetic and real data witness the validity of the extended path following algorithm.