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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">6</article-id>
      <article-id pub-id-type="doi">10.18721/JPM.10206</article-id>
      <title-group>
        <article-title>Clustering algorithms application to the representative sample  formation in the training of the multilayer perceptron</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Применение алгоритмов кластеризации к формированию представительской выборки для обучения многослойного персептрона</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Pastukhov</surname>
            <given-names>Alexey</given-names>
          </name>
          <email>pastuhov1992@gmail.com</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Prokofiev</surname>
            <given-names>Alexander</given-names>
          </name>
          <email>aaprokof@yandex.ru</email>
        </contrib>
      </contrib-group>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2017-06-10">
        <day>10</day>
        <month>06</month>
        <year>2017</year>
      </pub-date>
      <volume>10</volume>
      <issue>2</issue>
      <fpage>58</fpage>
      <lpage>68</lpage>
      <self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="https://physmath.spbstu.ru/userfiles/files/articles/2017/2/06_58_68_10_2_2017.pdf"/>
      <abstract xml:lang="en">
        <p>In this paper, we have considered the problem of effective forming the representative sample for training the neural network of the multilayer perceptron (MLP) type.  An approach based on the use of clustering that allowed to increase the entropy of the training set was put forward. Various clustering algorithms were examined in order to form the representative sample.  The algorithm-based clustering of factor spaces of various dimensions was carried out, and a representative sample was formed. To verify our approach we synthesized the MLP neural network and trained it. The training technique was performed with the sets formed both with and without clustering. A comparative analysis of the effectiveness of clustering algorithms was carried out in relation to the problem of representative sample formation.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>neural network</kwd>
        <kwd>clustering algorithm</kwd>
        <kwd>representative sample</kwd>
        <kwd>multilayer perceptron</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
