Bouton, Catherine; Pagès, Gilles - In: Stochastic Processes and their Applications 47 (1993) 2, pp. 249-274
This paper shows that the 2-neighbour Kohonen algorithm is self-organizing under pretty general assumptions on the stimuli distribution [mu] (supp([mu]c) contains a non-empty open set) and is a.s. convergent--in a weakened sense--as soon as [mu] admits a log-concave density. The 0-neighbour...