<?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-02895832</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="2026-05-25T07:08:32+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Fréchet Mean Computation in Graph Space through Projected Block Gradient Descent</title>
            <author role="aut">
              <persName>
                <forename type="first">Nicolas</forename>
                <surname>Boria</surname>
              </persName>
              <email type="md5">607d3f04e0cb7cc57edfb592ec0e81f8</email>
              <email type="domain">dauphine.fr</email>
              <idno type="idhal" notation="string">nicolas-boria</idno>
              <idno type="idhal" notation="numeric">21013</idno>
              <idno type="halauthorid" notation="string">19320-21013</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0548-4257</idno>
              <idno type="IDREF">https://www.idref.fr/15565179X</idno>
              <affiliation ref="#struct-989"/>
              <affiliation ref="#struct-552996"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Benjamin</forename>
                <surname>Negrevergne</surname>
              </persName>
              <email type="md5">b468112e7671f7ec1527c2500f238900</email>
              <email type="domain">dauphine.fr</email>
              <idno type="idhal" notation="string">benjamin-negrevergne</idno>
              <idno type="idhal" notation="numeric">172154</idno>
              <idno type="halauthorid" notation="string">17341-172154</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7074-8167</idno>
              <idno type="IDREF">https://www.idref.fr/158905164</idno>
              <affiliation ref="#struct-989"/>
              <affiliation ref="#struct-552996"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Florian</forename>
                <surname>Yger</surname>
              </persName>
              <email type="md5">bd15d1742db8a8eb9af4701a61218702</email>
              <email type="domain">dauphine.fr</email>
              <idno type="idhal" notation="string">florian-yger</idno>
              <idno type="idhal" notation="numeric">17768</idno>
              <idno type="halauthorid" notation="string">2542819-17768</idno>
              <idno type="ARXIV">https://arxiv.org/a/yger_f_1</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7182-8062</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=NF_1_38AAAAJ&amp;hl=en</idno>
              <idno type="IDREF">https://www.idref.fr/176293442</idno>
              <orgName ref="#struct-989"/>
              <affiliation ref="#struct-989"/>
              <affiliation ref="#struct-552996"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Nicolas</forename>
                <surname>Boria</surname>
              </persName>
              <email type="md5">607d3f04e0cb7cc57edfb592ec0e81f8</email>
              <email type="domain">dauphine.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2020-07-10 10:26:43</date>
              <date type="whenModified">2025-06-13 11:38:14</date>
              <date type="whenReleased">2020-07-16 11:59:50</date>
              <date type="whenProduced">2020</date>
              <date type="whenEndEmbargoed">2020-07-10</date>
              <ref type="file" target="https://normandie-univ.hal.science/hal-02895832v1/document">
                <date notBefore="2020-07-10"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://normandie-univ.hal.science/hal-02895832v1/file/Graph_mean_hal.pdf" id="file-2895832-2547257">
                <date notBefore="2020-07-10"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="650070">
                <persName>
                  <forename>Nicolas</forename>
                  <surname>Boria</surname>
                </persName>
                <email type="md5">607d3f04e0cb7cc57edfb592ec0e81f8</email>
                <email type="domain">dauphine.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02895832</idno>
            <idno type="halUri">https://normandie-univ.hal.science/hal-02895832</idno>
            <idno type="halBibtex">boria:hal-02895832</idno>
            <idno type="halRefHtml">&lt;i&gt;ESANN 2020&lt;/i&gt;, 2020, Bruges, France</idno>
            <idno type="halRef">ESANN 2020, 2020, Bruges, France</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-2895832-2547257"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-DAUPHINE">Université Paris Dauphine - Paris IX</idno>
            <idno type="stamp" n="COMUE-NORMANDIE">Normandie Université</idno>
            <idno type="stamp" n="LAMSADE-DAUPHINE" corresp="UNIV-DAUPHINE">LAMSADE (Laboratoire d'Analyse et de Modélisation des Systèmes pour l'Aide à la Décision)</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="UNIV-DAUPHINE-PSL" corresp="PSL">Université Paris Dauphine - PSL</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">Fréchet Mean Computation in Graph Space through Projected Block Gradient Descent</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Nicolas</forename>
                    <surname>Boria</surname>
                  </persName>
                  <email type="md5">607d3f04e0cb7cc57edfb592ec0e81f8</email>
                  <email type="domain">dauphine.fr</email>
                  <idno type="idhal" notation="string">nicolas-boria</idno>
                  <idno type="idhal" notation="numeric">21013</idno>
                  <idno type="halauthorid" notation="string">19320-21013</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0548-4257</idno>
                  <idno type="IDREF">https://www.idref.fr/15565179X</idno>
                  <affiliation ref="#struct-989"/>
                  <affiliation ref="#struct-552996"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Benjamin</forename>
                    <surname>Negrevergne</surname>
                  </persName>
                  <email type="md5">b468112e7671f7ec1527c2500f238900</email>
                  <email type="domain">dauphine.fr</email>
                  <idno type="idhal" notation="string">benjamin-negrevergne</idno>
                  <idno type="idhal" notation="numeric">172154</idno>
                  <idno type="halauthorid" notation="string">17341-172154</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7074-8167</idno>
                  <idno type="IDREF">https://www.idref.fr/158905164</idno>
                  <affiliation ref="#struct-989"/>
                  <affiliation ref="#struct-552996"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Florian</forename>
                    <surname>Yger</surname>
                  </persName>
                  <email type="md5">bd15d1742db8a8eb9af4701a61218702</email>
                  <email type="domain">dauphine.fr</email>
                  <idno type="idhal" notation="string">florian-yger</idno>
                  <idno type="idhal" notation="numeric">17768</idno>
                  <idno type="halauthorid" notation="string">2542819-17768</idno>
                  <idno type="ARXIV">https://arxiv.org/a/yger_f_1</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7182-8062</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=NF_1_38AAAAJ&amp;hl=en</idno>
                  <idno type="IDREF">https://www.idref.fr/176293442</idno>
                  <orgName ref="#struct-989"/>
                  <affiliation ref="#struct-989"/>
                  <affiliation ref="#struct-552996"/>
                </author>
              </analytic>
              <monogr>
                <meeting>
                  <title>ESANN 2020</title>
                  <date type="start">2020</date>
                  <settlement>Bruges</settlement>
                  <country key="FR">France</country>
                </meeting>
                <imprint/>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="info">Computer Science [cs]</classCode>
              <classCode scheme="halDomain" n="info.info-ds">Computer Science [cs]/Data Structures and Algorithms [cs.DS]</classCode>
              <classCode scheme="halDomain" n="info.info-lg">Computer Science [cs]/Machine Learning [cs.LG]</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>A fundamental concept in statistics is the concept of Fréchet sample mean. While its computation is a simple task in Euclidian space, the same does not hold for less structured spaces such as the space of graphs, where concepts of distance or mid-point can be hard to compute. We present some work in progress regarding new distance measures and new algorithms to compute the Fréchet mean in the space of Graphs.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-989" status="VALID">
          <idno type="IdRef">030107156</idno>
          <idno type="ISNI">0000 0001 2097 7052</idno>
          <idno type="RNSR">201120462Y</idno>
          <idno type="ROR">https://ror.org/052bz7812</idno>
          <idno type="Wikidata">Q3214405</idno>
          <orgName>Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision</orgName>
          <orgName type="acronym">LAMSADE</orgName>
          <desc>
            <address>
              <addrLine>Place de Lattre de Tassigny 75775 PARIS CEDEX 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.lamsade.dauphine.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300302" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation name="UMR7243 / FRE3234 / UMR7024" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-552996" status="VALID">
          <orgName>Machine Intelligence and Learning Systems</orgName>
          <orgName type="acronym">MILES</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.lamsade.dauphine.fr/miles/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-989" type="direct"/>
            <relation active="#struct-300302" type="indirect"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation name="UMR7243 / FRE3234 / UMR7024" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300302" status="VALID">
          <idno type="IdRef">027787109</idno>
          <idno type="ISNI">0000000120977052</idno>
          <idno type="ROR">https://ror.org/052bz7812</idno>
          <idno type="Wikidata">Q1546437</idno>
          <orgName>Université Paris Dauphine-PSL</orgName>
          <desc>
            <address>
              <addrLine>Place du Maréchal de Lattre de Tassigny75775 PARIS Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://dauphine.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-564132" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-564132" status="VALID">
          <idno type="IdRef">241597595</idno>
          <idno type="ISNI">0000 0004 1784 3645</idno>
          <idno type="ROR">https://ror.org/013cjyk83</idno>
          <orgName>Université Paris Sciences et Lettres</orgName>
          <orgName type="acronym">PSL</orgName>
          <desc>
            <address>
              <addrLine>60 rue Mazarine 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.psl.eu/</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>