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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">izvestswsu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1560</issn><issn pub-type="epub">2686-6757</issn><publisher><publisher-name>ЮЗГУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/22231560-2025-29-2-92-108</article-id><article-id custom-type="elpub" pub-id-type="custom">izvestswsu-1458</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>Информатика, вычислительная техника и управление</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Computer science, computer engineering and IT managment</subject></subj-group></article-categories><title-group><article-title>Байесовский алгоритм классификации в задаче реидентификации личности</article-title><trans-title-group xml:lang="en"><trans-title>Bayesian classification algorithm in the person re-identification task</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Русаков</surname><given-names>К. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Rusakov</surname><given-names>K. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Русаков Константин Дмитриевич, научный  сотрудник,  </p><p>ул. Профсоюзная, д. 65, г. Москва 117997.</p></bio><bio xml:lang="en"><p>Konstantin D. Rusakov. Researcher, </p><p>65, Profsoyuznaya str., Moscow 117997.</p></bio><email xlink:type="simple">rusakov@ipu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт проблем управления им. В.А. Трапезникова Российской академии наук</institution></aff><aff xml:lang="en"><institution>V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>01</day><month>10</month><year>2025</year></pub-date><volume>29</volume><issue>2</issue><fpage>92</fpage><lpage>108</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Русаков К.Д., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Русаков К.Д.</copyright-holder><copyright-holder xml:lang="en">Rusakov K.D.</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://izvestswsu.elpub.ru/jour/article/view/1458">https://izvestswsu.elpub.ru/jour/article/view/1458</self-uri><abstract><sec><title>Цель исследования</title><p>Цель исследования. Разработка и экспериментальная проверка алгоритма байесовской классификации для задачи реидентификации личности на изображениях, полученных с разных видеокамер. Исследование направлено на повышение точности идентификации за счёт интеграции признаков, извлекаемых из изображений лица и силуэта человека.</p></sec><sec><title>Методы</title><p>Методы. Предложенный алгоритм основан на байесовской модели классификации с использованием многомерных нормальных распределений признаков. Признаки извлекаются из изображений нейросетевыми кодировщиками, построенными на архитектуре Vision Transformer и обученными с применением функции потерь ArcFace. Интеграция признаков различных модальностей осуществляется на основе вычисления логарифмических апостериорных вероятностей принадлежности объектов к классам. Для оценки эффективности метода применялся открытый набор данных CUHK03, выполнен количественный анализ с помощью ROC-кривых и визуализации признакового пространства методом t-SNE.</p></sec><sec><title>Результаты</title><p>Результаты. Алгоритм показал высокие показатели точности: precision 95,65% на CUHK03, до 97,7% на Market-1501 и 89,2% на MARS. ROC-анализ подтвердил хорошую разделимость классов, а t-SNE визуализации продемонстрировали компактность кластеров. Алгоритм детерминирован, устойчив к шумам и масштабируем на более крупные выборки.</p></sec><sec><title>Заключение</title><p>Заключение. Разработанный байесовский алгоритм классификации подтвердил свою эффективность и перспективность для решения задачи реидентификации личности в интеллектуальных системах видеонаблюдения. Его преимущества заключаются в высокой точности, интерпретируемости результатов и возможности интеграции дополнительных признаков. Дальнейшее развитие алгоритма целесообразно осуществлять путём внедрения дополнительных атрибутов и тестирования на существенно более крупных и разнообразных датасетах. </p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose of research</title><p>Purpose of research. Development and experimental evaluation of a Bayesian classification algorithm for the person re-identification task using images from multiple surveillance cameras. The study aims to improve identification accuracy through integrating features derived from facial and silhouette images.</p></sec><sec><title>Methods</title><p>Methods. The proposed algorithm utilizes a Bayesian classification model based on multivariate normal distributions of features. These features are extracted by neural encoders built on the Vision Transformer architecture and trained using the ArcFace loss function. Integration of modality-specific features is performed by computing logarithmic posterior probabilities of class membership. The effectiveness of the method was evaluated using the open CUHK03 dataset, quantitative analysis via ROC curves, and feature space visualization using the t-SNE method.</p></sec><sec><title>Results</title><p>Results. The algorithm demonstrated high classification performance: precision of 95.65% on CUHK03, up to 97.7% on Market-1501, and 89.2% on MARS. ROC analysis confirmed strong class separability, while t-SNE visualizations showed compact and well-defined clusters. The algorithm is deterministic, robust to noise, and scalable to larger datasets.</p></sec><sec><title>Conclusion</title><p>Conclusion. The developed Bayesian classification algorithm has proven its effectiveness and feasibility for person re-identification tasks in intelligent video surveillance systems. Its advantages include high accuracy, interpretability, and potential for integrating additional features. Future research should focus on incorporating extra attributes and evaluating algorithm performance on significantly larger and more diverse datasets..</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>реидентификация личности</kwd><kwd>байесовский классификатор</kwd><kwd>метрическое обучение</kwd><kwd>глубокие нейросети</kwd><kwd>верификация</kwd><kwd>распознавание образов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>person re-identification</kwd><kwd>Bayesian classifier</kwd><kwd>metric learning</kwd><kwd>deep neural networks</kwd><kwd>verification</kwd><kwd>pattern recognition</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Deep learning for person re-identification / M. Ye, J. Shen, G. Lin, T. Xiang, L. Shao, S.C.H. Hoi // A survey and outlook. IEEE Trans. Pattern Anal. Mach. Intell. 2021. 44(6): 2872–2893.</mixed-citation><mixed-citation xml:lang="en">Ye M., Shen J., Lin G., Xiang T., Shao L., Hoi S.C.H. Deep learning for person reidentification: A survey and outlook. IEEE Trans. Pattern Anal. Mach. Intell. 2021; 44(6): 2872–2893.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ahmed E., Jones M., Marks T.K. An improved deep learning architecture for person re-identification // Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR). 2015. P. 3908–3916.</mixed-citation><mixed-citation xml:lang="en">Ahmed E., Jones M., Marks T.K. An improved deep learning architecture for person re-identification. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), 2015. P. 3908–3916.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Varior R.R., Haloi M., Wang G. Gated siamese convolutional neural network architecture for human re-identification // Proc. European Conf. on Computer Vision (ECCV), 2016. P. 791–808.</mixed-citation><mixed-citation xml:lang="en">Varior R.R., Haloi M., Wang G. Gated siamese convolutional neural network architecture for human re-identification. In: Proc. European Conf. on Computer Vision (ECCV), 2016. P. 791–808.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Cho Y., Kim J., Kim W. J., Jung J., Yoon S. Generalizable Person Re-identification via Balancing Alignment and Uniformity. arXiv preprint arXiv:2411.11471. 2024.</mixed-citation><mixed-citation xml:lang="en">Cho Y., Kim J., Kim W. J., Jung J., Yoon S. Generalizable Person Re-identification via Balancing Alignment and Uniformity. arXiv preprint arXiv:2411.11471. 2024.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Bag of tricks and a strong baseline for person re-identification / H. Luo, Y. Gu, X. Liao, S. Lai, W. Jiang // Proc. IEEE Conf. on Computer Vision and Pattern Recognition Workshops (CVPRW), 2019. Р. 1487–1495.</mixed-citation><mixed-citation xml:lang="en">Luo H., Gu Y., Liao X., Lai S., Jiang W. Bag of tricks and a strong baseline for person re-identification. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition Workshops (CVPRW), 2019.P. 1487–1495.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Yadav A., Vishwakarma D. K. Deep learning algorithms for person re-identification: state-of-the-art and research challenges // Multimedia Tools and Applications. 2023. 83. Р. 22005–22054.</mixed-citation><mixed-citation xml:lang="en">Yadav A., Vishwakarma D. K. Deep learning algorithms for person re-identification: state-of-the-art and research challenges. Multimedia Tools and Applications. 2023; 83: 22005–22054.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Кривенко М.П. Байесовская классификация серий многомерных данных // Системы и средства информатики. 2020. № 30(1). С. 34–45.</mixed-citation><mixed-citation xml:lang="en">Krivenko M.P. Bayesian classification of multidimensional data series. Sistemy i sredstva informatiki. 2020; 30(1): 34–45. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Сабуров В.С. Байесовский классификатор в машинном обучении // Шаг в науку. 2024. №1. С. 78–81.</mixed-citation><mixed-citation xml:lang="en">Saburov V.S. Bayesian classifier in machine learning. Shag v nauku. 2024; (1): 78–81. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Moghaddam B., Jebara T., Pentland A. Bayesian face recognition. Pattern Recognition. 2000. 33(11). Р. 1771–1782.</mixed-citation><mixed-citation xml:lang="en">Moghaddam B., Jebara T., Pentland A. Bayesian face recognition. Pattern Recognition. 2000; 33(11): 1771–1782.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Bayesian face revisited: A joint formulation // D. Chen, X. Cao, L. Wang, F. Wen, J. Sun // Proc. European Conf. on Computer Vision (ECCV), 2012.Р. 566–579.</mixed-citation><mixed-citation xml:lang="en">Chen D., Cao X., Wang L., Wen F., Sun J. Bayesian face revisited: A joint formulation. In: Proc. European Conf. on Computer Vision (ECCV), 2012. P. 566–579.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Hermans A., Beyer L., Leibe B. In Defense of the Triplet Loss for Person ReIdentification. arXiv preprint arXiv:1703.07737. 2017.</mixed-citation><mixed-citation xml:lang="en">Hermans A., Beyer L., Leibe B. (2017). In Defense of the Triplet Loss for Person Re-Identification. arXiv preprint arXiv:1703.07737.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Person re-identification by local maximal occurrence representation and metric learning / S. Liao, Y. Hu, X. Zhu, S.Z. Li // Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), 2015. Р. 2197–2206.</mixed-citation><mixed-citation xml:lang="en">Liao S., Hu Y., Zhu X., Li S.Z. Person re-identification by local maximal occurrence representation and metric learning. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR). 2015. P. 2197–2206.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Liong V.E., Lu J., Ge Y. Regularized Bayesian metric learning for person reidentification // Proc. ECCV Workshops, 2014. Part III. LNCS 8927. Р. 209–224.</mixed-citation><mixed-citation xml:lang="en">Liong V.E., Lu J., Ge Y. Regularized Bayesian metric learning for person reidentification. In: Proc. ECCV Workshops, 2014. Part III, LNCS 8927. P. 209–224.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Re-ranking person re-identification with k-reciprocal encoding / Z. Zhong, L. Zheng, D. Cao, S. Li // Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), 2017. Р. 1318–1327.</mixed-citation><mixed-citation xml:lang="en">Zhong Z., Zheng L., Cao D., Li S. Re-ranking person re-identification with kreciprocal encoding. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), 2017. P. 1318–1327.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Бобырь М. В., Храпова Н. И. Информационно-аналитическая система детектирования движения объектов на пешеходном переходе // Онтология проектирования. 2024. Т. 14, № 4(54). С. 531-541.</mixed-citation><mixed-citation xml:lang="en">Bobyr M.V., Khrapova N.I. Information-analytical system for detecting object movements on pedestrian crossings. Ontologiya proektirovaniya. 2024; 14(4): 531–541. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Бобырь М. В., Милостная Н. А., Храпова Н. И. О подходе к детектированию движения пешеходов методом гистограмм направленных градиентов // Электронные библиотеки. 2024. Т. 27, № 4. С. 429-447.</mixed-citation><mixed-citation xml:lang="en">Bobyr M.V., Milostnaya N.A., Khrapova N.I. An approach to pedestrian motion detection using histogram of oriented gradients. Elektronnye biblioteki = Elektronnye biblioteki, 2024, 27(4): 429–447. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Русаков К.Д. Алгоритм реидентификации личности на основе глубоких сверточных сетей // Управление большими системами: сборник трудов. 2025. Вып. 110.</mixed-citation><mixed-citation xml:lang="en">Rusakov K.D. Person re-identification algorithm based on deep convolutional neural networks. Upravlenie bol'shimi sistemami: sbornik trudov. 2025; (110). (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Yu Changqian, Gao Changxin, Wang Jingbo, Yu Gang, Shen Chunhua, Sang Nong. BiSeNet V2: Bilateral Network with Guided Aggregation for Real-time Semantic Segmentation. 2020.</mixed-citation><mixed-citation xml:lang="en">Yu C., Gao C., Wang J., Yu G., Shen C., Sang N. BiSeNet V2: Bilateral network with guided aggregation for real-time semantic segmentation. Int. J. Comput. Vis., 2020.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Игнатьева С.А., Богуш Р.П. Реидентификация людей по данным систем видеонаблюдения с использованием машинного обучения // Искусственный интеллект в Беларуси: материалы II Форума. Минск, 2023. С. 112–119.</mixed-citation><mixed-citation xml:lang="en">Ignatieva S.A., Bogush R.P. Person re-identification using machine learning based on surveillance systems data. In: Iskusstvennyi intellekt v Belarusi: materialy II Foruma = In: Artificial Intelligence in Belarus: Proceedings of the II Forum. Minsk; 2023. P. 112–119. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Deep LearniFng for Person Re-identification: A Survey and Outlook / M.Ye, J. Shen, G. Lin, T. Xiang, L. Shao, S. C. H. Hoi // IEEE Transactions on Pattern Analysis and Machine Intelligence. 2021. 44(6). P. 2872–2893.</mixed-citation><mixed-citation xml:lang="en">Ye M., Shen J., Lin G., Xiang T., Shao L., Hoi S. C. H. Deep Learning for Person Re-identification: A Survey and Outlook. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021. 44(6): 2872–2893.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Semi-supervised Bayesian attribute learning for person re-identification / W. Liu, X. Chang, L. Chen, Y. Yang // Proc. AAAI Conf. on Artificial Intelligence, 2018. Р. 680–687.</mixed-citation><mixed-citation xml:lang="en">Liu W., Chang X., Chen L., Yang Y. Semi-supervised Bayesian attribute learning for person re-identification. In: Proc. AAAI Conf. on Artificial Intelligence, 2018. P. 680–687.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Spindle net: Person re-identification with human body region guided feature decomposition and fusion / H. Zhao, W. Ouyang, X. Li, X. Wang // Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), 2017. Р. 907–915.</mixed-citation><mixed-citation xml:lang="en">Zhao H., Ouyang W., Li X., Wang X. Spindle net: Person re-identification with human body region guided feature decomposition and fusion. In: Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), 2017. P. 907–915.</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>
