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L’IRIT étant localisé sur plusieurs sites, ses séminaires sont organisés et ont lieu soit à l’Université Toulouse 3 Paul Sabatier (UT3), l’Université Toulouse 1 Capitole (UT1), l’INP-ENSEEIHT ou l’Université Toulouse 2 Jean Jaurès (UT2J).


SPOT Seminar : High-order multilevel optimization strategies and their application to the training of ANNs

Elisa RICCETTI - Post-doctorante IRIT - Equipe APO

Lundi 11 Mars 2019, 15h00 - 16h00
INP-ENSEEIHT, Salle des thèses
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Standard iterative optimization methods are based on the approximation of the objective function by a model, given by a truncated Taylor series. Models of order two are classically used. Recently, in the literature a unifying framework has been proposed, to extend the existing theory also to models of higher order. The use of such models comes along with higher costs. We propose a multilevel extension of such methods, to reduce the major cost per iteration, represented by the model minimization. The proposed methods rely on the knowledge of a sequence of approximations to the original objective function, defined on spaces of reduced dimension and cheaper to optimize. We also investigate the application of such techniques to problems where the variables are not related by geometrical constraints. We choose as an important representative of this class the training of artificial neural networks.