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Multilayer feedforward networks are universal approximators. (English) Zbl 1383.92015
Summary: This paper rigorously establishes that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available. In this sense, multilayer feedforward networks are a class of universal approximators.

MSC:
92B20 Neural networks for/in biological studies, artificial life and related topics
41A05 Interpolation in approximation theory
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