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Modelling and Data Analysis
2023. Vol. 13, no. 4, 176–182
https://doi.org/10.17759/mda.2023130411
ISSN: 2219-3758 / 2311-9454 (online)

Discriminant Analysis Based on Kohonen Statistics

 
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Abstract

The paper describes a new method of discriminant analysis based on T. Kohonen's neural networks. The analysis algorithm and its advantages are considered.

General Information

Keywords: discriminant analysis, Kohonen’s self-organizing maps

Journal rubric: Short Messages

OpenAlex citations: 0

OpenAlex trends: Neural Networks and Applications, Advanced Algorithms and Applications, Advanced Computational Techniques and Applications

Information about the work in OpenAlex

Number of citations: 0

Topics

Neural Networks and Applications

This cluster of papers covers a wide range of topics related to neural networks, including backpropagation learning, self-organizing maps, radial basis function networks, deep learning, and applications such as pattern classification and function approximation.

Number of works: 253125  |  Total number of citations: 4493057

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Advanced Algorithms and Applications

This cluster of papers focuses on the application of control systems, neural networks, and advanced algorithms in various domains such as industrial processes, environmental monitoring, networked manufacturing, and robotic systems. The research spans topics like PID control, support vector machines, fuzzy logic, genetic algorithms, wireless sensor networks, remote sensing, and Internet of Things.

Number of works: 109479  |  Total number of citations: 171826

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Advanced Computational Techniques and Applications

This cluster of papers covers a wide range of topics related to artificial intelligence, expert systems, machine learning, control systems, fault diagnosis, ontology, and spatial information. It explores applications such as wavelet analysis, bioenergy, small business strategies, and multidisciplinary design optimization. The papers also delve into topics like language, logic, fluid mechanics, and marine data services.

Number of works: 180645  |  Total number of citations: 205000

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Work details in OpenAlex

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2023130411

Received 20.11.2023

Accepted

Published

For citation: Komarov, I.V., Kuravsky, L.S. (2023). Discriminant Analysis Based on Kohonen Statistics. Modelling and Data Analysis, 13(4), 176–182. (In Russ.). https://doi.org/10.17759/mda.2023130411

© Komarov I.V., Kuravsky L.S., 2023

License: CC BY-NC 4.0

References

  1. Kohonen T. Self-organizing maps, pers. 3rd Engl. ed. 2nd ed. (el.), M. BINOM. Laboratory of Knowledge, 2014.
  2. Kuravsky L. S., Baranov S. N. Computer modeling and data analysis. Lecture notes and exercises: Tutorial. - MOSCOW: RUSAVIA, 2012. С. 62-65, 108
  3. Vorontsov K. V. Mathematical methods of learning from precedents (machine learning theory), P. 9, 42 URL: https://www.kaznu.kz/content/files/pages/folder23376/Voron-ML-1.pdf.
  4. Voronov, M. V. Artificial intelligence systems: textbook and practice for universities / M. V. Voronov, V. I. Pimenov, I. A. Nebaev. - 2nd ed., revision and add. - Moscow: Yurait Publishing House, 2023.
  5. StatSoft. Electronic textbook on statistics // Discriminant analysis. URL: http://statsoft.ru/home/textbook/modules/stdiscan.html.
  6. Sturges H. The choice of a class-interval. J. Amer. Statist. Assoc., 1926 P. 21, 65- 66.

Information About the Authors

Ivan V. Komarov, student, Moscow State University of Psychology & Education, Moscow, Russian Federation, ORCID: https://orcid.org/0009-0005-6848-5977, e-mail: busykomarov@gmail.com

Lev S. Kuravsky, Doctor of Engineering, professor, Dean of the Computer Science Faculty, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-3375-8446, e-mail: l.s.kuravsky@gmail.com

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