Degree of Approximation by Neural and Translation Networks with a Single Hidden Layer

Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks

Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks · 1990 · 2.1K citations

Computing, Computer Science, Mathematics +16

Approximate Calculation of Multiple Integrals

W. G., A. H. Stroud · Mathematics of Computation · 1973 · 1.5K citations

Natural Sciences, Computer Science, Computational Physics +11

On learning the derivatives of an unknown mapping with multilayer feedforward networks

A. Ronald Gallant, Halbert White · Neural Networks · 1992 · 317 citations

Computing, Computer Science, Mathematics +12

Multilayer feedforward networks with a nonpolynomial activation function can approximate any function

Moshe Leshno, Valdimir Ya. Lin, Allan Pinkus et al. · Neural Networks · 1993 · 288 citations · Full text

Computing, Computer Science, Mathematics +9

Approximation by superposition of sigmoidal and radial basis functions

H. N. Mhaskar, Charles A. Micchelli · Advances in Applied Mathematics · 1992 · 261 citations

Computing, Computer Science, Computational Chemistry +10