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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">economyprom</journal-id><journal-title-group><journal-title xml:lang="ru">Экономика промышленности / Russian Journal of Industrial Economics</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Industrial Economics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2072-1633</issn><issn pub-type="epub">2413-662X</issn><publisher><publisher-name>MISIS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/2072-1633-2025-2-1420</article-id><article-id custom-type="elpub" pub-id-type="custom">economyprom-1420</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Национальная индустриальная экономика</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>National industrial economy</subject></subj-group></article-categories><title-group><article-title>Разработка стратегии инновационного развития промышленности в регионах России c применением машинного обучения</article-title><trans-title-group xml:lang="en"><trans-title>Creation of a strategy for the innovative development of industry in the regions of Russia using machine learning</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7182-2808</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Яшин</surname><given-names>С. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Yashin</surname><given-names>S. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Николаевич Яшин – д-р экон. наук, профессор, зав. кафедрой менеджмента и государственного управления</p><p>603022, Нижний Новгород, просп. Гагарина, д. 23</p></bio><bio xml:lang="en"><p>Sergey N. Yashin – Dr.Sci. (Econ.), Professor, Head of the Department of Management and Public Administration</p><p>23 Gagarina Ave., Nizhni Novgorod 603950</p></bio><email xlink:type="simple">jashinsn@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5290-7913</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кошелев</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Koshelev</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Егор Викторович Кошелев – канд. экон. наук, доцент</p><p>603022, Нижний Новгород, просп. Гагарина, д. 23</p></bio><bio xml:lang="en"><p>Egor V. Koshelev – PhD (Econ.), Associate Professor</p><p>23 Gagarina Ave., Nizhni Novgorod 603950</p></bio><email xlink:type="simple">ekoshelev@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4299-4042</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Андреевич Иванов – канд. экон. наук, доцент кафедры менеджмента и государственного управления Института экономики и предпринимательства</p><p>603022, Нижний Новгород, просп. Гагарина, д. 23</p></bio><bio xml:lang="en"><p>Aleksey A. Ivanov – PhD (Econ.), Associate Professor of the Department of Management and Public Administration</p><p>23 Gagarina Ave., Nizhni Novgorod 603950</p></bio><email xlink:type="simple">alexey.iff@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Нижегородский государственный университет им. Н.И. Лобачевского</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Lobachevsky State University of Nizhny Novgorod</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>19</day><month>06</month><year>2025</year></pub-date><volume>18</volume><issue>2</issue><fpage>241</fpage><lpage>253</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Яшин С.Н., Кошелев Е.В., Иванов А.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Яшин С.Н., Кошелев Е.В., Иванов А.А.</copyright-holder><copyright-holder xml:lang="en">Yashin S.N., Koshelev E.V., Ivanov A.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://ecoprom.misis.ru/jour/article/view/1420">https://ecoprom.misis.ru/jour/article/view/1420</self-uri><abstract><p>Технологии машинного обучения являются достаточно мощным инструментом анализа больших данных, поэтому могут быть применены в российских регионах для разработки стратегии инновационного развития промышленности. Для сравнения результатов качества прогнозирования и выбора наиболее оптимального метода на примере радиоэлектронной промышленности (РЭП) применен способ «машинного обучения k-ближайших соседей», нейронные сети «многослойный персептрон» и адаптивная нейро-нечеткая система вывода, включающая в себя алгоритм роя частиц, а также многомерные адаптивные регрессионные сплайны. В качестве целевых функций рассмотрены: 1) объем инновационных товаров; 2) разработанные передовые производственные технологии; 3) сальдированный финансовый результат (информатизация и связь). Представленная модель прошла обучение на основе выборки пакета девяти входных и трех целевых показателей в период с 2010 по 2022 г. для 83 регионов России. Для последующей верификации обученной модели оставлен 2023 г. выборки. Наиболее качественный прогноз был получен с помощью алгоритма машинного обучения k-ближайших соседей. При проведении оценки было установлено, что перспективы инновационного развития в отрасли имеют те регионы, у которых значения прогнозных целевых функций попадают в плановые сегменты в 2023 г. Оценка проводилась лишь в тех регионах, для которых прогноз считался наиболее качественным, т.е. средняя абсолютная процентная ошибка &lt; 0,5, это – Краснодарский и Пермский край, Нижегородская, Свердловская, Челябинская и Новосибирская области. При выполнении подобного анализа для алгоритмов многомерных адаптивных регрессионных сплайнов (для цели 3), роя частиц (для цели 2), многослойных персептронов (для цели 1), было установлено, что претендующими на лидерство в отрасли РЭП имеют Нижегородская и Свердловская области, что частично подтверждает выводы, полученные с помощью способа машинного обучения.</p></abstract><trans-abstract xml:lang="en"><p>Machine learning technology is a powerful tool for analyzing big data, and thus they can be applied to create a strategy for innovative development of industry in the regions of Russia. To compare the results of the quality of forecasting and to choose the most optimal method on the example of radio-electronic industry (REI), the authors applied the method of “k-nearest neighbor machine learning”, neural networks “multilayer perceptron” and adaptive neuro-fuzzy inference system which includes a particle swarm algorithm as well as multidimensional adaptive regression splines. The following functions were studied as the target ones: 1) the volume of innovative goods; 2) developed advanced production technologies; 3) net ﬁnancial result (informatization and communication). The suggested model was trained on the basis of a sample package of nine inputs and three targets in 2010-2022 in 83 regions of Russia. For further veriﬁcation of the trained model the year of 2023 was chosen as a sample package. It was stated that the highest quality forecast was made with the k-nearest neighbors machine learning algorithm. During the assessment, it was established that the prospects for innovative development in the industry can be found in the regions where the values of the predicted target functions fall into the planned segments in 2023. The assessment was conducted only in those regions whose forecast was regarded as the highest quality (with the average absolute percentage error &lt; 0,5). These regions include the Krasnodar and the Perm territories, and Nizhny Novgorod, Sverdlovsk, Chelyabinsk and Novosibirsk regions. When performing similar analysis for algorithms of multidimensional adaptive regression splines (for target 3), particle swarm (for target 2), multilayer perceptrons (for target 1), the authors established that Nizhny Novgorod and Sverdlovsk region can be regarded as leaders in the REI industry, and this partially conﬁrms the conclusions obtained by the machine learning method.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>радиоэлектронная промышленность</kwd><kwd>инновационное развитие</kwd><kwd>машинное обучение</kwd><kwd>k-ближайших соседей</kwd><kwd>многослойный персептрон</kwd><kwd>адаптивная нейро-нечеткая система вывода</kwd><kwd>алгоритм роя частиц</kwd><kwd>многомерные адаптивные регрессионные сплайны</kwd></kwd-group><kwd-group xml:lang="en"><kwd>radio electronic industry</kwd><kwd>innovative development</kwd><kwd>machine learning</kwd><kwd>k-nearest neighbors</kwd><kwd>multilayer perceptron</kwd><kwd>adaptive neuro-fuzzy inference system</kwd><kwd>particle swarm algorithm</kwd><kwd>multidimensional adaptive regression splines</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке гранта Российского научного фонда (проект № 24-28-00464).</funding-statement><funding-statement xml:lang="en">The research was carried out with the financial support of a grant from the Russian Science Foundation (project № 24-28-00464).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Гринев С.А., Квинт В.Л. Формирование стратегических приоритетов промышленного развития РФ как инновационный фактор преодоления кризисных периодов. Экономика промышленности. 2023;16(3):275–283. https://doi.org/10.17073/2072-1633-2023-3-275-283</mixed-citation><mixed-citation xml:lang="en">Grinev S.A., Kvint V.L. Formation of strategic priorities of industrial development of the Russian Federation as an innovative factor in overcoming crisis periods. Russian Journal of Industrial Economics. 2023;16(3):275–283. (In Russ.). https://doi.org/10.17073/2072-1633-2023-3-275-283</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Яшин С.Н., Кошелев Е.В., Суханов Д.А. Эволюционное нейросетевое моделирование импортозамещения в радиоэлектронной промышленности регионов. Финансы и кредит. 2024;30(4):765–787. https://doi.org/10.24891/fc.30.4.765</mixed-citation><mixed-citation xml:lang="en">Yashin S.N., Koshelev E.V., Sukhanov D.A. Evolutionary neural network modeling of import substitution in the electronics industry of regions. Finance and Credit. 2024;30(4):765–787. (In Russ.). https://doi.org/10.24891/fc.30.4.765</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Yoosefzadeh-Najafabadi M., Earl Hugh J., Tulpan D., Sulik J., Eskandari M. Application of machine learning algorithms in plant breeding: Predicting yield from hyperspectral reﬂectance in soybean. Frontiers in Plant Science. 2021;11:2169. https://doi.org/10.3389/fpls.2020.624273</mixed-citation><mixed-citation xml:lang="en">Yoosefzadeh-Najafabadi M., Earl Hugh J., Tulpan D., Sulik J., Eskandari M. Application of machine learning algorithms in plant breeding: Predicting yield from hyperspectral reﬂectance in soybean. Frontiers in Plant Science. 2021;11:2169. https://doi.org/10.3389/fpls.2020.624273</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Ramezanpour A., Beam A.L., Chen J.H., Mashaghi A. Statistical physics for medical diagnostics: Learning, inference, and optimization algorithms. Diagnostics. 2020;10(11):972. https://doi.org/10.3390/diagnostics10110972</mixed-citation><mixed-citation xml:lang="en">Ramezanpour A., Beam A.L., Chen J.H., Mashaghi A. Statistical physics for medical diagnostics: Lear ning, inference, and optimization algorithms. Diagnostics. 2020;10(11):972. https://doi.org/10.3390/diagnostics10110972</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Okolie J.A., Savage Sh., Ogbaga C.C., Gunes B. Assessing the potential of machine learning methods to study the removal of pharmaceuticals from wastewater using biochar or activated carbon. Total Environment Research Themes. 2022;1-2:100001. https://doi.org/10.1016/j.totert.2022.100001</mixed-citation><mixed-citation xml:lang="en">Okolie J.A., Savage Sh., Ogbaga C.C., Gunes B. Assessing the potential of machine learning me thods to study the removal of pharmaceuticals from wastewater using biochar or activated carbon. Total Environment Research Themes. 2022;1-2:100001. https://doi.org/10.1016/j.totert.2022.100001</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Jaiswal A., Babu A.R., Zadeh M.Z., Banerjee D., Makedon F. A survey on contrastive self-supervised learning. Technologies. 2021;9(1):2. https://doi.org/10.3390/technologies9010002</mixed-citation><mixed-citation xml:lang="en">Jaiswal A., Babu A.R., Zadeh M.Z., Banerjee D., Makedon F. A survey on contrastive self-supervised learning. Technologies. 2021;9(1):2. https://doi.org/10.3390/technologies9010002</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Fleer S., Moringen A., Klatzky R.L., Ritter H. Correction: Learning efﬁcient haptic shape exploration with a rigid tactile sensor array. PLoS One. 2020;15(2):e0230054 https://doi.org/10.1371/journal.pone.0230054</mixed-citation><mixed-citation xml:lang="en">Fleer S., Moringen A., Klatzky R.L., Ritter H. Correction: Learning efﬁcient haptic shape exploration with a rigid tactile sensor array. PLoS One. 2020;15(2):e0230054 https://doi.org/10.1371/journal.pone.0230054</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Piryonesi S.M., El-Diraby T.E. Role of data analytics in infrastructure asset management: Overcoming data size and quality problems. Journal of Transportation Engineering, Part B: Pavements. 2020;146(2):04020022.</mixed-citation><mixed-citation xml:lang="en">Piryonesi S.M., El-Diraby T.E. Role of data analytics in infrastructure asset management: Overcoming data size and quality problems. Journal of Transportation Engineering, Part B: Pavements. 2020;146(2):04020022.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Uddin S., Haque I., Lu H., Moni M.A., Gide E. Comparative performance analysis of K-nearest neighbour (KNN) algorithm and its different variants for disease prediction. Scientiﬁc Reports. 2022;12:6256. https://doi.org/10.1038/s41598-022-10358-x</mixed-citation><mixed-citation xml:lang="en">Uddin S., Haque I., Lu H., Moni M.A., Gide E. Comparative performance analysis of K-nearest neighbour (KNN) algorithm and its different variants for disease prediction. Scientiﬁc Reports. 2022;12:6256. https://doi.org/10.1038/s41598-022-10358-x</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Halder R.K., Uddin M.N., Uddin M.A., Aryal S., Khraisat A. Enhancing K-nearest neighbor algorithm: A comprehensive review and performance analysis of modiﬁcations. Journal of Big Data. 2024;11:113. https://doi.org/10.1186/s40537-024-00973-y</mixed-citation><mixed-citation xml:lang="en">Halder R.K., Uddin M.N., Uddin M.A., Aryal S., Khraisat A. Enhancing K-nearest neighbor algorithm: A comprehensive review and performance analysis of modiﬁcations. Journal of Big Data. 2024;11:113. https://doi.org/10.1186/s40537-024-00973-y</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Xiong L., Yao Y. Study on an adaptive thermal comfort model with K-nearest-neighbors (KNN) algorithm. Building and Environment. 2021;202:108026. https://doi.org/10.1016/j.buildenv.2021.108026</mixed-citation><mixed-citation xml:lang="en">Xiong L., Yao Y. Study on an adaptive thermal comfort model with K-nearest-neighbors (KNN) algorithm. Building and Environment. 2021;202:108026. https://doi.org/10.1016/j.buildenv.2021.108026</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Patchanok S., Korn S. Random kernel k-nearest neighbors regression. Frontiers in Big Data. 2024;7:1402384. https://doi.org/10.3389/fdata.2024.1402384</mixed-citation><mixed-citation xml:lang="en">Patchanok S., Korn S. Random kernel k-nearest neighbors regression. Frontiers in Big Data. 2024;7:1402384. https://doi.org/10.3389/fdata.2024.1402384</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Zardini E., Blanzieri E., Pastorello D. A quantum k-nearest neighbors algorithm based on the Eucli dean distance estimation. Quantum Machine Intelligence. 2024;6:23. https://doi.org/10.1007/s42484-024-00155-2</mixed-citation><mixed-citation xml:lang="en">Zardini E., Blanzieri E., Pastorello D. A quantum k-nearest neighbors algorithm based on the Eucli dean distance estimation. Quantum Machine Intelligence. 2024;6:23. https://doi.org/10.1007/s42484-024-00155-2</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Boateng E., Otoo J., Abaye D. Basic tenets of classiﬁcation algorithms K-nearest-neighbor, support vector machine, random forest and neural network: A review. Journal of Data Analysis and Information Processing. 2020;08(04):341–357. https://doi.org/10.4236/jdaip.2020.84020</mixed-citation><mixed-citation xml:lang="en">Boateng E., Otoo J., Abaye D. Basic tenets of classiﬁcation algorithms K-nearest-neighbor, support vector machine, random forest and neural network: A review. Journal of Data Analysis and Information Processing. 2020;08(04):341–357. https://doi.org/10.4236/jdaip.2020.84020</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Isabona J., Imoize A.L., Ojo S., Karunwi O., Kim Y., Lee C.-C., Li C.-T. Development of a multilayer perceptron neural network for optimal predictive mo deling in urban microcellular radio environments. Applied Sciences. 2022;12(11):5713. https://doi.org/10.3390/app12115713</mixed-citation><mixed-citation xml:lang="en">Isabona J., Imoize A.L., Ojo S., Karunwi O., Kim Y., Lee C.-C., Li C.-T. Development of a multilayer perceptron neural network for optimal predictive mo deling in urban microcellular radio environments. Applied Sciences. 2022;12(11):5713. https://doi.org/10.3390/app12115713</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Rashedi K.A., Ismail M.T., Al Wadi S., Serroukh A., Alshammari T.S., Jaber J.J. Multi-layer perceptronbased classiﬁcation with application to outlier detection in Saudi Arabia stock returns. Journal of Risk and Financial Management. 2024;17(2):69. https://doi.org/10.3390/jrfm17020069</mixed-citation><mixed-citation xml:lang="en">Rashedi K.A., Ismail M.T., Al Wadi S., Serroukh A., Alshammari T.S., Jaber J.J. Multi-layer perceptronbased classiﬁcation with application to outlier detection in Saudi Arabia stock returns. Journal of Risk and Financial Management. 2024;17(2):69. https://doi.org/10.3390/jrfm17020069</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Sagias V.D., Zacharia P., Tempeloudis A., Stergiou C. Adaptive neuro-fuzzy inference system-based predictive modeling of mechanical properties in additive manufacturing. Machines. 2024;12(8):523. https://doi.org/10.3390/machines12080523</mixed-citation><mixed-citation xml:lang="en">Sagias V.D., Zacharia P., Tempeloudis A., Stergiou C. Adaptive neuro-fuzzy inference system-based predictive modeling of mechanical properties in additive manufacturing. Machines. 2024;12(8):523. https://doi.org/10.3390/machines12080523</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Putra V.G.V., Mohamad J.N. Adaptive neuro-fuzzy inference systems (ANFIS) and artiﬁcial neural networks (ANNs) for optimizing electrospun PVA/ TiO2 ﬁber diameter. The Journal of The Textile Institute. 2022;114(10):1898–1908. https://doi.org/10.1080/00405000.2022.2150954</mixed-citation><mixed-citation xml:lang="en">Putra V.G.V., Mohamad J.N. Adaptive neuro-fuzzy inference systems (ANFIS) and artiﬁcial neural networks (ANNs) for optimizing electrospun PVA/ TiO2 ﬁber diameter. The Journal of The Textile Institute. 2022;114(10):1898–1908. https://doi.org/10.1080/00405000.2022.2150954</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Qiao J., Wang G., Yang Z., Luo X., Chen J., Li K., Liu P. A hybrid particle swarm optimization algorithm for solving engineering problem. Scientiﬁc Reports. 2024;14:8357. https://doi.org/10.1038/s41598-024-59034-2</mixed-citation><mixed-citation xml:lang="en">Qiao J., Wang G., Yang Z., Luo X., Chen J., Li K., Liu P. A hybrid particle swarm optimization algorithm for solving engineering problem. Scientiﬁc Reports. 2024;14:8357. https://doi.org/10.1038/s41598-024-59034-2</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Tang K., Meng C. Particle swarm optimization algorithm using velocity pausing and adaptive strategy. Symmetry. 2024;16(6):61. https://doi.org/10.3390/sym16060661</mixed-citation><mixed-citation xml:lang="en">Tang K., Meng C. Particle swarm optimization algorithm using velocity pausing and adaptive strategy. Symmetry. 2024;16(6):61. https://doi.org/10.3390/sym16060661</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Adnan R.M., Liang Z., Heddam S., Zounemat-Kermani M., Kisi O., Li B. Least square support vector machine and multivariate adaptive regression splines for streamﬂow prediction in mountainous basin using hydro-meteorological data as inputs. Journal of Hydrology. 2020;586:124371. https://doi.org/10.1016/j.jhydrol.2019.124371</mixed-citation><mixed-citation xml:lang="en">Adnan R.M., Liang Z., Heddam S., Zounemat-Kermani M., Kisi O., Li B. Least square support vector machine and multivariate adaptive regression splines for streamﬂow prediction in mountainous basin using hydro-meteorological data as inputs. Journal of Hydrology. 2020;586:124371. https://doi.org/10.1016/j.jhydrol.2019.124371</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Hwaidi A., Badr A., Henedy S., Ostrowski K., Imran H. Application of multivariate adaptive regression splines (MARS) approach in prediction of compressive strength of eco-friendly concrete. Case Studies in Construction Materials. 2022;17:e01262. https://doi.org/10.1016/j.cscm.2022.e01262</mixed-citation><mixed-citation xml:lang="en">Hwaidi A., Badr A., Henedy S., Ostrowski K., Imran H. Application of multivariate adaptive regression splines (MARS) approach in prediction of compressive strength of eco-friendly concrete. Case Studies in Construction Materials. 2022;17:e01262. https://doi.org/10.1016/j.cscm.2022.e01262</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
