<?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-01103853</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="2026-05-20T06:01:45+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Discriminant Analysis for Multi-way Data</title>
            <author role="aut">
              <persName>
                <forename type="first">Gisela</forename>
                <surname>Lechuga</surname>
              </persName>
              <idno type="halauthorid">854625-0</idno>
              <affiliation ref="#struct-123689"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Laurent</forename>
                <surname>Le Brusquet</surname>
              </persName>
              <email type="md5">c7708c904897cd4c1c2e7d777d16ec1c</email>
              <email type="domain">centralesupelec.fr</email>
              <idno type="idhal" notation="string">laurent-le-brusquet</idno>
              <idno type="idhal" notation="numeric">21973</idno>
              <idno type="halauthorid" notation="string">6335-21973</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-6930-0886</idno>
              <idno type="IDREF">https://www.idref.fr/201013053</idno>
              <affiliation ref="#struct-123689"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Vincent</forename>
                <surname>Perlbarg</surname>
              </persName>
              <idno type="idhal" notation="numeric">758332</idno>
              <idno type="halauthorid" notation="string">219624-758332</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3438-2479</idno>
              <affiliation ref="#struct-3036"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Louis</forename>
                <surname>Puybasset</surname>
              </persName>
              <email type="md5">02ce9f7a9c61018d2fe3579f09817125</email>
              <email type="domain">psl.aphp.fr</email>
              <idno type="idhal" notation="numeric">759706</idno>
              <idno type="halauthorid" notation="string">309943-759706</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-6849-1825</idno>
              <idno type="IDREF">https://www.idref.fr/086982273</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/GCD-8822-2022</idno>
              <idno type="VIAF">https://viaf.org/viaf/159986597</idno>
              <idno type="ISNI">http://isni.org/isni/0000000107333009</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/GCD-8822-2022</idno>
              <affiliation ref="#struct-148207"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Damien</forename>
                <surname>Galanaud</surname>
              </persName>
              <email type="md5">53d3b9196b09c7876dbc57c0f732d1d0</email>
              <email type="domain">sorbonne-universite.fr</email>
              <idno type="idhal" notation="string">dgalanaud</idno>
              <idno type="idhal" notation="numeric">1212520</idno>
              <idno type="halauthorid" notation="string">143025-1212520</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-9285-8121</idno>
              <idno type="IDREF">https://www.idref.fr/091982332</idno>
              <affiliation ref="#struct-353778"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Arthur</forename>
                <surname>Tenenhaus</surname>
              </persName>
              <email type="md5">c5e660f5db08d56a213a6d155a3ca7e8</email>
              <email type="domain">centralesupelec.fr</email>
              <idno type="idhal" notation="string">arthur-tenenhaus</idno>
              <idno type="idhal" notation="numeric">736979</idno>
              <idno type="halauthorid" notation="string">4562-736979</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-3459-1518</idno>
              <idno type="IDREF">https://www.idref.fr/115337822</idno>
              <affiliation ref="#struct-123689"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Alexandra</forename>
                <surname>Siebert</surname>
              </persName>
              <email type="md5">f127149c856500ac5bdf4b2e354b50c2</email>
              <email type="domain">centralesupelec.fr.invalid</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2015-01-15 16:30:00</date>
              <date type="whenModified">2024-12-12 03:43:06</date>
              <date type="whenReleased">2015-01-15 16:35:23</date>
              <date type="whenProduced">2014-05-26</date>
              <date type="whenEndEmbargoed">2015-01-15</date>
              <ref type="file" target="https://centralesupelec.hal.science/hal-01103853v1/document">
                <date notBefore="2015-01-15"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://centralesupelec.hal.science/hal-01103853v1/file/PLSabstractFinal.pdf" id="file-1103934-1186868">
                <date notBefore="2015-01-15"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="175539">
                <persName>
                  <forename>Alexandra</forename>
                  <surname>Siebert</surname>
                </persName>
                <email type="md5">f127149c856500ac5bdf4b2e354b50c2</email>
                <email type="domain">centralesupelec.fr.invalid</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01103853</idno>
            <idno type="halUri">https://centralesupelec.hal.science/hal-01103853</idno>
            <idno type="halBibtex">lechuga:hal-01103853</idno>
            <idno type="halRefHtml">&lt;i&gt;PLS 2014&lt;/i&gt;, May 2014, Paris, France. 2 p</idno>
            <idno type="halRef">PLS 2014, May 2014, Paris, France. 2 p</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1103934-1186868"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="INSERM">INSERM - Institut national de la santé et de la recherche médicale</idno>
            <idno type="stamp" n="SUPELEC">SUPELEC</idno>
            <idno type="stamp" n="UPMC" corresp="SORBONNE-UNIVERSITE">Université Pierre et Marie Curie</idno>
            <idno type="stamp" n="APHP" corresp="INSERM">AP-HP</idno>
            <idno type="stamp" n="SUP_SSE" corresp="SUPELEC">SSE - Département Signaux et Systèmes Electroniques</idno>
            <idno type="stamp" n="SUP_E3S">E3S - Supélec Sciences des Systèmes</idno>
            <idno type="stamp" n="UPMC-LIF" corresp="SORBONNE-UNIVERSITE">Laboratoire d'Imagerie Fonctionnelle</idno>
            <idno type="stamp" n="LIB" corresp="SORBONNE-UNIVERSITE">Laboratoire d'Imagerie Biomédicale</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</idno>
            <idno type="stamp" n="UPMC_POLE_1" corresp="UPMC">UPMC Pôle 1</idno>
            <idno type="stamp" n="SORBONNE-UNIVERSITE">Sorbonne Université</idno>
            <idno type="stamp" n="SU-INF-2018" corresp="SORBONNE-UNIVERSITE">SORBONNE université &lt;2018</idno>
            <idno type="stamp" n="SU-MEDECINE" corresp="SORBONNE-UNIVERSITE">Faculté de Santé de Sorbonne Université</idno>
            <idno type="stamp" n="SU-SCIENCES" corresp="SORBONNE-UNIVERSITE">Faculté des Sciences de Sorbonne Université</idno>
            <idno type="stamp" n="SU-MED" corresp="SORBONNE-UNIVERSITE">Médecine - Sorbonne Université</idno>
            <idno type="stamp" n="SU-TI">Sorbonne Université - Texte Intégral</idno>
            <idno type="stamp" n="ALLIANCE-SU"> Alliance Sorbonne Université</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Discriminant Analysis for Multi-way Data</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Gisela</forename>
                    <surname>Lechuga</surname>
                  </persName>
                  <idno type="halauthorid">854625-0</idno>
                  <affiliation ref="#struct-123689"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Laurent</forename>
                    <surname>Le Brusquet</surname>
                  </persName>
                  <email type="md5">c7708c904897cd4c1c2e7d777d16ec1c</email>
                  <email type="domain">centralesupelec.fr</email>
                  <idno type="idhal" notation="string">laurent-le-brusquet</idno>
                  <idno type="idhal" notation="numeric">21973</idno>
                  <idno type="halauthorid" notation="string">6335-21973</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-6930-0886</idno>
                  <idno type="IDREF">https://www.idref.fr/201013053</idno>
                  <affiliation ref="#struct-123689"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Vincent</forename>
                    <surname>Perlbarg</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">758332</idno>
                  <idno type="halauthorid" notation="string">219624-758332</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3438-2479</idno>
                  <affiliation ref="#struct-3036"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Louis</forename>
                    <surname>Puybasset</surname>
                  </persName>
                  <email type="md5">02ce9f7a9c61018d2fe3579f09817125</email>
                  <email type="domain">psl.aphp.fr</email>
                  <idno type="idhal" notation="numeric">759706</idno>
                  <idno type="halauthorid" notation="string">309943-759706</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-6849-1825</idno>
                  <idno type="IDREF">https://www.idref.fr/086982273</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/GCD-8822-2022</idno>
                  <idno type="VIAF">https://viaf.org/viaf/159986597</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000107333009</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/GCD-8822-2022</idno>
                  <affiliation ref="#struct-148207"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Damien</forename>
                    <surname>Galanaud</surname>
                  </persName>
                  <email type="md5">53d3b9196b09c7876dbc57c0f732d1d0</email>
                  <email type="domain">sorbonne-universite.fr</email>
                  <idno type="idhal" notation="string">dgalanaud</idno>
                  <idno type="idhal" notation="numeric">1212520</idno>
                  <idno type="halauthorid" notation="string">143025-1212520</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-9285-8121</idno>
                  <idno type="IDREF">https://www.idref.fr/091982332</idno>
                  <affiliation ref="#struct-353778"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Arthur</forename>
                    <surname>Tenenhaus</surname>
                  </persName>
                  <email type="md5">c5e660f5db08d56a213a6d155a3ca7e8</email>
                  <email type="domain">centralesupelec.fr</email>
                  <idno type="idhal" notation="string">arthur-tenenhaus</idno>
                  <idno type="idhal" notation="numeric">736979</idno>
                  <idno type="halauthorid" notation="string">4562-736979</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-3459-1518</idno>
                  <idno type="IDREF">https://www.idref.fr/115337822</idno>
                  <affiliation ref="#struct-123689"/>
                </author>
              </analytic>
              <monogr>
                <title level="m">Proceedings of the 8th International Conference on Partial Least Squares and Related Methods</title>
                <meeting>
                  <title>PLS 2014</title>
                  <date type="start">2014-05-26</date>
                  <date type="end">2014-05-28</date>
                  <settlement>Paris</settlement>
                  <country key="FR">France</country>
                </meeting>
                <imprint>
                  <biblScope unit="pp">2 pages</biblScope>
                  <date type="datePub">2014-05</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Discriminantanalysis</term>
                <term xml:lang="en">multi-waydata</term>
                <term xml:lang="en">highdimension</term>
                <term xml:lang="en">medicalimaging</term>
              </keywords>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>In standard multivariate data analysis, individuals × variables data table is usually considered (two-way datatable). However, from a practical view point this simple data structure appears to be somehow limitated. It isthe case for instance when individuals are charaterized by the temperature at different locations sampled overdifferent times, leading to a three-way data structure. Such multi-way structure can be viewed as a stack ofmatrices X = Xi jk1≤i≤I, 1≤j≤J, 1≤k≤K from which the I horizontal slices describe the individuals i = 1, ..., I, theJ lateral slices describe the variables (temperature) j = 1, ...,J and the K frontal slices describe the different timepoints k = 1, ...,K. Many two-way data analysis methods have been extended to the multi-way configuration. Forinstance, a multi-way formulation of Partial Least Squares Regression (N-PLS) has been proposed in [1]. N-PLSrelies on the maximization of a covariance criterion but explicitely takes into acount the multi-way structure ofthe input data. In this paper, we present a Multi-way formulation of Fisher Discriminant Analysis (MFDA) in anattempt to improve the interpretability of the resulting model compared with the results obtained with unfoldedmethods. MFDA is illustrated on a real multi-modalMagnetic Resonance Brain Imaging (MRI) dataset</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-123689" status="OLD">
          <orgName>Supélec Sciences des Systèmes</orgName>
          <orgName type="acronym">E3S</orgName>
          <desc>
            <address>
              <addrLine>Plateau du Moulon - 3 rue Joliot-Curie  -  91192 GIF-SUR-YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.supelec.fr/342_p_14975/e3s-equipe.html</ref>
          </desc>
          <listRelation>
            <relation name="EA4454" active="#struct-303397" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-3036" status="OLD">
          <orgName>Laboratoire d'Imagerie Fonctionnelle</orgName>
          <orgName type="acronym">LIF</orgName>
          <desc>
            <address>
              <addrLine>Faculte de Medecine Pitie-Salpetriere 91, Boulevard de L'Hopital 75634 PARIS CEDEX 13</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.imed.jussieu.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-93591" type="direct"/>
            <relation active="#struct-300631" type="direct"/>
            <relation active="#struct-300640" type="direct"/>
            <relation name="U678" active="#struct-303623" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-148207" status="VALID">
          <idno type="ROR">https://ror.org/02nfzhn33</idno>
          <orgName>Johns Hopkins University School of Medicine [Baltimore]</orgName>
          <desc>
            <address>
              <addrLine>733 North Broadway, Suite G49Baltimore, MD 21205-2196</addrLine>
              <country key="US"/>
            </address>
            <ref type="url">http://www.hopkinsmedicine.org/som/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-353778" status="VALID">
          <idno type="ROR">https://ror.org/02mh9a093</idno>
          <orgName>CHU Pitié-Salpêtrière [AP-HP]</orgName>
          <desc>
            <address>
              <addrLine>47-83 Boulevard de l'Hôpital, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.aphp.fr/contenu/hopital-universitaire-pitie-salpetriere-0</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300068" type="direct"/>
            <relation active="#struct-413221" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-303397" status="VALID">
          <orgName>Ecole Supérieure d'Electricité - SUPELEC (FRANCE)</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-93591" status="OLD">
          <idno type="ROR">https://ror.org/02en5vm52</idno>
          <orgName>Université Pierre et Marie Curie - Paris 6</orgName>
          <orgName type="acronym">UPMC</orgName>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>4 place Jussieu - 75005 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.upmc.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300631" status="VALID">
          <orgName>IFR14</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300640" status="VALID">
          <orgName>IFR49</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-303623" status="VALID">
          <idno type="IdRef">026388278</idno>
          <idno type="ROR">https://ror.org/02vjkv261</idno>
          <orgName>Institut National de la Santé et de la Recherche Médicale</orgName>
          <orgName type="acronym">INSERM</orgName>
          <desc>
            <address>
              <addrLine>101, rue de Tolbiac, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inserm.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-300068" status="VALID">
          <idno type="ROR">https://ror.org/00pg5jh14</idno>
          <orgName>Assistance publique - Hôpitaux de Paris (AP-HP)</orgName>
          <orgName type="acronym">AP-HP</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-413221" status="VALID">
          <idno type="IdRef">221333754</idno>
          <idno type="ROR">https://ror.org/02en5vm52</idno>
          <orgName>Sorbonne Université</orgName>
          <orgName type="acronym">SU</orgName>
          <date type="start">2018-01-01</date>
          <desc>
            <address>
              <addrLine>21 rue de l’École de médecine - 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sorbonne-universite.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>