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Minkowski Generalizations of Ward's Method in Hierarchical Clustering

Published: 01 July 2014 Publication History

Abstract

In this paper, we consider several generalizations of the popular Ward's method for agglomerative hierarchical clustering. Our work was motivated by clustering software, such as the R function hclust, which accepts a distance matrix as input and applies Ward's definition of inter-cluster distance to produce a clustering. The standard version of Ward's method uses squared Euclidean distance to form the distance matrix. We explore the effect on the clustering of using other definitions of distance, such as the Minkowski distance.

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  1. Minkowski Generalizations of Ward's Method in Hierarchical Clustering

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    cover image Journal of Classification
    Journal of Classification  Volume 31, Issue 2
    July 2014
    137 pages
    ISSN:0176-4268
    EISSN:1432-1343
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    Springer-Verlag

    Berlin, Heidelberg

    Publication History

    Published: 01 July 2014

    Author Tags

    1. Distance matrix
    2. Minkowski distance
    3. Ward's method

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