Function approximation using a sinc neural network

Wael R. Elwasif; Laurene V. Fausett

doi:10.1117/12.235959

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22 March 1996 Function approximation using a sinc neural network

Wael R. Elwasif, Laurene V. Fausett

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Proceedings Volume 2760, Applications and Science of Artificial Neural Networks II; (1996) https://doi.org/10.1117/12.235959
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

Neural networks for function approximation are the basis of many applications. Such networks often use a sigmoidal activation function (e.g. tanh) or a radial basis function (e.g. gaussian). Networks have also been developed using wavelets. In this paper, we present a neural network approximation of functions of a single variable, using sinc functions for the activation functions on the hidden units. Performance of the sinc network is compared with that of a tanh network with the same number of hidden units. The sinc network generally learns the desired input-output mapping in significantly fewer epochs, and achieves a much lower total error on the testing points. The original sinc network is based on theoretical results for function representation using the Whittaker cardinal function (an infinite series expansion in terms of sinc functions). Enhancements to the original network include improved transformation of the problem domain onto the network input domain. Further work is in progress to study the use of sinc networks for mappings in higher dimension.

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Wael R. Elwasif and Laurene V. Fausett "Function approximation using a sinc neural network", Proc. SPIE 2760, Applications and Science of Artificial Neural Networks II, (22 March 1996); https://doi.org/10.1117/12.235959

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