Interpolation mechanism of functional networks

Abstract

In this paper, the interpolation mechanism of functional networks is discussed. And a kind of three layers Functional networks with single input unit and single output unit and four layers functional networks with double input units and single output unit is designed, a learning algorithm for function approximation is based on minimizing a sum of squares with a unique minimum has been proposed, which can respectively approximate a given one-variable continuous function and a given two-variable continuous function satisfying given precision. Finally, several given examples show that the interpolation method is effective and practical. © Springer-Verlag Berlin Heidelberg 2005.