The essential order of simultaneous approximation for neural networks

DOI10.1016/J.AMC.2007.04.017zbMath1193.41027OpenAlexW1983872997MaRDI QIDQ990650

Zong Ben Xu, Feng Jun Li

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.017

zbMATH Keywords

simultaneous approximationapproximation ordersaturationartificial neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

Neural network interpolation operators activated by smooth ramp functions ⋮ The universal approximation capabilities of double \(2\pi\)-periodic approximate identity neural networks

Cites Work

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• Simultaneous approximations of multivariate functions and their derivatives by neural networks with one hidden layer
• Simultaneous \(\mathbf L^p\)-approximation order for neural networks

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