Published

Artificial Intelligence

A FUNCTIONAL EQUATION WITH POLYNOMIAL SOLUTIONS AND APPLICATION TO NEURAL NETWORKS

Published on - Comptes Rendus. Mathématique

Authors: Bruno Després, Matthieu Ancellin

See the publication on HAL DOI

We construct and discuss a functional equation with contraction property. The solutions are real univariate polynomials. The series solving the natural fixed point iterations have immediate interpretation in terms of Neural Networks with recursive properties and controlled accuracy.