- Published 2006

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.

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