Uniform Approximation by Neural Networks

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

On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

Vladimir Vapnik, Alexey Chervonenkis · Theory of Probability and Its Applications · 1971 · 2.4K citations

Natural Sciences, Mathematics, Physics +14

Lower bounds for approximation by nonlinear manifolds

Hugh E. Warren · Transactions of the American Mathematical Society · 1968 · 224 citations

Computing, Mathematics, Algorithms +9

Random Approximants and Neural Networks

Yuly Makovoz · Journal of Approximation Theory · 1996 · 124 citations

Computing, Computer Science, Mathematics +8

Nonlinear Approximation by Trigonometric Sums

Ronald DeVore, Vladimir Temlyakov · Journal of Fourier Analysis and Applications · 1995 · 92 citations

Computing, Computer Science, Mathematics +10