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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">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2024-21-2-83-94</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-1256</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>КОМПЬЮТЕРНЫЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>COMPUTER SCIENCE</subject></subj-group></article-categories><title-group><article-title>РЕШЕНИЕ ЗАДАЧИ СЛАБО КОНТРОЛИРУЕМОЙ РЕГРЕССИИ С ИСПОЛЬЗОВАНИЕМ МАТРИЦЫ КОАССОЦИАЦИИ И РЕГУЛЯРИЗАЦИИ</article-title><trans-title-group xml:lang="en"><trans-title>SOLUTION TO THE PROBLEM WEAKLY CONTROLLED REGRESSION USING COASSOCIATION MATRIX AND REGULARIZATION</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8948-4205</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Черикбаева</surname><given-names>Л. Ш.</given-names></name><name name-style="western" xml:lang="en"><surname>Cherikbayeva</surname><given-names>L. Ch.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD</p><p>050040, г. Алматы</p><p>050040, г. Алматы</p></bio><bio xml:lang="en"><p>PhD</p><p> 050040, Almaty</p><p>050040, Almaty</p></bio><email xlink:type="simple">cherikbayeva.lyailya@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4835-5751</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мукажанов</surname><given-names>Н. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Mukazhanov</surname><given-names>N. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD</p><p> 050013, г. Алматы</p></bio><bio xml:lang="en"><p>PhD</p><p>050013, Almaty</p></bio><email xlink:type="simple">n.mukazhanov@satbayev.university</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9565-5621</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Алибиева</surname><given-names>Ж. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Alibiyeva</surname><given-names>Z.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD</p><p>050013, г. Алматы</p></bio><bio xml:lang="en"><p>PhD</p><p>050013, Almaty</p></bio><email xlink:type="simple">alibievajibek@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Адилжанова</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Adilzhanova</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD</p><p>050040, г. Алматы</p></bio><bio xml:lang="en"><p>PhD</p><p>050040, Almaty</p></bio><email xlink:type="simple">asaltanat81@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4322-8983</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тюлепбердинова</surname><given-names>Г. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Tyulepberdinova</surname><given-names>G. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. физ.-мат. наук, доцент, PhD</p><p>050040, г. Алматы</p></bio><bio xml:lang="en"><p>ф.-м.ғ.к., доцент, PhD</p><p>050040, Almaty</p></bio><email xlink:type="simple">tyulepberdinova@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6652-1357</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сакыпбекова</surname><given-names>М. Ж.</given-names></name><name name-style="western" xml:lang="en"><surname>Sakypbekova</surname><given-names>M. Zh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD</p><p>050040, г. Алматы</p></bio><bio xml:lang="en"><p>PhD</p><p>050040, Almaty</p></bio><email xlink:type="simple">sakypbekova.meruyert@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">КазНУ имени аль-Фараби; Институт информационных и вычислительных технологий<country>Казахстан</country></aff><aff xml:lang="en">Al Farabi Kazakh National University; Institute of Information and Computing Technologies<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">КазНИТУ имени К.И. Сатпаева<country>Казахстан</country></aff><aff xml:lang="en">Satbayev University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru">КазНУ имени аль-Фараби<country>Россия</country></aff><aff xml:lang="en">Al Farabi Kazakh National University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>01</day><month>07</month><year>2024</year></pub-date><volume>21</volume><issue>2</issue><fpage>83</fpage><lpage>94</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Черикбаева Л.Ш., Мукажанов Н.К., Алибиева Ж.М., Адилжанова С.А., Тюлепбердинова Г.А., Сакыпбекова М.Ж., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Черикбаева Л.Ш., Мукажанов Н.К., Алибиева Ж.М., Адилжанова С.А., Тюлепбердинова Г.А., Сакыпбекова М.Ж.</copyright-holder><copyright-holder xml:lang="en">Cherikbayeva L.C., Mukazhanov N.K., Alibiyeva Z., Adilzhanova S.A., Tyulepberdinova G.A., Sakypbekova M.Z.</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://vestnik.kbtu.edu.kz/jour/article/view/1256">https://vestnik.kbtu.edu.kz/jour/article/view/1256</self-uri><abstract><p>В настоящее время теория и методы машинного обучения (МО) быстро развиваются и все шире используются в различных областях науки и техники, в частности в производстве, образовании и медицине. Слабо контролируемое обучение – это часть исследований в области машинного обучения, направленная на разработку моделей и методов анализа различных типов информации. При формулировании задачи обучения со слабо контролируемой обучением предполагается, что некоторые объекты в модели определены неправильно. Эту неточность можно понимать по-разному. Слабо контролируемое обучение – это тип метода машинного обучения, при котором модель обучается с использованием неполных, неточных или неточных сигналов наблюдения, а не с использованием полностью проверенных данных. Слабо контролируемое обучение часто возникает в реальных задачах по разным причинам. Это может быть связано с высокой стоимостью процесса маркировки данных, низкой точностью датчиков, недостатком опыта экспертов или человеческой ошибкой. Например, маркировка плохого контроля осуществляется в случаях, полученных методами краудсорсинга: для каждого объекта имеется набор различных оценок, качество которых зависит от мастерства исполнителей. Другой пример – проблема обнаружения объекта на изображении. Ограничительные линии – это распространенный способ указания местоположения и размера объектов, обнаруженных на изображении, в задачах обнаружения объектов. В статье представлен алгоритм решения многокритериальной задачи слабо контролируемой регрессии с использованием метрики Вассерштейна, различной регуляризации и матрицы коассоциации в качестве матрицы подобия. В работе также был усовершенствован алгоритм расчета средневзвешенной матрицы коассоциаций. Мы сравниваем предложенный алгоритм с существующими алгоритмами обучения с учителем и обучения без учителя на синтетических и реальных данных.</p></abstract><trans-abstract xml:lang="en"><p>Currently, the theory and methods of machine learning (ML) are rapidly developing and are increasingly used in various fields of science and technology, in particular in manufacturing, education and medicine. Weakly supervised learning is a subset of machine learning research that aims to develop models and methods for analyzing various types of information. When formulating a weakly supervised learning problem, it is assumed that some objects in the model are not defined correctly. This inaccuracy can be understood in different ways. Weakly supervised learning is a type of machine learning method in which a model is trained using incomplete, inaccurate, or imprecise observation signals rather than using fully validated data. Weakly supervised learning often occurs in real-world problems for various reasons. This may be due to the high cost of the data labeling process, low sensor accuracy, lack of expert experience, or human error. For example, labeling of poor control is carried out in cases obtained by crowdsourcing methods: for each object there is a set of different assessments, the quality of which depends on the skill of the performers. Another example is the problem of object detection in an image. Boundary lines are a common way to indicate the location and size of objects detected in an image in object detection tasks. The article presents an algorithm for solving a multi-objective weakly supervised regression problem using the Wasserstein metric, various regularizations and a co-association matrix as a similarity matrix. The work also improved the algorithm for calculating the weighted average co-association matrix. We compare the proposed algorithm with existing supervised learning and unsupervised learning algorithms on synthetic and real data.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>слабо контролируемое обучение</kwd><kwd>кластерный ансамбль</kwd><kwd>многоцелевая регрессия</kwd><kwd>матрица сходства низкого ранга</kwd><kwd>матрица коассоциации</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Weakly supervised learning</kwd><kwd>cluster ensemble</kwd><kwd>multi-objective regression</kwd><kwd>low-rank similarity matrix</kwd><kwd>co-association matrix</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">Qin Q., Zhou X., Jiang Y. (2021) Prognosis Prediction of Stroke based on Machine Learning and Explanation Model, International Journal of Computers, Communications and Control, vol. 6, pp. 1–13.</mixed-citation><mixed-citation xml:lang="en">Qin Q., Zhou X., Jiang Y. 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