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Neural Computation

March 1995, Vol. 7, No. 2, Pages 284-289
(doi: 10.1162/neco.1995.7.2.284)
© 1995 Massachusetts Institute of Technology
On the Ordering Conditions for Self-Organizing Maps
Article PDF (1.26 MB)
Abstract

We present a geometric interpretation of ordering in self-organizing feature maps. This view provides simpler proofs of Kohonen ordering theorem and of convergence to an ordered state in the one-dimensional case. At the same time it explains intuitively the origin of the problems in higher dimensional cases. Furthermore it provides a geometric view of the known characteristics of learning in self-organizing nets.