Approximation by superposition of sigmoidal and radial basis functions

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

On the approximate realization of continuous mappings by neural networks

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

Computing, Computer Science, Mathematics +13

Spline Functions: Basic Theory.

Philip W. Smith, Larry L. Schumaker · Mathematics of Computation · 1982 · 2.5K citations

Natural Sciences, Computational Engineering, Mathematics +17