Part of Advances in Neural Information Processing Systems 15 (NIPS 2002)
Nicholas Hughes, David Lowe
We consider the problem of illusory or artefactual structure from the vi- sualisation of high-dimensional structureless data. In particular we ex- amine the role of the distance metric in the use of topographic mappings based on the statistical ﬁeld of multidimensional scaling. We show that the use of a squared Euclidean metric (i.e. the SS TRESS measure) gives rise to an annular structure when the input data is drawn from a high- dimensional isotropic distribution, and we provide a theoretical justiﬁca- tion for this observation.