Group average representations in Euclidean distance cones

Abstract

The set of Euclidean distance matrices has a well-known representation as a convex cone. The problems of representing the group averages of K distance matrices are discussed, but not fully resolved, in the context of SMACOF, Generalized Orthogonal Procrustes Analysis and Individual Differences Scaling. The polar (or dual) cone representation, corresponding to inner-products around a centroid, is also discussed. Some new characterisations of distance cones in terms of circumhyperspheres are presented.

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Cite this paper

@inproceedings{Albers2006GroupAR, title={Group average representations in Euclidean distance cones}, author={Casper J. Albers and Frank Critchley and John C. Gower}, year={2006} }