Discrete perceptron based on probabilistic estimates of shifted synaptic signals

User Rating:  / 1
PoorBest 

Authors:


S.V.Yakovyn, orcid.org/0000-0002-3335-2892, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

S.I.Melnychuk*, orcid.org/0000-0002-6973-4235, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


повний текст / full article



Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2025, (2): 189 - 196

https://doi.org/10.33271/nvngu/2025-2/189



Abstract:



Purpose.
Improvement of existing methods and development of new approaches for the digital processing of discrete signals in the field of artificial neural networks, as well as the formulation of principles for the structural implementation of discrete perceptrons.


Methodology.
The presented scientific results and conclusions were obtained using methods of statistical analysis and digital signal processing, probability theory and mathematical statistics, signal and system theory, as well as through computational experiments and modeling.


Findings.
The research showed the potential and prospects of using the proposed perceptron structure, which processes synaptic signals based on statistical estimation of their discrete states. The signal shifting is implemented through addition of weight coefficients, which allows avoiding multiplication operations and, as a result, reduces algorithmic and computational complexity. Furthermore, using a discrete basis allows accelerating the training process by reducing the possible range of signal values.


Originality.
A method for implementing a discrete perceptron that is based on the use of statistical evaluations and integer operations on discrete synaptic signals has been proposed for the first time.


Practical value.
The proposed approach allows avoiding the typical multiplication operation for perceptron structures, reducing computational costs. The use of a discrete basis significantly limits the value space of shift coefficients which could potentially shorten the training process. An important aspect of the results obtained is the prospects for implementing specialised artificial neural networks on platforms with limited computing resources, such as microcontrollers, programmable logic integrated circuits, and others.



Keywords:
perceptron, statistical estimates, discrete signals, signal processing

References.


1. Randall, R. B., Antoni, J., & Borghesani, P. (2022). Applied Digital Signal Processing. In Allemang, R., Avitabile, P. (Eds.) Handbook of Experimental Structural Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4547-0_6

2. Landar, S., Velychkovych, A., Ropyak, L., & Andrusyak, A. (2024). A Method for Applying the Use of a Smart 4 Controller for the Assessment of Drill String Bottom-Part Vibrations and Shock Loads. Vibration, 7(3), 802-828. https://doi.org/10.3390/vibration7030043

3. Thaler, D., Elezaj, L., Bamer, F., & Markert, B. (2022). Training Data Selection for Machine Learning-Enhanced Monte Carlo Simulations in Structural Dynamics. Applied Sciences, 12(2), 581. https://doi.org/10.3390/app12020581

4. Shatskyi, I., Makoviichuk, M., Ropyak, L., & Velychkovych, A. (2023). Analytical Model of Deformation of a Functionally Graded Ceramic Coating under Local Load. Ceramics, 6(3), 1879-1893. https://doi.org/10.3390/ceramics6030115

5. Shats’kyi, I., Makoviichuk, M., & Shcherbii, A. (2019). Influence of a flexible coating on the strength of a shallow cylindrical shell with longitudinal crack. Journal of Mathematical Sciences (United States), 238(2), 165-173. https://doi.org/10.1007/s10958-019-04226-9

6. Schmitt, M. (2023). Automated machine learning: AI-driven decision making in business analytics. Intelligent Systems with Applications, 18, 200188. https://doi.org/10.1016/j.iswa.2023.200188

7. Liou, D.-R., Liou, J.-W., & Liou, C.-Y. (2013). Learning Behaviors of Perceptron. iConcept Press. ISBN 978-1-477554-73-9.

8. Anzai, Y. (2016). Pattern Recognition & Machine Learning. ISBN-10:0124121497.

9. Vorobel, R. (2010). Logarithmic type image processing algebras. In 2010 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW). IEEE, 1-3. https://doi.org/10.1109/msmw.2010.5546157

10.      Mandziy, T., Ivasenko, I., Berehulyak, O., Vorobel, R., Bembenek, M., Kryshtopa, S., & Ropyak, L. (2024). Evaluation of the Degree of Degradation of Brake Pad Friction Surfaces Using Image Processing. Lubricants, 12(5), 172. https://doi.org/10.3390/lubricants12050172

11.      Ramanaiah, K., & Sridhar, S. (2015). Hardware Implementation of Artificial Neural Networks, 3, 31-34. https://doi.org/10.26634/JES.3.4.3514

12.      Ivanovskii, O. V. (2004). Block Diagram of an Irregular Element (Patent of Ukraine No 2246). State Service of Intellectual Property of Ukraine. Retrieved from https://sis.nipo.gov.ua/uk/search/detail/243354

13.      Melnychuk, S., Kuz, M., & Yakovyn, S. (2018). Emulation of logical functions NOT, AND, OR, and XOR with a perceptron implemented using an information entropy function. 2018 14 th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET), (pp. 878-882). https://doi.org/10.1109/TCSET.2018.8336337

14.      Melnychuk, S. I., & Yakovyn, S. V. (2023). Method of Implementation of Perceptron Based on Probable Characteristics of Displaced Synaptic Signals (Patent of Ukraine No. 126753). State Service of Intellectual Property of Ukraine. Retrieved from https://sis.nipo.gov.ua/uk/search/detail/1719578

15.      Ahamad, M. V., Ali, R., Naz, F., & Fatima, S. (2020). Simulation of Learning Logical Functions Using Single-Layer Perceptron. In Hu, Y. C., Tiwari, S., Trivedi, M., Mishra, K. (Eds.) Ambient Communications and Computer Systems. Advances in Intelligent Systems and Computing, 1097, (pp. 121-133). Springer, Singapore. https://doi.org/10.1007/978-981-15-1518-7_10

16.      Neirotti, J. (2010). Parallel strategy for optimal learning in perceptrons. Journal of Physics A: Mathematical and Theoretical, 43, 125101. https://doi.org/10.1088/1751-8113/43/12/125101

17.      Mishchenko, K. (2021). On Seven Fundamental Optimization Challenges in Machine Learning. arXiv: Optimization and Control. https://doi.org/10.25781/KAUST-NV6UI

18.      Bandura, A., & Skaskiv, O. (2019). Analog of hayman’s theorem and its application to some system of linear partial differential equations. Journal of Mathematical Physics, Analysis, Geometry, 15(2), 170-191. https://doi.org/10.15407/mag15.02.170

19.      Niutta, C. B., Wehrle, E. J., Duddeck, F., & Belingardi, G. (2018). Surrogate modeling in design optimization of structures with discontinuous responses. Structural and Multidisciplinary Optimization, 57, 1857-1869. https://doi.org/10.1007/S00158-018-1958-7

20.      Jagtap, A. D., Kawaguchi, K., & Karniadakis, E. G. (2019). Adaptive activation functions accelerate convergence in deep and physics-informed neural networks. J. Comput. Phys., 404, 109136. https://doi.org/10.1016/j.jcp.2019.109136

21.      Fatyanosa, T. N., Sihananto, A. N., Alfarisy, G. A. F., Bur­han, M. S., & Mahmudy, W. F. (2017). Hybrid Genetic Algorithm and Simulated Annealing for Function Optimization. Journal of Information Technology and Computer Science, 1(2), 82-97. https://doi.org/10.25126/jitecs.20161215

22.      Maucher, M., Schöning, U., & Kestler, H.A. (2011). Search heuristics and the influence of non-perfect randomness: examining Genetic Algorithms and Simulated Annealing. Computational Statistics, 26, 303-319. https://doi.org/10.1007/S00180-011-0237-5

23.      Agliari, E., Barra, A., Galluzzi, A., Guerra, F., & Moauro, F. (2012). Multitasking Associative Networks. Physical Review Letters, 109, 268101. https://doi.org/10.1103/PhysRevLett.109.268101

24.      Zheng, Y., Lu, S., & Wu, R. (2018). Quantum Circuit Design for Training Perceptron Models. arXiv: Quantum Physics, 2-12. https://doi.org/10.48550/arXiv.1802.05428

25.      Secco, J., & Corinto, F. (2015). Memristor-based cellular nonlinear networks with belief propagation inspired algorithm. 2015 IEEE International Symposium on Circuits and Systems (ISCAS), 1522-1525. https://doi.org/10.1109/ISCAS.2015.7168935

26.      Gupta, M., Bukovský, I., Homma, N., Solo, A., & Hou, Z. (2013). Fundamentals of Higher Order Neural Networks for Modeling and Simulation, 103-133. https://doi.org/10.4018/978-1-4666-2175-6.CH006

27.      Yeo, I., Gi., S.-G., Lee, B.-G., & Chu, M. (2016). Stochastic implementation of the activation function for artificial neural networks. 2016 IEEE Biomedical Circuits and Systems Conference (BioCAS), 440-443. https://doi.org/10.1109/BioCAS.2016.7833826

28.      Shatskyi, I., & Perepichka, V. (2018). Problem of Dynamics of an Elastic Rod with Decreasing Function of Elastic-Plastic External Resistance. Springer Proceedings in Mathematics and Statistics, 249, 335-342. https://doi.org/10.1007/978-3-319-96601-4_30

29.      Bembenek, M., Mandziy, T., Ivasenko, I., Berehulyak, O., Vorobel, R., Slobodyan, Z., & Ropyak, L. (2022). Multiclass Level-Set Segmentation of Rust and Coating Damages in Images of Metal Structures. Sensors, 22(19), 7600. https://doi.org/10.3390/s22197600

30.      Bembenek, M., Makoviichuk, M., Shatskyi, I., Ropyak, L., Pritula, I., Gryn, L., & Belyakovskyi, V. (2022). Optical and Mechanical Properties of Layered Infrared Interference Filters. Sensors, 22(21), 8105. https://doi.org/10.3390/s22218105

 

Visitors

8739711
Today
This Month
All days
7125
123812
8739711

Guest Book

If you have questions, comments or suggestions, you can write them in our "Guest Book"

Registration data

ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

Contacts

D.Yavornytskyi ave.,19, pavilion 3, room 24-а, Dnipro, 49005
Tel.: +38 (066) 379 72 44.
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
You are here: Home About the journal contact EngCat Archive 2025 Content №2 2025 Discrete perceptron based on probabilistic estimates of shifted synaptic signals