Younès Bennani to "Gérard H. E. Duchamp" cc Mustapha Lebbah date 21 February 2009 13:27 subject Re: Au Havre hide details 13:27 (2 hours ago) Reply Cher Gérard, Merci pour cette invitation qui nous donnera probablement l'occasion de nous connaître scientifiquement. Voici le titre et le résumé d'un travail initié avec Mustapha Lebbah. Amitiés, Younès. 3M-SOM : Learning Self Organizing Maps as a Markov Mixture Models Mustapha Lebbah and Younès Bennani Abstract: This paper describes a new algorithm to learn Self-Organizing Maps (SOM) as a Markov Mixture Models The new model that we present is valid for all structure of graphical model. 3M-SOM realizes an unsupervised learning using unlabelled evolutionary data sets, namely those that describe sequential data. We use E-M (Expectation-Maximisation) standard algorithm to maximize the likelihood. The graph structure is integrated in the parameter estimation of markov model using a neighborhood function to learn a topographic clustering. The 3M-SOM model provides a self-organizing markov model using an original learning algorithm.