Romanian Journal of Information Technology and Automatic Control / Vol. 25, No. 1, 2015

Error Estimation Methods in Function Approximation

Liviana TUDOR, Adrian MOISE

Abstract:

This paper presents two methods to estimating errors in functions approximation, using the numerical and neural approach. The numerical method in function approximation uses Lagrange polynomials interpolation and describes the absolute interpolation error. The neural approach proves the property of a feed-forward artificial network to be a universal approximator and presents the neural errors propagation during the training process. The experimental results highlight the advantages of the intelligent neural systems in solving problems of function approximations

Keywords:
errors, function approximation, numerical methods, Lagrange polynomial, neural approximation, Backpropagation algorithm, feed-forward neural network.

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CITE THIS PAPER AS:
Liviana TUDOR, Adrian MOISE, "Error Estimation Methods in Function Approximation", Romanian Journal of Information Technology and Automatic Control, ISSN 1220-1758, vol. 25(1), pp. 74-82, 2015.