A Regularity Condition of the Information Matrix of a Multilayer Perceptron Network

A new look at the statistical model identification

Hirotugu Akaike · IEEE Transactions on Automatic Control · 1974 · 50.7K citations · Full text

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Multilayer feedforward networks are universal approximators

Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks · 1989 · 21.2K citations

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Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.7K citations

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On the approximate realization of continuous mappings by neural networks

Ken-ichi Funahashi · Neural Networks · 1989 · 4.2K citations

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Universal approximation bounds for superpositions of a sigmoidal function

Andrew R. Barron · IEEE Transactions on Information Theory · 1993 · 2.8K citations

Computing, Computer Science, Mathematics +13