Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : In this paper, we study a natural extension of Multi-Layer Perceptrons (MLP) to functional inputs. We show that fundamental results for classical MLP can be extended to functional MLP. We obtain universal approximation results that show the expressive power of functional MLP is comparable to the one of numerical MLP. We obtain consistency results which imply that optimal parameters estimation for functional MLP is statistically well defined.
 
 
FUNCTIONAL MULTI-LAYER PERCEPTRONS
CONAN-GUEZ Brieuc, FLEURET Fran├žois, ROSSI Fabrice
2001-34
08-11-2001
 
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