Neural network with unbounded activation functions is universal approximator

On the approximate realization of continuous mappings by neural networks

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

Computing, Computer Science, Mathematics +13

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

The Fourier reconstruction of a head section

L. A. Shepp, B. F. Logan · IEEE Transactions on Nuclear Science · 1974 · 2.2K citations

Medicine, Biomedical Engineering, Radiology +15

Approximation theory of the MLP model in neural networks

Allan Pinkus · Acta Numerica · 1999 · 1.5K citations

Computing, Computer Science, Algorithms +11

A Simple Lemma on Greedy Approximation in Hilbert Space and Convergence Rates for Projection Pursuit Regression and Neural Network Training

Lee Jones · The Annals of Statistics · 1992 · 479 citations · Full text

Computing, Computer Science, Algorithms +16