Comparison of function approximation with sigmoid and radial basis function networks

Gary Russell; Laurene V. Fausett

doi:10.1117/12.235903

22 March 1996 Comparison of function approximation with sigmoid and radial basis function networks

Gary Russell, Laurene V. Fausett

Proceedings Volume 2760, Applications and Science of Artificial Neural Networks II; (1996) https://doi.org/10.1117/12.235903
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

Theoretical and computational results have demonstrated that several types of neural networks have the universal approximation property, i.e., the ability to represent any continuous function to an arbitrary degree of accuracy, given enough hidden units. However, practical considerations, such as the relative advantages of different networks for function approximation using a small to moderate number of hidden units, are not as well understood. This paper presents preliminary results of investigations into the comparison of networks using sigmoidal activation functions and networks using radial basis functions. In particular, we consider the ability of several such networks to learn mappings from the unit square to the real interval [0,1].

Citation Download Citation

Gary Russell and Laurene V. Fausett "Comparison of function approximation with sigmoid and radial basis function networks", Proc. SPIE 2760, Applications and Science of Artificial Neural Networks II, (22 March 1996); https://doi.org/10.1117/12.235903

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