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/sup 2/ function with support on the unit hypercube I/sub m/=[0,1]/sup m/ in the sense of best approximation. An upper bound (0(N/sup -2/)) of the approximation error is obtained in the present paper for a Gaussian network having N/sup m/ hidden neurons with centers defined on a regular mesh in I/sub m/.<>