References

Approximation by superpositions of a sigmoidal function

G. Cybenko (1989)

Mathematics of Control, Signals, and Systems, 2(4), 303-314.

DOI: https://doi.org/10.1007/bf02551274

Abstract. Proves the universal approximation theorem: a feedforward network with a single hidden layer of sigmoidal units can approximate any continuous function on a compact set to arbitrary accuracy, providing the theoretical basis for the expressive power of neural networks.

Tags: neural-networks theory universal-approximation

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