SOM's mathematics
Since the discovery of the SOM's by T. Kohonen, many results that provide a better description of their behaviour have been found. Most of them are very convincing, but from a mathematical point of view, only a few are actually proved. In this paper, we make a review of some results that are still to be proved and give some framework to formulate various questions. (c) 2006 Elsevier Ltd. All rights reserved.
magnification factor grid equilibrium topology preservation limit theorems