Theory of a probabilistic-dependence measure of dissimilarity among multiple clusters

  • Authors:
  • Kazunori Iwata;Akira Hayashi

  • Affiliations:
  • Faculty of Information Sciences, Hiroshima City University, Hiroshima, Japan;Faculty of Information Sciences, Hiroshima City University, Hiroshima, Japan

  • Venue:
  • ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part II
  • Year:
  • 2006

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Abstract

We introduce novel dissimilarity to properly measure dissimilarity among multiple clusters when each cluster is characterized by a probability distribution. This measure of dissimilarity is called redundancy-based dissimilarity among probability distributions. From aspects of source coding, a statistical hypothesis test and a connection with Ward's method, we shed light on the theoretical reasons that the redundancy-based dissimilarity among probability distributions is a reasonable measure of dissimilarity among clusters.