Artificial intelligence

Scientific journal

ISSN 2710-1673

ONLINE: ISSN 2710-1681

Select your language


Differential Models for Representation and Optimization of Architecture and State Modes of AI Networks

Stasiuk O.1, Goncharova L.2
1 Institute of artificial intelligence problems of MES and NAS of Ukraine
2 A. Pidhornyi Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine
ostasuk177@gmail.com; ktarae188@gmail.com

Full text (PDF)

UDC: 621.311
Publication Language: Ukrainian
Stuc. intelekt. 2025; 30(2):18-31

Abstract: The evolution of the mass use of artificial intelligence is analyzed, and the direction of research related to the optimization of the architecture and state modes of AI networks is substantiated. It is shown that the performance of AI networks largely depends on their topological characteristics. Their representation in the form of an unweighted and undirected graph is proposed, and a number of mathematical models for topology optimization are developed. The application of the minimax strategy for optimizing the modes of operation of AI networks in the case of the worst combination of the intensity of the transition action flow with an arbitrary counteraction flow law is substantiated. Based on the theory of differential transformations, differential mathematical models are proposed for optimizing the dynamics of the probabilities of the states of AI systems in time. To ensure the necessary productivity of information exchange in AI systems and take into account the conditional balance of traffic volume and sufficient bandwidth at all levels of the hierarchy, a new approach is proposed, which is based on methods for reducing topological network distances as the basis for reducing transit traffic.

Keywords: analysis, strategy, optimization, differential models, differential transformations, artificial intelligence, mapping, differential spectrum, traffic, graph, topological distance

References:

  1. Stratehiia rozvytku shtuchnoho intelektu v Ukraini. Za zahalnoiu redaktsiieiu A. I. Shevchenka. Vydavnytstvo «Torpeda». Kyiv – 2023 r. S 306.
  2. Stasiuk O. I. The principles of displaying innovative models of artificial intelligence in intelligent computer networks for optimizing the functioning of energy systems. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2024, No. 1, pp. 18-30. https://doi.org/10.15407/jai2024.01.018
  3. Stasyuk O. I., Goncharova L. L., Hryshchuk R. V. Mathematical models for determining the optimal cybersecurity strategy for intelligent computer networks of the railway power supply distance. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2024, No. 2, pp. 20-30. https://doi.org/10.15407/jai2024.02.020
  4. Stasyuk O. I., Goncharova L. L. Mathematical innovative and cognitive models of artificial intelligence based on the theory of differential transformations. Artificial Intelligence. National Academy of Sciences of Ukraine, Institute of Artificial Intelligence Problems of the Ministry of Education and Science of Ukraine and the National Academy of Sciences of Ukraine. 2024, No. 3, pp. 10-31. https://doi.org/10.15407/jai2024.03.010
  5. Sopel, M., Stasyuk, O., Kuznetsov, V., Goncharova, L., Hubskyi, P. Regina computer system for intelligent monitoring, diagnostics, and management of railway power supply systems Diagnostykathis link is disabled, 2021, 22(4), стр.77–88 (Scopus) (Q3). https://www.ceeol.com/search/article-detail?id=1119979
  6. Stasiuk, A., Kuznetsov, V., Goncharova, L., Hubskyi, P. Models of the computer intellectualization optimal strategy of the power supply fast-flowing technological processes of the railways traction substations. Communications -Scientific Letters of the University of Zilina, 2021, 23(2), стр. C30–C36. (Scopus) (Q3). http://komunikacie.uniza.sk/index.php/communications /article/view/1680
  7. Stasiuk O.I., Goncharova L.L. Mathematical Models and Methods for Analyzing Computer Control Networks of Railway Power Supply. New Means Cybernetics, Informatics, Computers Engineering and Systems Analysis. Springer Science+Business Media New York 2018. Volume 54, Issue 1, February 2018, Pages 165-172. (Scopus) (Q3). https://link.springer.com/article/10.1007/s10559-018-0017-0
  8. Stasiuk A. I., Hryshchuk, R. V., Goncharova L. L. Mathematical differential models and methods for assessing the cybersecurity of computer networks intelligent control of technological processes of railway power supply. New Means Cybernetics, Informatics, Computers Engineering and Systems Analysis. Springer Science+Business Media New York 2018. Volume 54, Issue 4, February 2018, Pages 671-68. (Scopus) (Q3) https://link.springer.com/article/10.1007/s10559-018-0068-2
  9. Stasiuk A. I., Hryshchuk, R. V., Goncharova L. L. A Mathematical Cybersecurity Model of a Computer Network for the Control of Power Supply of Traction Substations. Cybernetics and Systems Analysis. Springer Science+Business Media New York Volume 53, Issue 3, May 2017, Pages 476-484. https://link.springer.com/article/10.1007/s10559-017-9949-z
  10. Stasyuk, A. I., Lidiya L. Goncharova, Mathematical models and methods of the nalysis of computer networks of control of power supply of railways traction substations L.L. Journal of Automation and Information Sciencesthis link is disabled, 2017, 49(2), стр. 50–60. https://www.dl.begellhouse.com/ru/journals/2b6239406278e43e,5bdc44c95254b2ed,779791cb12ca6912.html
  11. Alexander I. Stasiuk, Lidiya L. Goncharova Mathematical Models and Methods of Formation of Intelligent Computer Networks for Control of Power Supply and Optimization of Power Consumption of Railways. Journal of Automation and Information Sciences. Begell House Inc. (США), New York, Connecticut. Volume 50, 2018 Issue 8, pages 50-65. SCOPUS, Web of Science, ISI, INIS Atomindex, io-port.net. http://www.dl.begellhouse.com/journals/2b6239406278e43e,2ec3cf2b062398ac,5e87262e3b8eefd4.html
  12. Pukhov G. E., Taylor transformations and their application in electrical engineering and electronics [in Russian], Naukova dumka, Kiev, 1978.

View full text (PDF)