Optimum cut-based clustering

  • Authors:
  • Xiaobin Li;Zheng Tian

  • Affiliations:
  • Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, PR China;Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, PR China

  • Venue:
  • Signal Processing
  • Year:
  • 2007

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Abstract

This paper presents a new method for solving clustering problem. We treat clustering as a graph-partitioning problem and propose a new global criterion, the optimum cut, for segmenting the graph. An important feature is that optimizing the optimum cut criterion can ensure that the intra-cluster similarity is maximized while the inter-cluster similarity is minimized. We show that an efficient computational technique based on an eigenvalue problem can be used to optimize this criterion. The experimental results on a number of hard artificial and real-world data sets show the effectiveness of the approach.