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Avtomatika i Telemekhanika, 2022, Issue 10, Pages 144–155
DOI: https://doi.org/10.31857/S0005231022100130
(Mi at16058)
 

This article is cited in 2 scientific papers (total in 2 papers)

Topical issue

Entropy modeling of network structures

A. N. Tyrsinab

a Ural Federal University, Yekaterinburg, 620002 Russia
b Scientific and Engineering Center “Reliability and Resource of Large Systems and Machines,” Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620049 Russia
References:
Abstract: Currently, entropy is quite often used to describe complex systems in various fields. The questions of using differential entropy for network structures presented in the form of connected graphs with correlations are considered. It is well known that the entropy of a continuous random vector can be split into two components, the entropy of randomness and the entropy of self-organization. Along with the assessment of the entropy itself, other useful characteristics have been proposed for network structures, the entropy measure of the relationship between several subsystems and the entropy of the system at a separate vertex; these expand the possibilities of entropy modeling for the study of network structures and allow estimating the interconnection of different sections with each other and determining how entropy within such systems changes. Examples on model data are considered.
Keywords: network structure, random vector, differential entropy, graph, system, subsystem, interconnection.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-00001
This work was supported by the Russian Foundation for Basic Research, project no. 20-51-00001.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 23.01.2022
Revised: 11.06.2022
Accepted: 29.06.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 10, Pages 1608–1618
DOI: https://doi.org/10.1134/S00051179220100137
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Tyrsin, “Entropy modeling of network structures”, Avtomat. i Telemekh., 2022, no. 10, 144–155; Autom. Remote Control, 83:10 (2022), 1608–1618
Citation in format AMSBIB
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\by A.~N.~Tyrsin
\paper Entropy modeling of network structures
\jour Avtomat. i Telemekh.
\yr 2022
\issue 10
\pages 144--155
\mathnet{http://mi.mathnet.ru/at16058}
\crossref{https://doi.org/10.31857/S0005231022100130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529668}
\edn{https://elibrary.ru/ALLDVU}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 10
\pages 1608--1618
\crossref{https://doi.org/10.1134/S00051179220100137}
Linking options:
  • https://www.mathnet.ru/eng/at16058
  • https://www.mathnet.ru/eng/at/y2022/i10/p144
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:83
    References:25
    First page:14
     
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