Pointwise and uniform approximation by multivariate neural network operators of the max-product type.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

In this article, the theory of multivariate max-product neural network (NN) and quasi-interpolation operators has been introduced. Pointwise and uniform approximation results have been proved, together with estimates concerning the rate of convergence. At the end, several examples of sigmoidal activation functions have been provided.

Authors

  • Danilo Costarelli
    Department of Mathematics and Computer Science, University of Perugia, 1, Via Vanvitelli, 06123 Perugia, Italy. Electronic address: danilo.costarelli@unipg.it.
  • Gianluca Vinti
    Department of Mathematics and Computer Science, University of Perugia, 1, Via Vanvitelli, 06123 Perugia, Italy. Electronic address: gianluca.vinti@unipg.it.