An improved spectral clustering algorithm based on random walk

  • Authors:
  • Xianchao Zhang;Quanzeng You

  • Affiliations:
  • School of Software, Dalian University of Technology, Dalian, China 116623;School of Software, Dalian University of Technology, Dalian, China 116623

  • Venue:
  • Frontiers of Computer Science in China
  • Year:
  • 2011

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Abstract

The construction process for a similarity matrix has an important impact on the performance of spectral clustering algorithms. In this paper, we propose a random walk based approach to process the Gaussian kernel similarity matrix. In this method, the pair-wise similarity between two data points is not only related to the two points, but also related to their neighbors. As a result, the new similarity matrix is closer to the ideal matrix which can provide the best clustering result. We give a theoretical analysis of the similarity matrix and apply this similarity matrix to spectral clustering. We also propose a method to handle noisy items which may cause deterioration of clustering performance. Experimental results on real-world data sets show that the proposed spectral clustering algorithm significantly outperforms existing algorithms.