On the Best Approximation by Ridge Functions in the Uniform Norm

Approximation theory of the MLP model in neural networks

Allan Pinkus · Acta Numerica · 1999 · 1.5K citations

Computing, Computer Science, Algorithms +11

Neural Networks for Optimal Approximation of Smooth and Analytic Functions

H. N. Mhaskar · Neural Computation · 1996 · 341 citations

Computing, Computer Science, Mathematics +16

Optimal nonlinear approximation

Ronald DeVore, Ralph Howard, Charles A. Micchelli · manuscripta mathematica · 1989 · 232 citations

EXTREMAL PROPERTIES OF ORTHOGONAL PARALLELEPIPEDS AND THEIR APPLICATIONS TO THE GEOMETRY OF BANACH SPACES

E. D. Gluskin · Mathematics of the USSR-Sbornik · 1989 · 149 citations

Natural Sciences, Computer Science, Computational Geometry +6

Approximation by Ridge Functions and Neural Networks

Pencho Petrushev · SIAM Journal on Mathematical Analysis · 1998 · 121 citations

Computing, Computer Science, Mathematics +11