Theoretical properties of functional Multi Layer Perceptrons.
Fabrice Rossi, Brieuc Conan‐Guez, François Fleuret · 2002
Abstract. In this paper, we study a natural extension of Multi Layer Perceptrons (MLP) to functional inputs. We show that fundamental results for numerical 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 consistent. 1