Enăchescu C. 2008. Approximation capabilities of neural networks. JNAIAM 3(34):221230.
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Approximation Capabilities of Neural Networks. C. Enăchescu, Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM), vol. 3, no. 34, 2008, pp. 221230
From the learning point of view, the approximation of a function is equivalent with the learning problem of a neural network. In this paper we want to show the capabilities of a neural network to approximate arbitrary continuous functions. We have made some experiments in order to confirm the theoretical results.
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is a continuous function
Neural Network and Best Approximation Theory
Given and we call the distance of f from A as