<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-04422094</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-04T09:13:46+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Weakly supervised covariance matrices alignment through Stiefel matrices estimation for MEG applications</title>
            <author role="aut">
              <persName>
                <forename type="first">Antoine</forename>
                <surname>Collas</surname>
              </persName>
              <email type="md5">13d02608fb871f5c752dfeb68e92a156</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">antoine-collas</idno>
              <idno type="idhal" notation="numeric">183126</idno>
              <idno type="halauthorid" notation="string">48842-183126</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-1945-462X</idno>
              <affiliation ref="#struct-1124248"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Rémi</forename>
                <surname>Flamary</surname>
              </persName>
              <email type="md5">eaf26482480444e1fdf28e5dd475ae06</email>
              <email type="domain">polytechnique.edu</email>
              <idno type="idhal" notation="string">remi-flamary</idno>
              <idno type="idhal" notation="numeric">22</idno>
              <idno type="halauthorid" notation="string">19724-22</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=zDnwxFQAAAAJ&amp;hl=fr</idno>
              <idno type="IDREF">https://www.idref.fr/188395008</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-4212-6627</idno>
              <idno type="ARXIV">https://arxiv.org/a/flamary_r_1</idno>
              <affiliation ref="#struct-89626"/>
              <affiliation ref="#struct-563936"/>
              <affiliation ref="#struct-300340"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Alexandre</forename>
                <surname>Gramfort</surname>
              </persName>
              <email type="md5">9976bec20103e6a7d904579269b51915</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">agramfort</idno>
              <idno type="idhal" notation="numeric">687</idno>
              <idno type="halauthorid" notation="string">16903-687</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-9791-4404</idno>
              <idno type="IDREF">https://www.idref.fr/169233758</idno>
              <affiliation ref="#struct-1124248"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Antoine</forename>
                <surname>Collas</surname>
              </persName>
              <email type="md5">13d02608fb871f5c752dfeb68e92a156</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2024-01-28 16:08:05</date>
              <date type="whenWritten">2024-01-28</date>
              <date type="whenModified">2025-10-25 03:27:24</date>
              <date type="whenReleased">2024-01-28 16:48:40</date>
              <date type="whenProduced">2024-01-28</date>
              <date type="whenEndEmbargoed">2024-01-28</date>
              <ref type="file" target="https://hal.science/hal-04422094v1/document">
                <date notBefore="2024-01-28"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-04422094v1/file/Mixing_model_Stiefel_Adaptation_Arxiv.pdf" id="file-4422094-3841190">
                <date notBefore="2024-01-28"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="872168">
                <persName>
                  <forename>Antoine</forename>
                  <surname>Collas</surname>
                </persName>
                <email type="md5">13d02608fb871f5c752dfeb68e92a156</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04422094</idno>
            <idno type="halUri">https://hal.science/hal-04422094</idno>
            <idno type="halBibtex">collas:hal-04422094</idno>
            <idno type="halRefHtml">2024</idno>
            <idno type="halRef">2024</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4422094-3841190"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CEA">CEA - Commissariat à l'énergie atomique</idno>
            <idno type="stamp" n="X">École polytechnique</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INRIA-SACLAY" corresp="INRIA">INRIA Saclay - Ile de France</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="X-CMAP" corresp="X">Centre de Mathématiques Appliquées (CMAP)</idno>
            <idno type="stamp" n="X-DEP-MATHA">Département de mathématiques appliquées de l’École polytechnique</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="CMAP">Centre de Mathématiques Appliquées (CMAP)</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="IP_PARIS">Institut Polytechnique de Paris</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="GS-COMPUTER-SCIENCE">Graduate School Computer Science</idno>
            <idno type="stamp" n="PSACLAY-TEST">Université Paris-Saclay - Collection pour tests</idno>
            <idno type="stamp" n="IP-PARIS-MATHEMATIQUES">IP Paris Département de Mathématiques</idno>
          </seriesStmt>
          <notesStmt/>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Weakly supervised covariance matrices alignment through Stiefel matrices estimation for MEG applications</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Antoine</forename>
                    <surname>Collas</surname>
                  </persName>
                  <email type="md5">13d02608fb871f5c752dfeb68e92a156</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">antoine-collas</idno>
                  <idno type="idhal" notation="numeric">183126</idno>
                  <idno type="halauthorid" notation="string">48842-183126</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-1945-462X</idno>
                  <affiliation ref="#struct-1124248"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Rémi</forename>
                    <surname>Flamary</surname>
                  </persName>
                  <email type="md5">eaf26482480444e1fdf28e5dd475ae06</email>
                  <email type="domain">polytechnique.edu</email>
                  <idno type="idhal" notation="string">remi-flamary</idno>
                  <idno type="idhal" notation="numeric">22</idno>
                  <idno type="halauthorid" notation="string">19724-22</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=zDnwxFQAAAAJ&amp;hl=fr</idno>
                  <idno type="IDREF">https://www.idref.fr/188395008</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-4212-6627</idno>
                  <idno type="ARXIV">https://arxiv.org/a/flamary_r_1</idno>
                  <affiliation ref="#struct-89626"/>
                  <affiliation ref="#struct-563936"/>
                  <affiliation ref="#struct-300340"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Alexandre</forename>
                    <surname>Gramfort</surname>
                  </persName>
                  <email type="md5">9976bec20103e6a7d904579269b51915</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">agramfort</idno>
                  <idno type="idhal" notation="numeric">687</idno>
                  <idno type="halauthorid" notation="string">16903-687</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-9791-4404</idno>
                  <idno type="IDREF">https://www.idref.fr/169233758</idno>
                  <affiliation ref="#struct-1124248"/>
                </author>
              </analytic>
              <monogr>
                <imprint/>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Optimal transport</term>
                <term xml:lang="en">Riemannian geometry</term>
                <term xml:lang="en">Neuroscience</term>
              </keywords>
              <classCode scheme="halDomain" n="info">Computer Science [cs]</classCode>
              <classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halOldTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halTreeTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This paper introduces a novel domain adaptation technique for time series data, called Mixing model Stiefel Adaptation (MSA), specifically addressing the challenge of limited labeled signals in the target dataset. Leveraging a domain-dependent mixing model and the optimal transport domain adaptation assumption, we exploit abundant unlabeled data in the target domain to ensure effective prediction by establishing pairwise correspondence with equivalent signal variances between domains. Theoretical foundations are laid for identifying crucial Stiefel matrices, essential for recovering underlying signal variances from a Riemannian representation of observed signal covariances. We propose an integrated cost function that simultaneously learns these matrices, pairwise domain relationships, and a predictor, classifier, or regressor, depending on the task. Applied to neuroscience problems, MSA outperforms recent methods in brain-age regression with task variations using magnetoencephalography (MEG) signals from the Cam-CAN dataset.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-1124248" status="VALID">
          <idno type="RNSR">202224253W</idno>
          <idno type="ROR">https://ror.org/00dfknt61</idno>
          <orgName>Modèles et inférence pour les données de Neuroimagerie</orgName>
          <orgName type="acronym">MIND</orgName>
          <date type="start">2022-04-01</date>
          <date type="end">2026-03-31</date>
          <desc>
            <address>
              <addrLine>1 rue Honoré d'Estienne d'Orves Campus de l'École Polytechnique 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-118170" type="direct"/>
            <relation active="#struct-300016" type="indirect"/>
            <relation active="#struct-1225627" type="direct"/>
            <relation active="#struct-118511" type="indirect"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-89626" status="VALID">
          <idno type="IdRef">197373461</idno>
          <idno type="ISNI">000000010944436X</idno>
          <idno type="RNSR">199719340P</idno>
          <idno type="ROR">https://ror.org/012e1xn46</idno>
          <idno type="Wikidata">Q16008922</idno>
          <orgName>Centre de Mathématiques Appliquées de l'Ecole polytechnique</orgName>
          <orgName type="acronym">CMAP</orgName>
          <date type="start">2005-01-01</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91128 Palaiseau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://cmap.ip-paris.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-300340" type="direct"/>
            <relation active="#struct-563936" type="indirect"/>
            <relation name="UMR7641" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-563936" status="VALID">
          <idno type="IdRef">238327159</idno>
          <idno type="ISNI">0000000502717600</idno>
          <idno type="ROR">https://ror.org/042tfbd02</idno>
          <idno type="Wikidata">Q48759778</idno>
          <orgName>Institut Polytechnique de Paris</orgName>
          <orgName type="acronym">IP Paris</orgName>
          <date type="start">2019-06-02</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91120 Palaiseau Cedex, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ip-paris.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300340" status="VALID">
          <idno type="IdRef">027309320</idno>
          <idno type="ISNI">0000000121581279</idno>
          <idno type="ROR">https://ror.org/05hy3tk52</idno>
          <idno type="Wikidata">Q273626</idno>
          <orgName>École polytechnique</orgName>
          <orgName type="acronym">X</orgName>
          <date type="start">1794-03-11</date>
          <desc>
            <address>
              <addrLine>Route de Saclay, 91128 Palaiseau Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.polytechnique.edu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-563936" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-118170" status="VALID">
          <orgName>IFR49 - Neurospin - CEA</orgName>
          <desc>
            <address>
              <addrLine>Gif sur Yvette</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-300016" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300016" status="VALID">
          <idno type="IdRef">026372061</idno>
          <idno type="ISNI">0000000122998025</idno>
          <idno type="ROR">https://ror.org/00jjx8s55</idno>
          <idno type="Wikidata">Q868550</idno>
          <orgName>Commissariat à l'énergie atomique et aux énergies alternatives</orgName>
          <orgName type="acronym">CEA</orgName>
          <desc>
            <address>
              <addrLine>Centre de SaclayCentre de GrenobleCentre de Cadaracheetc</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cea.fr/</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-1225627" status="VALID">
          <idno type="ROR">https://ror.org/040753f36</idno>
          <orgName>Centre Inria de l'Université Paris-Saclay</orgName>
          <date type="start">2022-11-01</date>
          <desc>
            <address>
              <addrLine>9 Rue Joliot Curie, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-118511" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-118511" status="VALID">
          <idno type="RNSR">200818248E</idno>
          <idno type="ROR">https://ror.org/0315e5x55</idno>
          <orgName>Centre Inria de Saclay</orgName>
          <desc>
            <address>
              <addrLine>1 rue Honoré d'Estienne d'OrvesBâtiment Alan TuringCampus de l'École Polytechnique91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/saclay</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>