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math.FA2020
On Sharpness of Error Bounds for Multivariate Neural Network Approximation
Steffen Goebbels
Single hidden layer feedforward neural networks can represent multivariate functions that are sums of ridge functions. These ridge functions are defined via an activation function…
math.FA2018
On Sharpness of Error Bounds for Single Hidden Layer Feedforward Neural Networks
Steffen Goebbels
A new non-linear variant of a quantitative extension of the uniform boundedness principle is used to show sharpness of error bounds for univariate approximation by sums of sigmoid…