Techniques for the mathematical analysis of neural networks

DOI10.1016/0377-0427(94)90307-7zbMath0798.92001OpenAlexW2087413376MaRDI QIDQ1334771

S. W. Ellacott

Publication date: 22 September 1994

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90307-7

zbMATH Keywords

surveyrate of convergencelearning algorithmsnonlinear systemssingular value decompositionsteepest descentapproximation theorylinear filteringbackpropagationprincipal componentsalgorithmic approachexpository paperdelta rulemultilayer perceptions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (1)

Stability analysis of a three-term backpropagation algorithm

Cites Work

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• Constructive methods of approximation by ridge functions and radial functions
• Approximation properties of a multilayered feedforward artificial neural network
• Multilayer feedforward neural networks: a canonical form approximation of nonlinearity

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