Relaxed conditions for radial-basis function networks to be universal approximators

Approximation by superpositions of a sigmoidal function

George Cybenko · Mathematics of Control Signals and Systems · 1989 · 13.4K citations

Computational Neuroscience, Approximation Method, Inverse Problems +4

Real and Complex Analysis.

G. A. Garreau, Walter Rudin · Journal of the Royal Statistical Society Series D (The Statistician) · 1987 · 10.9K citations

Measure Theory, Infinite Dimensional Analysis, Engineering +10

Approximation capabilities of multilayer feedforward networks

Kurt Hornik · Neural Networks · 1991 · 6K citations

Approximation Capabilities, Evolving Neural Network, Machine Learning +3

Universal Approximation Using Radial-Basis-Function Networks

Jihun Park, Irwin W. Sandberg · Neural Computation · 1991 · 4K citations

Numerical Analysis, Rbf Networks, Universal Approximation +14

Orthogonal least squares learning algorithm for radial basis function networks

Sheng Chen, C.F.N. Cowan, P.M. Grant · IEEE Transactions on Neural Networks · 1991 · 3.3K citations

Support Vector Machine, Engineering, Machine Learning +14