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# Approximation properties of a multilayered feedforward artificial neural network

@article{Mhaskar1993ApproximationPO, title={Approximation properties of a multilayered feedforward artificial neural network}, author={Hrushikesh Narhar Mhaskar}, journal={Adv. Comput. Math.}, year={1993}, volume={1}, pages={61-80} }

- Published 1993 in Adv. Comput. Math.
DOI:10.1007/BF02070821

We prove that an artificial neural network with multiple hidden layers and a kthorder sigmoidal response function can be used to approximate any continuous function on any compact subset of a Euclidean space so as to achieve the Jackson rate of approximation. Moreover, if the function to be approximated has an analytic extension, then a nearly geometric rate of approximation can be achieved. We also discuss the problem of approximation of a compact subset of a Euclidean space with such networksâ€¦Â CONTINUE READING