Error Estimation Methods in Function Approximation

Art. 08 – Vol. 25 – No. 1 – 2015

Liviana TUDOR
Departamentul Informatică, Tehnologia Informaţiei, Matematică şi Fizică, Universitatea Petrol-Gaze din Ploieşti

Adrian MOISE
Departamentul Automatică, Calculatoare şi Electronică, Universitatea Petrol-Gaze din Ploieşti

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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