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GFKL
2007
Springer

Families of Dendrograms

13 years 7 months ago
Families of Dendrograms
A conceptual framework for cluster analysis from the viewpoint of p-adic geometry is introduced by describing the space of all dendrograms for n datapoints and relating it to the moduli space of p-adic Riemannian spheres with punctures using a method recently applied by Murtagh (2004b). This method embeds a dendrogram as a subtree into the Bruhat-Tits tree associated to the p-adic numbers, and goes back to Cornelissen et al. (2001) in p-adic geometry. After explaining the definitions, the concept of classifiers is discussed in the context of moduli spaces, and upper bounds for the number of hidden vertices in dendrograms are given.
Patrick Erik Bradley
Added 16 Aug 2010
Updated 16 Aug 2010
Type Conference
Year 2007
Where GFKL
Authors Patrick Erik Bradley
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