Approximation by ridge functions and neural networks with one hidden layer

Original Contribution: Multilayer feedforward networks with a nonpolynomial activation function can approximate any function

Neural Networks

Analysis of Tikhonov regularization for function approximation by neural networks

Neural Networks

Sigmoidal Function Classes for Feedforward Artificial Neural Networks

Neural Processing Letters

Simultaneous Lp-approximation order for neural networks

Neural Networks

Characterization of an extremal sum of ridge functions

Journal of Computational and Applied Mathematics

The estimate for approximation error of neural networks: A constructive approach

Neurocomputing

On the representation by linear superpositions

Journal of Approximation Theory

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

The approximation operators with sigmoidal functions

Computers & Mathematics with Applications

An approximation by neural networkswith a fixed weight

Computers & Mathematics with Applications

The errors in simultaneous approximation by feed-forward neural networks

Neurocomputing

New study on neural networks: the essential order of approximation

Neural Networks

Approximation capability of interpolation neural networks

Neurocomputing

Multivariate sigmoidal neural network approximation

Neural Networks

The errors of simultaneous approximation of multivariate functions by neural networks

Computers & Mathematics with Applications

Essential rate for approximation by spherical neural networks

Neural Networks

The essential approximation order for neural networks with trigonometric hidden layer units

ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I

The errors of approximation for feedforward neural networks in the Lp metric

Mathematical and Computer Modelling: An International Journal

Analysis of convergence performance of neural networks ranking algorithm

Neural Networks

Multivariate neural network operators with sigmoidal activation functions

Neural Networks