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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 2(2), Pages 78–82
DOI: https://doi.org/10.18500/1816-9791-2013-13-2-2-78-82 (Mi isu417) 		 
Computer science

Simultaneous approximation of polynomial functions and its derivatives by feedforward artificial neural networks with one hidden layer

N. S. Uzentsova, S. P. Sidorov

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
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DOI: https://doi.org/10.18500/1816-9791-2013-13-2-2-78-82
Abstract: In this paper we propose the algorithm for finding weights of feedforward artificial neural networks with one hidden layer to approximate polynomial functions and its derivatives with a given error. We use the rational sigmoidal function as a transfer function.
Key words: neural networks, approximation.
Bibliographic databases:
Document Type: Article
UDC: 519.71+519.651
Language: Russian
Citation: N. S. Uzentsova, S. P. Sidorov, “Simultaneous approximation of polynomial functions and its derivatives by feedforward artificial neural networks with one hidden layer”, Izv. Saratov Univ. Math. Mech. Inform., 13:2(2) (2013), 78–82
Citation in format AMSBIB
\Bibitem{UzeSid13}
\by N.~S.~Uzentsova, S.~P.~Sidorov
\paper Simultaneous approximation of polynomial functions and its derivatives by feedforward artificial neural networks with one hidden layer
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 2(2)
\pages 78--82
\mathnet{http://mi.mathnet.ru/isu417}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-2-2-78-82}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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