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<article article-type="research-article" dtd-version="1.3" xml:lang="ru">
  <front xmlns:xlink="http://www.w3.org/1999/xlink">
    <journal-meta>
      <journal-title-group>
        <journal-title>St. Petersburg Polytechnic University Journal: Physics and Mathematics</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Научно-технические ведомости СПбГПУ. Физико-математические науки</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2304-9782, 2618-8686, 2405-7223</issn>
    </journal-meta>
    <article-meta xmlns:xlink="http://www.w3.org/1999/xlink">
      <article-id pub-id-type="publisher-id">10</article-id>
      <article-id pub-id-type="doi">10.18721/JPM.16210</article-id>
      <title-group>
        <article-title>Machine learning models to determine unobservable centrality-related parameter values for a wide range of nuclear systems at the energy of 200 GeV</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Модели машинного обучения для определения значений ненаблюдаемых параметров, связанных с центральностью, для широкого спектра ядерных систем при энергии 200 ГэВ</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0002-8910-4775</contrib-id>
          <name>
            <surname>Lobanov</surname>
            <given-names>Andrey</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>lobanov2.aa@edu.spbstu.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0003-0309-5917</contrib-id>
          <name>
            <surname>Berdnikov</surname>
            <given-names>Yaroslav</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>berdnikov@spbstu.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Mitrankov</surname>
            <given-names>Yuriy</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>mitrankovy@gmail.com</email>
        </contrib>
      </contrib-group>
      <aff id="aff1">Peter the Great St. Petersburg Polytechnic University</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2023-06-30">
        <day>30</day>
        <month>06</month>
        <year>2023</year>
      </pub-date>
      <volume>16</volume>
      <issue>2</issue>
      <fpage>111</fpage>
      <lpage>120</lpage>
      <self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="https://physmath.spbstu.ru/userfiles/files/articles/2023/2/10_111-120_16(2)2023.pdf"/>
      <abstract xml:lang="en">
        <p>In the paper, a comparative analysis and a search for the optimal machine learning model have been conducted. The model should predict the values of unobservable centrality-related quantities based on the experimental data for observable quantities, namely, the number of charged particles and the number of neutral ones born in the interactions of both heavy and light ultrarelativistic nuclei. The sought-for unobservable values were the numbers of wounded nucleons involved in the interactions and of the binary nucleon-nucleon collisions. Linear and polynomial regressions of various degrees, a decision tree (DT), a random forest (RF), and a multilayer perceptron (MP) were chosen and considered as machine learning models. The prediction accuracy of the models was characterized and tested by the coefficient of determination. The DT, RF, and MP models were found to predict the desired values with the highest accuracy, i.e., they gave equally good results.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>machine learning</kwd>
        <kwd>nuclei collisions</kwd>
        <kwd>regression</kwd>
        <kwd>decision tree</kwd>
        <kwd>random forest</kwd>
        <kwd>multilayer perceptron</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
