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Economic Analysis: Theory and Practice
 

Neural network research on the digital transformation of industry

ISSUE 1, JANUARY 2026

Received: 8 December 2025

Accepted: 29 December 2025

Available online: 29 January 2026

Subject Heading: ANALYSIS OF INDUSTRIAL CAPITAL

JEL Classification: С45, O30, R11

Pages: 4-18

https://doi.org/10.24891/kvbefj

Nikolai P. LYUBUSHIN Corresponding author, Voronezh State University (VSU), Voronezh, Russian Federation
e-mail: lubushinnp@mail.ru

https://orcid.org/0000-0002-4493-2278

Elena N. LETYAGINA National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation
len@fks.unn.ru

https://orcid.org/0000-0002-6539-6988

Valentina I. PEROVA National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation
perova_vi@mail.ru

https://orcid.org/0000-0002-1992-5076

Subject. A study of the state of the industrial sector of the economy of the regions of the Russian Federation in order to enhance digital transformation as one of the innovative tools that determine sustainable development and technological leadership of the State.
Objectives. Solving the multi–criteria problem of analyzing the development of the digital transformation of industry in the subjects of the Russian Federation, which is a task characterized by non-trivial formalization by means of the proposed modern practical method – cluster data analysis based on neural network modeling. 85 out of 89 regions of Russia were selected as research objects, qualified by 14 official criteria presented on the website of the Federal State Statistics Service. An overview of scientific publications by Russian and foreign authors is provided from the perspective of priority approaches to the development of digital transformation of the real sector of the economy. In order to promote digital transformation, dynamic indicators of the use of digital technologies and the use of industrial robots by organizations within the federal districts of Russia are presented.
Methods. To study the multifaceted statistical parameters, the method of neural network cluster analysis using information technology is used. The clustering method through neural network modeling is not burdened with restrictive barriers. At the same time, there is no interference from the external environment in the work of the self-organizing artificial neural network. This method provides a visual representation on the plane of the results of neural network cluster analysis.
Results. As a result of clusterization, the regions of the Russian Federation were divided into eight cluster formations. The hypothesis put forward in the work about the discrepancy between the structure of clusters and the structure of the federal districts of the Russian Federation is confirmed. A significantly different volume of clusters was obtained: the amplitude of the change in the number of subjects in the clusters is 20. A diverse level of development of the digital transformation of industry has been identified in accordance with the considered indicators on a cluster scale.
Conclusions. The application of a progressive research method for the digital transformation of the industry of the Russian Federation, created on the basis of neural network modeling and information technology, is presented. The results of the work made it possible to assess the state of digital transformation in the real sector of the economy among the major challenges from external sources. When solving tasks to promote the strengthening of the country's technological leadership in the context of national goals, it is necessary to use various core areas of digital transformation of the industrial sector in the constituent entities of the Russian Federation, taking into account their specifics in the space of cluster formations.

Keywords: digital transformation, industry, innovation, cluster analysis, neural networks

References:

  1. Lyubushin N.P., Babicheva N.E., Korolev D.S. [Economic analysis of Russia's technological development opportunities (using nanotechnology as an example)]. Ekonomicheskii analiz: teoriya i praktika, 2012, no. 9, pp. 2–11. (In Russ.) EDN: OPFGSV
  2. Trofimov O.V., Ganin A.N. [Conceptual bases of modernization of enterprises of radio-electronic industry in modern conditions]. Rossiiskoe predprinimatel'stvo, 2018, vol. 19, no. 12, pp. 3787–3798. (In Russ.) DOI: 10.18334/rp.19.12.39633 EDN: YYFPED
  3. Kogdenko V.G. [A methodology to assess indicators of technological development of the industry: the electronics industry case]. Ekonomicheskii analiz: teoriya i praktika, 2024, vol. 23, no. 10, pp. 1810–1835. (In Russ.) DOI: 10.24891/ea.23.10.1810 EDN: KPAXLV
  4. Trofimov O.V., Frolov V.G., Klimova E.Z. [Analysis of the features of development of high-technological enterprises of the industry in the economy of Nizhny Novgorod region]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Sotsial'nye nauki, 2021, vol. 61, no. 1, pp. 33–38. (In Russ.) DOI: 10.52452/18115942_2021_1_33 EDN: DGXBXB
  5. Swapan Ghosh, Hughes M., Hodgkinson I., Hughes P. Digital transformation of industrial businesses: A dynamic capability approach. Technovation, 2022, vol. 113, no. 102414. DOI: 10.1016/j.technovation.2021.102414
  6. Frank A.G., Mendes G.H.S., Ayala N.F., Ghezzi A. Servitization and Industry 4.0 convergence in the digital transformation of product firms: a business model innovation perspective. Technological Forecasting and Social Change, 2019, vol. 141, pp. 341–351. DOI: 10.1016/j.techfore.2019.01.014
  7. Afonasova M.A. [System management of the development of the manufacturing industry in the conditions of digitization and technological modernization]. Vestnik Altaiskoi akademii ekonomiki i prava, 2024, no. 12-1, pp. 31–35. (In Russ.) DOI: 10.17513/vaael.3862 EDN: ODNIOM
  8. Zharina N.A., Skremetov N.A., Velibekova A.A. [Strategic industrial management under the influence of digitalization processes]. Ekonomika i upravlenie: problemy, resheniya, 2025, vol. 14, no. 4, pp. 295–302. (In Russ.) DOI: 10.36871/ek.up.p.r.2025.04.14.032 EDN: VPVSAO
  9. Tronin S.A., Botsvaku A. [Modelling the impact of digitalization on productivity growth in Russian industry until 2030]. Kuznechno-shtampovochnoe proizvodstvo. Obrabotka materialov davleniem, 2024, no. 2, pp. 83–92. (In Russ.) EDN: YTSJLW
  10. Kryukov V.V., Razumova Yu.V., Soldatova L.S. [Project-based management of digital transformation as a prerequisite for the companies' sustainable development]. Kreativnaya ekonomika, 2022, vol. 16, no. 11, pp. 4251–4264. (In Russ.) DOI: 10.18334/ce.16.11.116531 EDN: FCTUBJ
  11. Xu Zhao, Qi-an Chen, Haitao Zhang et al. A study on the influencing factors of corporate digital transformation: empirical evidence from Chinese listed companies. Scientific Reports, 2024, vol. 14, no. 6243. DOI: 10.1038/s41598-024-56729-4
  12. Matsko N.A., Kharitonova M.Yu. [Digitalization of the mining industryand the state of the mineral resource base]. Izvestiya Dal'nevostochnogo federal'nogo universiteta. Ekonomika i upravlenie, 2022, no. 3, pp. 37–47. (In Russ.) DOI: 10.24866/2311-2271/2022-3/37-47 EDN: ZUAFES
  13. Letyagina E.N. [Evaluation of economic efficiency of innovations in power generation industry]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2010, no. 3-2, pp. 520–522. (In Russ.) EDN: NCTOPV
  14. Letyagina E.N. Upravlenie tsifrovoi transformatsiei otraslei, kompleksov, predpriyatii: monografiya [Management of digital transformation of industries, complexes, enterprises: a monograph]. Nizhny Novgorod, UNN Publ., 2021, 240 p.
  15. Nikitin G.S., Skobelev D.O. [Efficiency of state and corporate investments in the development of the real sector of the economy]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Sotsial'nye nauki, 2022, no. 4, pp. 32–41. (In Russ.) DOI: 10.52452/18115942_2022_4_32 EDN: EIBCZN
  16. Trofimov O.V., Saakyan A.G. [Import substitution policy at the enterprises of the Russian military-industrial complex]. Vestnik Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo. Seriya: Sotsial'nye nauki, 2022, no. 3, pp. 44–49. (In Russ.) DOI: 10.52452/18115942_2022_3_44 EDN: IRKMLP
  17. Malkina M.Yu. [Industry of Russian regions under new Anti-Russian sanctions]. Prostranstvennaya ekonomika, 2024, vol. 20, no. 3, pp. 39–66. (In Russ.) DOI: 10.14530/se.2024.3.039-066 EDN: DNNMZK
  18. Zakharov V.Ya., Frolov V.G., Trofimov O.V. [Methodological aspects of digital transformation of complex economic systems in industry]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Sotsial'nye nauki, 2020, no. 2, pp. 14–24. (In Russ.) EDN: PRROCR
  19. Lyubushin N.P., Letyagina E.N., Perova V.I. [Studying the innovative development of regional economy as an imperative of sustainable socio-economic growth in Russia, using neural network modeling]. Ekonomicheskii analiz: teoriya i praktika, 2021, vol. 20, no. 8, pp. 1394–1414. (In Russ.) DOI: 10.24891/ea.20.8.1394 EDN: KKGIWK
  20. Perova V.I., Plekhova Yu.O. [Artificial intelligence methods in the research of economic activity of the subjects of the Russian Federation in the context of strengthening the country's technological leadership]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Sotsial'nye nauki, 2024, no. 3, pp. 42–49. (In Russ.) DOI: 10.52452/18115942_2024_3_42 EDN: JQKVQV
  21. Edronova V.N. [First results of implementing the national strategy for artificial intelligence development]. Ekonomicheskii analiz: teoriya i praktika, 2024, vol. 23, no. 3, pp. 490–511. (In Russ.) DOI: 10.24891/ea.23.3.490 EDN: CHPHMC
  22. Brikach G.E., Strokov A.A. [Increasing the economic security of a commercial organization using the capabilities of artificial intelligence]. Na strazhe ekonomiki, 2024, no. 4, pp. 24–31. (In Russ.) DOI: 10.36511/2588-0071-2024-4-24-31 EDN: SZMGMF
  23. Malkina M.Yu., Plekhova Yu.O., Perova V.I., Sochkov A.L. [Studying the influence of the sectoral structure of Russian regions on their economic development using artificial intelligence methods]. Ekonomicheskii analiz: teoriya i praktika, 2025, vol. 24, no. 2, pp. 123–143. (In Russ.) DOI: 10.24891/ea.24.2.123 EDN: YCLCJX
  24. Plekhova Yu.O., Perova V.I. [Innovative method of analyzing the management of socio-economic development of Russian regions by means of neural network modeling]. Voprosy innovatsionnoi ekonomiki, 2025, vol. 15, no. 1, pp. 125–144. (In Russ.) DOI: 10.18334/vinec.15.1.122530 EDN: LHRJVC
  25. Kohonen T., Oja E., Simula O. et al. Engineering applications of the self-organizing map. Proceedings of the IEEE, 1996, vol. 84, no. 10, pp. 1358–1384. DOI: 10.1109/5.537105
  26. Ning Chen, Lu Chen, Yingchao Ma, An Chen. Regional disaster risk assessment of China based on self-organizing map: Clustering, visualization and ranking. International Journal of Disaster Risk Reduction, 2019, vol. 33, pp. 196–206. DOI: 10.1016/j.ijdrr.2018.10.005
  27. Kaufman L., Rousseeuw P. Finding groups in data: An introduction to cluster analysis. Hoboken, NJ, John Wiley & Sons Inc., 2005, 342 p.

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