Expanding the Class of Global Objective Functions for Dissimilarity-Based Hierarchical Clustering
Sebastien Roch ()
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Sebastien Roch: University of Wisconsin–Madison
Journal of Classification, 2023, vol. 40, issue 3, No 4, 513-526
Abstract:
Abstract Recent work on dissimilarity-based hierarchical clustering has led to the introduction of global objective functions for this classical problem. Several standard approaches, such as average linkage clustering, as well as some new heuristics have been shown to provide approximation guarantees. Here, we introduce a broad new class of objective functions which satisfy desirable properties studied in prior work. Many common agglomerative and divisive clustering methods are shown to be greedy algorithms for these objectives, which are inspired by related concepts in phylogenetics.
Keywords: Hierarchical clustering; Greedy algorithms; Minimum evolution; 62H30; 68R01; 92D15 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s00357-023-09447-x
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