Functional networks and the lagrange polynomial interpolation

Authors:
Cristina Solares;Eduardo W. Vieira;Roberto Mínguez
Affiliations:
University of Castilla-La Mancha, Spain;University of Castilla-La Mancha, Spain;University of Castilla-La Mancha, Spain
Venue:
IDEAL'06 Proceedings of the 7th international conference on Intelligent Data Engineering and Automated Learning
Year:
2006

Citing 3
Cited 1

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Abstract

A new approach is presented for the approximation of a scalar function defined on a discrete set of points. The method is based on the application of functional networks and the Lagrange interpolation formula. The interpolation mechanism of the separable functional networks when the neuron functions are approximated by Lagrange polynomials, is explored. The coefficients of the Lagrange interpolation formula are estimated during the learning of the functional network by simply solving a linear system of equations. Finally, several examples show the effectiveness of the proposed interpolation method.