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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">bsuir</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады БГУИР</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady BGUIR</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7648</issn><issn pub-type="epub">2708-0382</issn><publisher><publisher-name>БГУИР</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.35596/1729-7648-2026-24-1-13-20</article-id><article-id custom-type="elpub" pub-id-type="custom">bsuir-4293</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Гибридный метод глубокого обучения для решения обратной задачи детектирования гетерогенных систем по многомерным данным оптических сенсоров</article-title><trans-title-group xml:lang="en"><trans-title>Hybrid Deep Learning Method for Solving the Inverse Problem of Heterogeneous Systems Detection Using Multidimensional Optical Sensor Data</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>Саечников</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Saetchnikov</surname><given-names>I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Саечников Иван Владимирович - ст. преп. </p><p>220064, Минск, ул. Курчатова, 1</p><p>Тел.: +375 17 398-70-42 </p></bio><bio xml:lang="en"><p>Saetchnikov Ivan - Senior Lecturer</p><p>220064, Minsk, Kurchatova St., 1</p><p>Тel.: +375 17 398-70-42 </p></bio><email xlink:type="simple">saetchnikovivan@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чернявская</surname><given-names>Э. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Tcherniavskaia</surname><given-names>E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р физ.-мат. наук, проф. </p><p>Минск</p></bio><bio xml:lang="en"><p>Elina Tcherniavskaia - Dr. Sci. (Phys. and Math.), Professor </p><p>Minsk </p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Саечников</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Saetchnikov</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. физ.-мат. наук, науч. сотр. </p><p>Минск</p></bio><bio xml:lang="en"><p>Anton Saetchnikov - Сand. Sci. (Phys. and Math.), Researcher </p><p>Minsk </p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский государственный университет</institution></aff><aff xml:lang="en"><institution>Belarusian State University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>04</day><month>03</month><year>2026</year></pub-date><volume>24</volume><issue>1</issue><fpage>13</fpage><lpage>20</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Саечников И.В., Чернявская Э.А., Саечников А.В., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Саечников И.В., Чернявская Э.А., Саечников А.В.</copyright-holder><copyright-holder xml:lang="en">Saetchnikov I., Tcherniavskaia E., Saetchnikov 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://doklady.bsuir.by/jour/article/view/4293">https://doklady.bsuir.by/jour/article/view/4293</self-uri><abstract><p>Современные методы машинного и глубокого обучения эффективно справляются с прямыми задачами обработки данных с сенсоров и с выявлением сложных зависимостей, обеспечивая устойчивость к шумам и вариациям в данных. Наиболее актуальной является задача синтеза результатов обработки многомерных данных гибридными методами обучения для решения обратных задач, таких как определение компонент динамически изменяющихся сложных гетерогенных систем без нарушения их свойств в мультисенсорных измерительных платформах. В статье рассмотрен гибридный метод глубокого обучения, интегрированный в платформу на основе оптических сенсоров и сочетающий сверточные нейронные сети, двунаправленные сети долгой краткосрочной памяти и трансформерные энкодеры, что обеспечивает динамический мониторинг компонент гетерогенных систем. Гибридный метод применительно к биосенсорной платформе демонстрирует точность классификации более 98 % по типу раствора и восстановление значений концентрации белковых компонентов с медианной точностью до 2 нг/мл.</p></abstract><trans-abstract xml:lang="en"><p>Modern machine and deep learning methods effectively handle direct sensor data processing tasks and identify complex dependencies, ensuring robustness to noise and data variations. The most pressing problem is the synthesis of the results of processing multidimensional data using hybrid learning methods to solve inverse problems, such as determining the components of dynamically changing complex heterogeneous systems without violating their properties in multisensory measurement platforms. This paper presents a hybrid deep learning method integrated into an optical sensor platform that combines convolutional neural networks, bidirectional long short-term memory networks, and transformer encoders to enable dynamic monitoring of heterogeneous system components. The hybrid method, when applied to a biosensor platform, demonstrates classification accuracy of over 98 % by solution type and recovery of protein component concentration values with a median accuracy of up to 2 ng/ml.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>гибридное глубокое обучение</kwd><kwd>обратная задача</kwd><kwd>многомерные данные</kwd><kwd>детектирование</kwd><kwd>оптический сенсор</kwd><kwd>динамический мониторинг</kwd></kwd-group><kwd-group xml:lang="en"><kwd>hybrid deep learning</kwd><kwd>inverse problem</kwd><kwd>multidimensional data</kwd><kwd>detection</kwd><kwd>optical sensor</kwd><kwd>dynamic monitoring</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">Zou H., Zhou Z., Huang M., Li W., Yang M., Zhao X., et al. (2025) NFC/RFID-Enabled Wearables and Implants for Biomedical Applications. 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