Feedforward nets for interpolation and classification
Journal of Computer and System Sciences
Interpolation by ridge polynomials and its application in neural networks
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
Constructive approximate interpolation by neural networks
Journal of Computational and Applied Mathematics
Interpolation representation of feedforward neural networks
Mathematical and Computer Modelling: An International Journal
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In this paper, we construct two types of feed-forward neural networks (FNNs) which can approximately interpolate, with arbitrary precision, any set of distinct data in the metric space. Firstly, for analytic activation function, an approximate interpolation FNN is constructed in the metric space, and the approximate error for this network is deduced by using Taylor formula. Secondly, for a bounded sigmoidal activation function, exact interpolation and approximate interpolation FNNs are constructed in the metric space. Also the error between the exact and approximate interpolation FNNs is given.