Constructive approximate interpolation by neural networks

DOI10.1016/j.cam.2005.04.019zbMath1089.65012OpenAlexW2089455490MaRDI QIDQ817488

Bernardo Llanas, Francisco Javier Sáinz

Publication date: 16 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.019

zbMATH Keywords

neural networksuniform approximationapproximate interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

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Cites Work

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• Feedforward nets for interpolation and classification
• Approximation by superposition of sigmoidal and radial basis functions
• Interpolation by ridge polynomials and its application in neural networks
• Multilayer feedforward networks are universal approximators
• Single-iteration training algorithm for multi-layer feed-forward neural networks
• Nonlinearity creates linear independence
• Limitations of the approximation capabilities of neural networks with one hidden layer
• Neural Networks for Localized Approximation
• Neural Network Learning

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