Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 81–88 (Mi into381)  

This article is cited in 5 scientific papers (total in 5 papers)

Construction of a Logical-Algebraic Corrector for Increasing Adaptive Properties of the $\Sigma\Pi$-Neuron

L. A. Lyutikova

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (245 kB) Citations (5)
References:
Abstract: In this paper, we consider the problem of constructing a correction algorithm for increasing adaptive properties of the $\Sigma\Pi$-neuron, based solely on the structure of the $\Sigma\Pi$-neuron itself. The logical-algebraic method of data analysis is used for the construction of the corrector. Comparison of advantages of the neural-network approach and the logical-algebraic method leads to the conclusion that the combined approach to the organization of neural networks improves their efficiency and allows one to state rules that reveal hidden patterns in a given subject area and thus to improve the quality of the recognition system.
Keywords: $\Sigma\Pi$-neuron, algorithm, corrector, classifier, predicate, disjunctive normal form, logical function.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03381_à
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported by the Russian Foundation for Basic Research (project No. 15-01-03381) and a fundamental scientific project of the Department of Nanotechnology and Information Technology of the Russian Academy of Sciences.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 253, Issue 4, Pages 539–546
DOI: https://doi.org/10.1007/s10958-021-05251-3
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: 68T05, 68T27
Language: Russian
Citation: L. A. Lyutikova, “Construction of a Logical-Algebraic Corrector for Increasing Adaptive Properties of the $\Sigma\Pi$-Neuron”, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 154, VINITI, Moscow, 2018, 81–88; J. Math. Sci. (N. Y.), 253:4 (2021), 539–546
Citation in format AMSBIB
\Bibitem{Lyu18}
\by L.~A.~Lyutikova
\paper Construction of a Logical-Algebraic Corrector for Increasing Adaptive Properties of the $\Sigma\Pi$-Neuron
\inbook Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 154
\pages 81--88
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into381}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3904970}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 253
\issue 4
\pages 539--546
\crossref{https://doi.org/10.1007/s10958-021-05251-3}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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