Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Approximation capabilities of multilayer feedforward networks
Neural Networks
Universal approximation using radial-basis-function networks
Neural Computation
Approximation and radial-basis-function networks
Neural Computation
Approximation by superposition of sigmoidal and radial basis functions
Advances in Applied Mathematics
Some new results on neural network approximation
Neural Networks
IEEE Transactions on Neural Networks
Uniform Approximation Capabilities of Sum-of-Product and Sigma-Pi-Sigma Neural Networks
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Protection ellipsoids for stability analysis of feedforward neural-net controllers
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
An improved flux and torque estimation strategy of speed sensorless induction motor
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Robust adaptive neural networks with an online learning technique for robot control
ISNN'06 Proceedings of the Third international conference on Advnaces in Neural Networks - Volume Part II
Double approximate identity neural networks universal approximation in real lebesgue spaces
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
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In this paper, we investigate the universal approximation property of Radial Basis Function (RBF) networks. We show that RBFs are not required to be integrable for the REF networks to be universal approximators. Instead, RBF networks can uniformly approximate any continuous function on a compact set provided that the radial basis activation function is continuous almost everywhere, locally essentially bounded, and not a polynomial. The approximation in LP(µ)(1 ≤ p ∞) space is also discussed. Some experimental results are reported to illustrate our findings.