On a problem of Hornik

DOI10.1007/S10114-015-3759-XzbMath1317.68197OpenAlexW953384467MaRDI QIDQ2354173

Feilong Cao, Tingfan Xie

Publication date: 10 July 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-3759-x

zbMATH Keywords

neural networksapproximationactivation function

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Multidimensional problems (41A63) Approximation by other special function classes (41A30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Construction and approximation for a class of feedforward neural networks with sigmoidal function

Cites Work

• Approximation by Ridge functions and neural networks with one hidden layer
• Relaxed conditions for radial-basis function networks to be universal approximators.
• Multilayer feedforward networks are universal approximators
• Approximation by superpositions of a sigmoidal function
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