A VNS heuristic for escaping local extrema entrapment in normalized cut clustering

  • Authors:
  • Pierre Hansen;Manuel Ruiz;Daniel Aloise

  • Affiliations:
  • GERAD and HEC Montréal, 3000, Chemin de la Côte-Sainte-Catherine, Montréal, Québec, Canada H3T 2A7 and LIX, ícole Polytechnique, F-91128 Palaiseau, France;G-SCOP, INP Grenoble, 46, avenue Félix Viallet, 38031 Grenoble Cedex 1, France;Universidade Federal do Rio Grande do Norte, Campus Universitário s/n, Natal-RN 59072-970, Brazil

  • Venue:
  • Pattern Recognition
  • Year:
  • 2012

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Abstract

Normalized cut is one of the most popular graph clustering criteria. The main approaches proposed for its resolution are spectral clustering methods and a multilevel approach of Dhillon et al. (TPAMI 29:1944-1957, 2007), called graclus. Their aim is to obtain good solutions in a small amount of time for large instances. Metaheuristics are general frameworks for stochastic searches often employed in global optimization to improve the solutions obtained by other heuristics. Variable neighborhood search (VNS) is a metaheuristic which exploits systematically the idea of neighborhood change during the search. In this paper, we propose a VNS heuristic for normalized cut segmentation. Computational experiments show that in most cases this VNS heuristic improves significantly, and in moderate time, the solutions obtained by the current state-of-the-art algorithms, i.e., graclus and a spectral method proposed by Yu and Shi (ICCV, 2003).