Optimal clustering method in ultrametric spaces

  • Authors:
  • S. Fouchal;M. Ahat;I. Lavallee

  • Affiliations:
  • CHArt & Laisc, Univ. of Paris 8, Paris, France;-;ESS, Univ. Cheikh Anta Diop of Dakar, Dakar, Senegal

  • Venue:
  • ISCC '11 Proceedings of the 2011 IEEE Symposium on Computers and Communications
  • Year:
  • 2011

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Abstract

Resume We propose in this paper a novel clustering algorithm in ultrametric spaces. It has a computational cost of O(n). This method is based on the ultratriangle inequality property. Using the order of ultrametric space we demonstrate that we can deduce the proximities between all data in this space with just a few informations. We present an example of our results and show the efficiency and the consistency of our algorithm compared with another.