Hyperbolic sigma-pi neural network operators for compactly supported continuous functions

DOI10.1007/BF02124741zbMath0856.41016MaRDI QIDQ1923886

Burkhard Lenze

Publication date: 3 February 1997

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

sigmoidal functionneural network operator\(\Delta\)-Lipschitz continuous functionlinear hyperbolic-type operators

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)

Cites Work

• Approximation by Ridge functions and neural networks with one hidden layer
• Approximation by superposition of sigmoidal and radial basis functions
• Multilayer feedforward networks are universal approximators
• Note on a Density Question for Neural Networks
• Approximation by superpositions of a sigmoidal function
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