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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018 Volume 154, Pages 81–88 (Mi into381)

This article is cited 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

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.

UDC: 519.7

MSC: 68T05, 68T27


 English version:
Journal of Mathematical Sciences (New York), 2021, 253:4, 539–546

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© Steklov Math. Inst. of RAS, 2024