Constrained Clustering Via Concavity Cuts

  • Authors:
  • Yu Xia

  • Affiliations:
  • Center of Operations Research and Econometrics (CORE), Université catholique de Louvain, 34 Voie du Roman Pays, 1348 Louvain-la-Neuve, Belgium

  • Venue:
  • CPAIOR '07 Proceedings of the 4th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
  • Year:
  • 2007

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Abstract

In this paper, we adapt Tuy's concave cutting plane method to the problem of finding an optimal grouping of semi-supervised clustering. We also give properties of local optimal solutions to the semi-supervised clustering. On test data sets with up to 1500 points, our algorithm typically find a solution with objective value around 2% smaller of the initial function value than that obtained by k-means algorithm within 4 seconds, although the run time is hundred times of that of the k-means algorithm.