Optimal implementations of UPGMA and other common clustering algorithms

  • Authors:
  • Ilan Gronau;Shlomo Moran

  • Affiliations:
  • Technion, Israel Institute of Technology, Haifa, Israel;Technion, Israel Institute of Technology, Haifa, Israel

  • Venue:
  • Information Processing Letters
  • Year:
  • 2007

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Abstract

In this work we consider hierarchical clustering algorithms, such as UPGMA, which follow the closest-pair joining scheme. We survey optimal O(n2)-time implementations of such algorithms which use a 'locally closest' joining scheme, and specify conditions under which this relaxed joining scheme is equivalent to the original one (i.e. 'globally closest').