A graph model for clustering based on mutual information

  • Authors:
  • Tetsuya Yoshida

  • Affiliations:
  • Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan

  • Venue:
  • PRICAI'10 Proceedings of the 11th Pacific Rim international conference on Trends in artificial intelligence
  • Year:
  • 2010

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Abstract

We propose a graph model for clustering based on mutual information and show that the clustering problem can be approximated as a combinatorial problem over the proposed graph model. Based on the stationary distribution induced from the problem setting, we propose a function which measures the relevance among data objects. This function enables to represent the entire objects as an edge-weighted graph, where pairs of objects are connected by the edges with their relevance. We show that, in hard assignment, the clustering problem can be approximated as a combinatorial problem over the proposed graph model when data is uniformly distributed. We demonstrate the effectiveness of the proposed approach over the document clustering problem. The results are encouraging and indicate the effectiveness of our approach.