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Versatile Linkage: a Family of Space-Conserving Strategies for Agglomerative Hierarchical Clustering

Author

Listed:
  • Alberto Fernández

    (Universitat Rovira i Virgili)

  • Sergio Gómez

    (Universitat Rovira i Virgili)

Abstract

Agglomerative hierarchical clustering can be implemented with several strategies that differ in the way elements of a collection are grouped together to build a hierarchy of clusters. Here we introduce versatile linkage, a new infinite system of agglomerative hierarchical clustering strategies based on generalized means, which go from single linkage to complete linkage, passing through arithmetic average linkage and other clustering methods yet unexplored such as geometric linkage and harmonic linkage. We compare the different clustering strategies in terms of cophenetic correlation, mean absolute error, and also tree balance and space distortion, two new measures proposed to describe hierarchical trees. Unlike the β-flexible clustering system, we show that the versatile linkage family is space-conserving.

Suggested Citation

  • Alberto Fernández & Sergio Gómez, 2020. "Versatile Linkage: a Family of Space-Conserving Strategies for Agglomerative Hierarchical Clustering," Journal of Classification, Springer;The Classification Society, vol. 37(3), pages 584-597, October.
    • Handle: RePEc:spr:jclass:v:37:y:2020:i:3:d:10.1007_s00357-019-09339-z
    DOI: 10.1007/s00357-019-09339-z
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    References listed on IDEAS

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    1. Pedro Contreras & Fionn Murtagh, 2012. "Fast, Linear Time Hierarchical Clustering using the Baire Metric," Journal of Classification, Springer;The Classification Society, vol. 29(2), pages 118-143, July.
    2. William Day & Herbert Edelsbrunner, 1984. "Efficient algorithms for agglomerative hierarchical clustering methods," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 7-24, December.
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