On the approximation by neural networks with bounded number of neurons in hidden layers

Approximation by superpositions of a sigmoidal function

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

Computing, Computer Science, Machine Learning +5

Approximation capabilities of multilayer feedforward networks

Kurt Hornik · Neural Networks · 1991 · 6.1K citations

Computing, Computer Science, Computer Networks +11

Approximation theory of the MLP model in neural networks

Allan Pinkus · Acta Numerica · 1999 · 1.5K citations

Computing, Computer Science, Algorithms +11

Kolmogorov's theorem and multilayer neural networks

Věra Kůrková · Neural Networks · 1992 · 753 citations

Computing, Computer Science, Mathematics +9

Approximation and estimation bounds for artificial neural networks

Andrew R. Barron · Machine Learning · 1994 · 407 citations · Full text

Computing, Computer Science, Artificial Intelligence +15