Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série IPHT-STA
Domaines cond-mat
Date Lundi 2 Octobre 2017
Heure 11:00
Institut IPHT
Salle Salle Claude Itzykson, Bât. 774
Nom de l'orateur Aurélien Decelle
Prenom de l'orateur
Addresse email de l'orateur
Institution de l'orateur Lab. de Recherche en Informatique, Univ. Paris Sud, Orsay
Titre Spectral learning of Restricted Boltzmann Machines
Résumé In this presentation I will expose our recent results on the Restricted Boltzman Machine (RBM). The RBM is a generative model very similar to the Ising model, it is composed of both visible and hidden binary variables, and traditionally used in the context of machine learning. In this context, the goal is to inferred the parameters of the RBM such that it reproduces correctly a dataset's distribution. Although they have been widely used in computer science, the phase diagram of this model is not known precisely in the context of learning. In particular, it is not known how the parameters influence the learning, and what exactly is learned within the parameters of the model. In our work, we show how the SVD of the data governs the first phase of the learning and how this decomposition helps to dynamics and the equilibrium properties of the model.
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