@Article{Nowak2007,
author = "Nowak, Michał A.",
title = "Approximation properties of some two-layer feedforward neural networks",
journal = "Opuscula Math.",
year = "2007",
volume = "27",
number = "1",
pages = "59--72",
doi = "http://dx.doi.org/10.7494/OpMath.2007.27.1.59",
url = "http://dx.doi.org/10.7494/OpMath.2007.27.1.59",
abstract = "In this article, we present a multivariate two-layer feedforward neural networks that approximate continuous functions defined on \([0,1]^d\). We show that the \(L_1\) error of approximation is asymptotically proportional to the modulus of continuity of the underlying function taken at \(\sqrt{d}/n\), where \(n\) is the number of function values used.",
keywords = "neural networks, approximation of functions, sigmoidal function",
issn = "1232-9274"
}