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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2022 Issue 10, Pages 144–155 (Mi at16058)

This article is cited in 3 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

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.

Presented by the member of Editorial Board: A. A. Lazarev

Received: 23.01.2022
Revised: 11.06.2022
Accepted: 29.06.2022

DOI: 10.31857/S0005231022100130


 English version:
Automation and Remote Control, 2022, 83:10, 1608–1618

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© Steklov Math. Inst. of RAS, 2026