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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Earth Sciences</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Earth Sciences</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Russian Journal of Earth Sciences</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">1681-1208</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">90657</article-id>
   <article-id pub-id-type="doi">10.2205/2025ES000996</article-id>
   <article-id pub-id-type="edn">budhdy</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Спецвыпуск: &quot;Наука о данных, геоинформатика и системный анализ в изучении Земли&quot;</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Special Issue: “Data Science, Geoinformatics and Systems Analysis in Geosciences”</subject>
    </subj-group>
    <subj-group>
     <subject>Спецвыпуск: &quot;Наука о данных, геоинформатика и системный анализ в изучении Земли&quot;</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Artificial Neural Network for Downward Continuation of Anomalous Magnetic Fields</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Artificial Neural Network for Downward Continuation of Anomalous Magnetic Fields</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7963-3673</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Рытов</surname>
       <given-names>Руслан Алексеевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Rytov</surname>
       <given-names>Ruslan Alekseevich</given-names>
      </name>
     </name-alternatives>
     <email>ruslan.rytov2017@yandex.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт земного магнетизма, ионосферы и распространения радиоволн им. Н.В.Пушкова РАН (ИЗМИРАН), г. Москва, г. Троицк, Россия</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation of the Russian Academy of Sciences (IZMIRAN), Moscow, Troitsk, Russia</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-05-23T16:41:25+03:00">
    <day>23</day>
    <month>05</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-05-23T16:41:25+03:00">
    <day>23</day>
    <month>05</month>
    <year>2025</year>
   </pub-date>
   <volume>25</volume>
   <issue>2</issue>
   <fpage>1</fpage>
   <lpage>5</lpage>
   <history>
    <date date-type="received" iso-8601-date="2024-11-15T00:00:00+03:00">
     <day>15</day>
     <month>11</month>
     <year>2024</year>
    </date>
    <date date-type="accepted" iso-8601-date="2025-04-15T00:00:00+03:00">
     <day>15</day>
     <month>04</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://rjes.ru/en/nauka/article/90657/view">https://rjes.ru/en/nauka/article/90657/view</self-uri>
   <abstract xml:lang="ru">
    <p>The downward continuation of an anomalous magnetic field is used for many applications in geophysics. However, such a problem is ill-posed, so it does not have a unique and stable solution. In this paper, we propose an artificial neural network architecture for the downward continuation of the vertical component of an anomalous geomagnetic field measured in a plane at a given height. The inverse problem is solved here by a direct method: the neural network is trained to reconstruct such a distribution of the magnetic field Bdown, which after a stable upward continuation corresponds to the measured field Bup. The performance of the neural network was demonstrated using the example of an anomalous geomagnetic field obtained using the Enhanced Magnetic Model.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The downward continuation of an anomalous magnetic field is used for many applications in geophysics. However, such a problem is ill-posed, so it does not have a unique and stable solution. In this paper, we propose an artificial neural network architecture for the downward continuation of the vertical component of an anomalous geomagnetic field measured in a plane at a given height. The inverse problem is solved here by a direct method: the neural network is trained to reconstruct such a distribution of the magnetic field Bdown, which after a stable upward continuation corresponds to the measured field Bup. The performance of the neural network was demonstrated using the example of an anomalous geomagnetic field obtained using the Enhanced Magnetic Model.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>stray magnetic field</kwd>
    <kwd>magnetic anomaly</kwd>
    <kwd>untrained neural networks</kwd>
    <kwd>inverse modeling</kwd>
    <kwd>downward continuation</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>stray magnetic field</kwd>
    <kwd>magnetic anomaly</kwd>
    <kwd>untrained neural networks</kwd>
    <kwd>inverse modeling</kwd>
    <kwd>downward continuation</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">The study was supported by the Russian Science Foundation grant No. 24-27-00250.</funding-statement>
    <funding-statement xml:lang="en">The study was supported by the Russian Science Foundation grant No. 24-27-00250.</funding-statement>
   </funding-group>
  </article-meta>
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