Invariant Hierarchical Clustering Schemes
نویسندگان
چکیده
A general parametric scheme of hierarchical clustering procedures with invariance under monotone transformations of similarity values and invariance under numeration of objects is described. This scheme consists of two steps: correction of given similarity values between objects and transitive closure of obtained valued relation. Some theoretical properties of considered scheme are studied. Different parametric classes of clustering procedures from this scheme based on perceptions like “keep similarity classes,” “break bridges between clusters,” etc. are considered. Several examples are used to illustrate the application of proposed clustering procedures to analysis of similarity structures of data.
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Hierarchical clustering schemes.
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