Determining locations of possible earthquakes in the western Tien Shan using artificial neural network and a mathematical model of tectonic processes
- Авторлар: Atabekov I.U.1, Atabekov A.I.2, Mamarakhimov J.K.1
-
Мекемелер:
- Mavlyanov Institute of Seismology, Academy of Sciences of Republic of Uzbekistan
- Research Institute of Digital Technology and Artificial Intelligence under the Min. Digital technologies of the Republic of Uzbekistan
- Шығарылым: № 5 (2025)
- Беттер: 92-106
- Бөлім: Articles
- URL: https://journals.rcsi.science/0016-853X/article/view/353465
- DOI: https://doi.org/10.7868/S3034497525050056
- ID: 353465
Дәйексөз келтіру
Аннотация
In this paper, we developed a numerical model of the stress state of the earth’s crust of the Western Tien Shan microplate to use as additional features for machine learning. An alternative to the deep learning models could be a neural network based on the Kolmogorov‒Arnold (KAN) general approximation theorem. What distinguishes KAN from existing machine learning networks is its interpretability, i.e. the ability to explain the “logic” of the model’s operation and high accuracy in complex physical processes. KANs differs from existing machine learning networks in its high interpretation and accuracy in complex physical processes. Unlike conventional networks, KAN neural network requires only one or two layers to obtain a solution to the problem, which significantly reduces the computing power. Using the KANs algorithm, we have built for the first time a neural network for classification and regression applied to the medium-term earthquake prediction in the Western Tien Shan microplate. The results obtained allowed us to predict the locations of possible earthquakes with a magnitude of 5 > M < 6 in environs of the city Tashkent (the Capital of Republic of Uzbekistan). The performed retrospective analysis of strong earthquakes that occurred in 2024 within the West Tien Shan microplate showed that the developed model predicts the locations of earthquakes with a magnitude of M < 6 with an accuracy of geographic coordinates of ±0.1° N, ±0.1° E and a magnitude of ΔM = ±0.4.
Авторлар туралы
I. Atabekov
Mavlyanov Institute of Seismology, Academy of Sciences of Republic of Uzbekistan
Email: atabekovi@mail.ru
bld. 3, st. Zulfiyakhanum, 100028 Tashkent, Uzbekistan
A. Atabekov
Research Institute of Digital Technology and Artificial Intelligence under the Min. Digital technologies of the Republic of Uzbekistan
Email: atabekovi@mail.ru
Buz-2, 17A, 100125 Tashkent, Uzbekistan
J. Mamarakhimov
Mavlyanov Institute of Seismology, Academy of Sciences of Republic of Uzbekistan
Хат алмасуға жауапты Автор.
Email: atabekovi@mail.ru
bld. 3, st. Zulfiyakhanum, 100028 Tashkent, Uzbekistan
Әдебиет тізімі
- Атабеков И.У. Опыт моделирования сейсмотектонического течения земной коры в Центральной Азии // Изв. АН СССР. Физика Земли. 2021. №1. С. 122–132. doi: 10.31857/S0002333721010014
- Бреббия К., Телес Ж., Вробел Л. Методы граничных элементов. ‒ М.: Мир, 1987, 524 с.
- Гвишиани А.Д., Соловьев А.А., Дзебоев Б.А. Проблема распознавания мест возможного возникновения сильных землетрясений: актуальный обзор // Изв. АН СССР. Физика Земли. 2020. № 1. С. 5–29. doi: 10.31857/S0002333720010044
- Геология и полезные ископаемые Республики Узбекистан. ‒ Под ред. Т.Ш. Шаякубова, Т.Н. Далимова ‒ Ташкент: “Университет”, 1998, 723с.
- Као Д.Ч. Исследование и применение нейросетевых технологий в задаче прогнозирования землетрясений (На примере северо-западного района Вьетнама). ‒ Дис. … к. т. н. (РУДН, г. Москва, Россия. 2013), 166 с.
- Колмогоров А.Н. О представлении непрерывных функций многих переменных суперпозициями непрерывных функций меньшего числа переменных //Докл. АН СССР. 1956. Т. 108. № 2. С. 179–182.
- Новый каталог сильных землетрясений на территории СССР с древнейших времен до 1974 г. ‒ Под ред. Н.В. Кондорской, Н.В. Шебалина ‒ М.: Наука, 1977.
- Феодосьев В.И. Сопротивление материалов. – М.: МГТУ, 2010. 591 с.
- Ashif P., Hojjat A. Neural network model for earthquake magnitude prediction using multiple seismicity indicator // Int. J. of Neural Systems. 2007. Vol. 17. No. 1. P. 13‒33. https://doi.org/10.1016/j.neunet.2009.05.003
- Ashit K.D. Earthquake prediction using artificial neural networks // Int. J. Research and Reviews in Computer Sci. (IJRRCS). 2011. Vol. 2. No. 6. P. 2079‒2557.
- Atabekov I. Earth Crust’s stresses variation in Central Asian earthquake’s region //Geodes. Geodynam. 2020. Vol. 11. Is. 4. P. 293‒299. https://doi.org/10.1016/j.geog.2019.12.005
- Cybenko G. Approximation by superpositions of a sigmoidal function. // Mathematics of Control, Signals and Systems. 1989. Vol. 2. Is. 4. P. 303–314.
- Florido E., Aznarte J.L., Morales-Esteban A., Martínez-Álvarez F. Earthquake magnitude prediction based on artificial neural networks: A survey //Croatian Operational Research Review (Zagreb). 2016. Vol. 7. Is. 2. P. 159‒169. doi: 10.17535/crorr.2016.0011
- Hochreiter S., Schmidhuber J. Long short-term memory // Neural Computation. 1997. Vol. 9. Is. 8. P. 1735–1780. doi: 10.1162/neco.1997.9.8.1735
- Hornik K., Stinchcombe M., White H. Multilayer feedforward networks are universal approximators // Neural Networks. 1989. Vol. 2. Is. 5. P. 359–366.
- Ismayilova A., Ismailov V.E. On the Kolmogorov neural networks //Neural Networks. 2024. Vol. 176. 106333. https://doi.org/10.1016/j.neunet.2024.106333
- Lai M.-L., Shen Zh. The Kolmogorov superposition theorem can break the curse of dimensionality when approximating high dimensional functions. ‒ Cornell Univ. 2021. arXiv:2112.09963v5 [math.NA]. https://doi.org/10.48550/arXiv.2112.09963
- Liu Z., Wang Y., Vaidya S., Ruehle F., Halverson J., Soljačić M., Hou Th.Y., Tegmark M. KAN: Kolmogorov-Arnold Networks. ‒ Cornell Univ., Int. Conference on Learning Representations (ICLR). 2024. arXiv 2404. 18756. v. 5 [cs LG]. https://doi.org/10.48550/arXiv.2404.19756
- Mahmoudi J., Arjomand M.A., Rezaei M., Mohammadi M.H. Predicting the earthquake magnitude using the multilayer perceptron neural network with two hidden layers // Civil Engineer. Journal. 2016. Vol. 2. No. 1. P. 1–12.
- Panakkat A., Adeli H. Recurrent neural network for approximate earthquake time and location prediction using multiple seismicity indicators // Computer-Aided Civil and Infrastructure Engineering. 2009. Vol. 24. No. 4. P. 280–292.
- Rangulov B. New trends in earthquake prediction – A case study of performance // Earthquake. 2024. Vol. 3. Is. 1. doi: 10.59429/ear.v3i1.8254
- Ridzwan N.S.M., Yusoff S.H.M. Machine learning for earthquake prediction: A review (2017–2021) //Earth Sci. Inform. 2023. Vol. 16. P. 1133–1149. https://doi.org/10.1007/s12145-023-00991-z
- Rouet-Leduc B., Hulbert C., Lubbers N., Barros K., Humphreys C.J., Johnson P.A. Machine learning predicts laboratory earthquakes //Geophys. Res. Lett. 2017. Vol. 44. P. 9276–9282. https://doi.org/10.1002/2017GL074677
- Saad O.M., Chen Y., Savvaidis A., Fomel S., Jiang X., Huang D., Oboué Y.A.S., Yong S., Wang X., Zhang X., et al. Earthquake Forecasting Using Big Data and Artificial Intelligence: A 30-Week Real-Time Case Study in China // Bull. Seism. Soc. Am. 2023. Vol. 113. P. 2461–2478. doi: 10.1785/0120230031
- Shan W., Zhang M., Wang M., Chen H., Zhang R., Yang G., Tang Y., Teng Y., Chen J. EPM–DCNN: Earthquake prediction models using deep convolutional neural networks // Bull. Seism. Soc. Am. 2022. Vol. 112. P. 2933–2945. doi: 10.1785/0120220058
- Wang Q., Guo Y., Yu L., Li P. Earthquake prediction based on spatio-temporal data mining: An LSTM network approach // IEEE Transactions on Emerging Topics in Computing. 2020. Vol. 8. Is.1. P. 148‒158. doi: 10.1109/TETC.2017.2699169
- Wang X., Yuechen Z.Z., Li Y.Z., Jia K. Small earthquakes can help predict large earthquakes: A machine learning perspective // Appl. Sciences. 2023. Vol. 13. Art. 6424. https://doi.org/10.3390/app13116424
- Zubovich A.V., Wang X., Scherba Y.G., Schelochkov G.G., Reilinger R., Reigber C., et al. GPS velocity field for the Tien Shan and surrounding regions // Tectonics. 2010. Vol. 29. No. 6. P. 1‒23. TC6014. doi: 10.1029/2010TC002772
- Uzbekistan Earthquake Report, https://earthquakelist.org/uzbekistan/#statistics. Accessed 2025.
- PyTorch, https:// docs.pytorch.org/get-started/locally/. Accessed 2025.
- TensorFlow, https:// www.tensorflow.org/install?hl=ru . Accessed 2025.
- Topographic maps, https//ru-ru.topographic-map.com. Accessed January, 2025.
Қосымша файлдар

