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<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-2492</article-id>
      <title-group>
        <article-title>Improving machine learning algorithms using methodological stochastic differential equations</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Saluja</surname>
            <given-names>Isha</given-names>
          </name>
          <aff>Symbiosis Law School Pune (SLS-P), Symbiosis Centre for Advanced Legal Studies and Research (SCALSAR), Symbiosis International (Deemed University), Pune, Maharashtra, 411014, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Bhattacharjee</surname>
            <given-names>Srijita</given-names>
          </name>
          <aff>Department of Engineering and Technology (CSE), Bharati Vidyapeeth (Deemed to be University), Kharghar, Navi Mumbai, Maharashtra, 410210, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Bibhu</surname>
            <given-names>Vimal</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, Noida International University, Greater Noida, Uttar Pradesh, 203201, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Naidu</surname>
            <given-names>S. Mohan Mahalakshmi</given-names>
          </name>
          <aff>Department of Electronics &amp; Telecommunication, International Institute of Information Technology (I²IT), Pune, Maharashtra, 411057, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Buradkar</surname>
            <given-names>Vanita S.</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, Rajiv Gandhi College of Engineering, Research &amp; Technology, Chandrapur, Maharashtra, 442403, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Makhmudov</surname>
            <given-names>Samariddin</given-names>
          </name>
          <aff>Department of Finance and Tourism, Termez University of Economics and Service, Termez, 190111, Uzbekistan</aff>
          <aff>Department of Economics, Mamun University, Khiva, 220900, Uzbekistan</aff>
          <aff>Center of the Engagement of International Ranking Agencies, Tashkent State University of Economics, Tashkent, 100066, Uzbekistan</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>3</issue>
      <fpage>575</fpage>
      <lpage>585</lpage>
      <pub-date date-type="pub">
        <day>18</day>
        <month>03</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The study examines the application of scientific stochastic differential equations (SDEs) to machine learning techniques to make them more robust and predictive. This is an approach that enhances generalization in evolutionary and complex environments because it characterizes the skepticism and clatter of data that are constructed in with SDEs. We come up with new SDE-based systems that can modify the fast rate at which they learn as well as the frequency with which they revise parameters. This ensures that converging is more stable. Big changes in measures of speed are seen in experimental results on test datasets when compared to traditional optimization methods. The proposed approach provides a solid mathematical means of incorporating stochastic dynamics that provide more data of how algorithms behave in the case of doubt. </p>
      </abstract>
      <kwd-group>
        <kwd>Stochastic differential equations</kwd>
        <kwd>Machine learning</kwd>
        <kwd>Robustness</kwd>
        <kwd>Optimization</kwd>
        <kwd>Predictive modeling</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
