SOM's mathematics

Jean-Claude Fort (1)

1 LSP - Laboratoire de Statistique et Probabilités

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.

Mots clés: magnification factor; topology preservation; grid equilibrium; limit theorems

Domaines: Autres [stat.ML]; Probabilités [math.PR]

Jean-Claude Fort. SOM's mathematics. Neural Networks, 2006, 19 (6-7), pp.812-816. ⟨10.1016/j.neunet.2006.05.025⟩. ⟨hal-00308462⟩