TDI-subspaces of \(C(\mathbb{R}^ d)\) and some density problems from neural networks

DOI10.1006/jath.1996.0042zbMath0858.41023OpenAlexW2052742287MaRDI QIDQ1915579

Allan Pinkus

Publication date: 5 August 1996

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.0042

zbMATH Keywords

density problemdilation invariant space

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Related Items (8)

On the closure of translation-dilation invariant linear spaces of polynomials ⋮ The role of nonpolynomiality in uniform approximation by RBF networks of Hankel translates ⋮ Representation of polynomials by linear combinations of radial basis functions ⋮ \(L^p\) approximation capability of RBF neural networks ⋮ Some problems in the theory of ridge functions ⋮ Radial basis function neural networks of Hankel translates as universal approximators ⋮ On best approximation of classes by radial functions ⋮ Universal approximations of invariant maps by neural networks

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