Maximum Margin Clustering with Multivariate Loss Function

  • Authors:
  • Bin Zhao;James Kwok;Changshui Zhang

  • Affiliations:
  • -;-;-

  • Venue:
  • ICDM '09 Proceedings of the 2009 Ninth IEEE International Conference on Data Mining
  • Year:
  • 2009

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Abstract

This paper presents a simple but powerful extension of the maximum margin clustering (MMC) algorithm that optimizes multivariate performance measure specifically defined for clustering, including Normalized Mutual In- formation, Rand Index and F-measure. Different from previous MMC algorithms that always employ the error rate as the loss function, our formulation involves a multivariate loss function that is a non-linear combination of the individual clustering results. Computationally, we propose a cutting plane algorithm to approximately solve the resulting optimization problem with a guaranteed accuracy. Experimental evaluations show clear improvements in clustering performance of our method over previous maximum margin clustering algorithms.