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Piecewise hierarchical clustering
Authors:Gildas Brossier
Institution:(1) Université de Haute-Bretagne Rennes 2, 35043 Rennes cedex, France
Abstract:We consider two or more ultrametric distance matrices defined over different, possibly overlapping, subsets. These matrices are merged into one ultrametric matrix defined over the whole set. Necessary and sufficient conditions for uniqueness of the merging are established. when these conditions are not satisfied, consistent algorithms are given.The author thanks B. Monjardet and two anonymous referees for their helpful comments.
Keywords:Hierarchical clustering  Supertrees  Consensus trees  Subdomain classification
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