Algorithm of the multilayer artificial feed-forward neural network learning
https://doi.org/10.29235/1561-2430-2026-62-2-149-163
Abstract
The algorithm of the multilayer feed-forward neural network learning is developed. The algorithm realizes an error back-propagation idea. The particularity of the algorithm is its multidimensional-matrix form, which provides its theoretical and algorithmic generality. The program realization of the algorithm is performed as the function of Matlab programming language. In spite of the multidimensional-matrix form of the algorithm, this function is defined fully by the usual matrices. The validity of the algorithm is confirmed by the computer simulation of different approximation problems including the problem of pattern recognition.
About the Author
V. S. MukhaBelarus
Vladimir S. Mukha – Dr. Sc. (Engineering), Professor, Professor of the Department of Information Technologies of Automated Systems
6, P. Brovka Str., 220013, Minsk
References
1. Golovinov A. O., Klimova E. N. Advantages of neural networks over traditional algorithms. Eksperimental’nye i teoreticheskie issledovaniya v sovremennoi nauke: sbornik statei po materialam V Mezhdunarodnoi nauchno-prakticheskoi konferentsii [Experimental and theoretical research in modern science: a collection of articles based on the materials of the V International scientific and practical conference]. Novosibirsk, Association of Researchers “Siberian Academic Book”, 2017, pp. 11–15 (in Russian).
2. Mitrea C. A., Lee C. K. M., Wu Z. A Comparison between Neural Networks and Traditional Forecasting Methods: A Case Study. International Journal of Engineering Business Management, 2009, vol. 1, no. 2, pp. 19–24. https://doi.org/10.5772/6777
3. Blackard J. A., Dean D. J. Comparative accuracies of artificial neural networks and discriminant analysis in predicting forest cover types from cartographic variables. Computers and Electronics in Agriculture, 1999, vol. 24, no. 3, pp. 131–151. https://doi.org/10.1016/s0168-1699(99)00046-0
4. Eze C. M., Ugwuowo I. F., Asogwa O. A comparative analysis of vector autoregressive model and neural networks. EPH – International Journal of Mathematics and Statistics, 2018, vol. 4, no. 2, pp. 1–13. https://doi.org/10.53555/eijms.v4i2.21
5. Charef F., Ayachi F. A Comparison between Neural Networks and GARCH Models in Exchange Rate Forecasting. International Journal of Academic Research in Accounting, Finance and Management Sciences, 2016, vol. 6, no. 1, pp. 94–99. https://doi.org/10.6007/ijarafms/v6-i1/1996
6. Rumelhart D. E., Hinton G. E., Williams R. J. Learning internal representations by error propagation. Parallel Distributed Processing: Explorations in the Microstructures of Cognition, vol. 1. Cambridge, MA, MIT Press, 1986, pp. 318– 362. https://doi.org/10.7551/mitpress/4943.003.0128
7. Bishop C. M. Pattern Recognition and Machine Learning. Springer Science + Business Media, LLC, 2006. 738 p.
8. Mukha V. S. Analysis of Multidimensional Data. Minsk, Tekhnoprint Publ., 2004. 368 p. (in Russian).
9. Golovko V. A. Neural Network: Learning, Organization and Application. Moscow, IPRJP Publ., 2001. 256 p. (in Russian).
10. Schmidhuber J. Deep learning in neural networks: An overview. Neural Networks, 2015, vol. 61, pp. 85–117. https://doi.org/10.1016/j.neunet.2014.09.003
11. Nielsen M. Neural Networks and Deep Learning. Vol. 25. San Francisco, CA, USA, Determination Press, 2015. Available at: https://jingyuexing.github.io/Ebook/Machine_Learning/Neural%20Networks%20and%20Deep%20Learning-eng.pdf (accessed 10 January 2025).
Review
JATS XML

































