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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 11
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Articles

Approximation by ridge functions and neural networks with a bounded number of neurons

Vugar E. IsmailovInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Az-1141Baku, Azerbaijan.Correspondence[email protected]
Pages 2245-2260 | Received 07 Aug 2014, Accepted 13 Oct 2014, Published online: 12 Nov 2014

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Read on this site (2)

Vugar E. Ismailov. (2019) Computing the Approximation Error for Neural Networks with Weights Varying on Fixed Directions. Numerical Functional Analysis and Optimization 40:12, pages 1395-1409.
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Yazdan Bavafa-Toosi. (2017) On the theory of flexible neural networks – Part I: a survey paper. International Journal of Systems Science 48:3, pages 649-658.
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Articles from other publishers (10)

Robert Beinert. (2023) Approximation of curve-based sleeve functions in high dimensions. Advances in Computational Mathematics 49:6.
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Nikolay Kyurkchiev. A look at the smooth approximation to |f (x)| using some sigmoidal functions: Applications. A look at the smooth approximation to |f (x)| using some sigmoidal functions: Applications.
R. A. Aliev, A. A. Asgarova & V. E. Ismailov. (2021) On the Representation by Bivariate Ridge Functions. Ukrainian Mathematical Journal 73:5, pages 675-685.
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R. A. Aliev, A. A. Asgarova & V. E. Ismailov. (2021) On the representation by bivariate ridge functions. Ukrains’kyi Matematychnyi Zhurnal 73:5, pages 579-588.
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Rashid A. Aliev, Aysel A. Asgarova & Vugar E. Ismailov. (2019) A note on continuous sums of ridge functions. Journal of Approximation Theory 237, pages 210-221.
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Namig J. Guliyev & Vugar E. Ismailov. (2018) Approximation capability of two hidden layer feedforward neural networks with fixed weights. Neurocomputing 316, pages 262-269.
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Namig J. Guliyev & Vugar E. Ismailov. (2018) On the approximation by single hidden layer feedforward neural networks with fixed weights. Neural Networks 98, pages 296-304.
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Vugar E. Ismailov. (2017) A note on the equioscillation theorem for best ridge function approximation. Expositiones Mathematicae 35:3, pages 343-349.
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Aida Kh. Asgarova, Arzu M-B. Babayev & Ibrahim K. Maharov. (2017) On the error of approximation by ridge functions with two fixed directions. Tbilisi Mathematical Journal 10:2.
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Rashid A. Aliev & Vugar E. Ismailov. (2016) On a smoothness problem in ridge function representation. Advances in Applied Mathematics 73, pages 154-169.
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