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Minkowski Generalizations of Ward’s Method in Hierarchical Clustering

Minkowski Generalizations of Ward’s Method in Hierarchical Clustering 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Classification Springer Journals

Minkowski Generalizations of Ward’s Method in Hierarchical Clustering

Journal of Classification , Volume 31 (2) – Jul 4, 2014

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References (24)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Classification Society of North America
Subject
Statistics; Statistical Theory and Methods; Pattern Recognition; Bioinformatics; Signal, Image and Speech Processing; Psychometrics; Marketing
ISSN
0176-4268
eISSN
1432-1343
DOI
10.1007/s00357-014-9157-8
Publisher site
See Article on Publisher Site

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.

Journal

Journal of ClassificationSpringer Journals

Published: Jul 4, 2014

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