On local and global sigma-pi neural networks. A common link

DOI10.1007/BF02521610zbMath0824.41021MaRDI QIDQ1895924

Burkhard Lenze

Publication date: 13 August 1995

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

zbMATH Keywords

neural networksglobal basis functionslocal basis functionssigma-pi networks

Mathematics Subject Classification ID

Cites Work

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• Quasi-interpolation with translates of a function having noncompact support
• Approximation by superposition of sigmoidal and radial basis functions
• Constructive methods of approximation by ridge functions and radial functions
• Approximation by multiinteger translates of functions having global support
• Approximation properties of a multilayered feedforward artificial neural network
• Partitions of Unity and Approximation
• LOCAL BEHAVIOUR OF NEURAL NETWORK OPERATORS - APPROXIMATION AND INTERPOLATION -

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