The construction and approximation of some neural network operators

DOI10.1007/s11766-012-2719-9zbMath1265.41025OpenAlexW2159380812MaRDI QIDQ1931137

Zhixiang Chen, Feilong Cao, Jianwei Zhao

Publication date: 24 January 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-012-2719-9

zbMATH Keywords

approximationsigmoidal functionBochner-Riesz meanneural network operator

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Related Items (2)

The new approximation operators with sigmoidal functions ⋮ The construction and approximation of the neural network with two weights

Cites Work

• Constructive approximate interpolation by neural networks
• The essential order of approximation for neural networks
• The approximation operators with sigmoidal functions
• Approximation by superposition of sigmoidal and radial basis functions
• Degree of approximation by neural and translation networks with a single hidden layer
• Approximation by superpositions of a sigmoidal function
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