Some new results on neural network approximation

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

Multilayer feedforward networks are universal approximators

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

Computing, Computer Science, Mathematics +10

Approximation capabilities of multilayer feedforward networks

Kurt Hornik · Neural Networks · 1991 · 6.1K citations

Computing, Computer Science, Computer Networks +11

On the approximate realization of continuous mappings by neural networks

Ken-ichi Funahashi · Neural Networks · 1989 · 4.2K citations

Computing, Computer Science, Mathematics +13