Partial dissimilarities with application to clustering |
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Authors: | Gildas Brossier |
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Institution: | (1) Present address: Université de Rennes 2 Haute Bretagne, 35043 Rennes, France |
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Abstract: | We consider dissimilarities which are defined only on some pairs of items. Such situations may occur in some problems like unfolding or merging, or can be encountered as an intermediate step of a more general transformation. We give necessary and sufficient conditions for the existence of extensions with good properties and characterize the family of such extensions. Using partial dissimilarities we construct a dissimilarity-into-distance transformation family.The author thanks the editor and two anonymous referees for their suggestions and their helpful comments. |
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Keywords: | Dissimilarity Partial dissimularity Distance Distance transformation Clustering Missing data |
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