Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Multilayer feedforward networks are universal approximators
Neural Networks
Universal approximation using radial-basis-function networks
Neural Computation
Approximation theory and feedforward networks
Neural Networks
Kolmogorov's theorem and multilayer neural networks
Neural Networks
Three learning phases for radial-basis-function networks
Neural Networks
Meshfree Approximation Methods with MATLAB
Meshfree Approximation Methods with MATLAB
An integral upper bound for neural network approximation
Neural Computation
On a Variational Norm Tailored to Variable-Basis Approximation Schemes
IEEE Transactions on Information Theory
Universal approximation bounds for superpositions of a sigmoidal function
IEEE Transactions on Information Theory
Full length article: A scheme for interpolation by Hankel translates of a basis function
Journal of Approximation Theory
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We prove that, under certain mild conditions on the kernel function (or activation function), the family of radial basis function neural networks obtained by replacing the usual translation with the Delsarte one, and taking the same smoothing factor in all kernel nodes, has the universal approximation property.