The best approximation to C/sup 2/ functions and its error bounds using regular-center Gaussian networks

Abstract

Gaussian neural networks are considered to approximate any C(2) function with support on the unit hypercube I(m)=[0, 1](m) in the sense of best approximation. An upper bound (O(N(-2))) of the approximation error is obtained in the present paper for a Gaussian network having N(m) hidden neurons with centers defined on a regular mesh in I(m).