Constructive Approximation of Discontinuous Functions by Neural Networks

Multilayer feedforward networks are universal approximators

Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks · 1989 · 21.2K citations

Computing, Computer Science, Mathematics +10

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

De-noising by soft-thresholding

David L. Donoho · IEEE Transactions on Information Theory · 1995 · 9.6K citations

Natural Sciences, Computer Science, Mathematics +11

Multilayer feedforward networks are universal approximators

HornikK., StinchcombeM., WhiteH. · Neural Networks · 1989 · 9.4K citations

Computing, Computer Science, Mathematics +10

Approximation theory of the MLP model in neural networks

Allan Pinkus · Acta Numerica · 1999 · 1.5K citations

Computing, Computer Science, Algorithms +11