Universal Approximation by Ridge Computational Models and Neural Networks: A Survey
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Publication:3192769
DOI10.2174/1874114200802010031zbMath1322.68157OpenAlexW2144199902MaRDI QIDQ3192769
Publication date: 14 October 2015
Published in: The Open Applied Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2174/1874114200802010031
Learning and adaptive systems in artificial intelligence (68T05) Approximation by other special function classes (41A30)
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Approximation by ridge functions and neural networks with a bounded number of neurons ⋮ Probabilistic lower bounds for approximation by shallow perceptron networks ⋮ Approximation by sums of ridge functions with fixed directions ⋮ On the theory of flexible neural networks – Part I: a survey paper ⋮ The universal approximation capabilities of double \(2\pi\)-periodic approximate identity neural networks ⋮ New insights into Witsenhausen's counterexample ⋮ Optimization based on quasi-Monte Carlo sampling to design state estimators for non-linear systems ⋮ Approximation schemes for functional optimization problems ⋮ On sharpness of error bounds for univariate approximation by single hidden layer feedforward neural networks
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