<?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-03370530</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="2026-05-17T12:23:00+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Mixability made efficient: Fast online multiclass logistic regression</title>
            <author role="aut">
              <persName>
                <forename type="first">Rémi</forename>
                <surname>Jézéquel</surname>
              </persName>
              <email type="md5">8191faa8455876d7c2f25a06c6abb355</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="numeric">1042767</idno>
              <idno type="halauthorid" notation="string">1523554-1042767</idno>
              <affiliation ref="#struct-454688"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Pierre</forename>
                <surname>Gaillard</surname>
              </persName>
              <email type="md5">a0942321dd1d6de461a9fc80de4875b0</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">pierre-gaillard</idno>
              <idno type="idhal" notation="numeric">13025</idno>
              <idno type="halauthorid" notation="string">21712-13025</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5665-7904</idno>
              <idno type="IDREF">https://www.idref.fr/19041992X</idno>
              <affiliation ref="#struct-1043084"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Alessandro</forename>
                <surname>Rudi</surname>
              </persName>
              <email type="md5">87ae1366e838e1c88fb63e634e972c9c</email>
              <email type="domain">gmail.com</email>
              <idno type="idhal" notation="string">alessandro-rudi</idno>
              <idno type="idhal" notation="numeric">21784</idno>
              <idno type="halauthorid" notation="string">38211-21784</idno>
              <idno type="ARXIV">https://arxiv.org/a/rudi_a_1</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/J-7323-2013</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3879-7794</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=EL-7KFsAAAAJ&amp;hl=en</idno>
              <idno type="IDREF">https://www.idref.fr/240218043</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/J-7323-2013</idno>
              <affiliation ref="#struct-454688"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Rémi</forename>
                <surname>Jézéquel</surname>
              </persName>
              <email type="md5">8191faa8455876d7c2f25a06c6abb355</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2021-10-08 09:37:35</date>
              <date type="whenModified">2025-10-27 11:00:01</date>
              <date type="whenReleased">2021-10-08 10:22:41</date>
              <date type="whenProduced">2021-12-06</date>
              <date type="whenEndEmbargoed">2021-10-08</date>
              <ref type="file" target="https://hal.science/hal-03370530v1/document">
                <date notBefore="2021-10-08"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-03370530v1/file/MulticlassLogistic.pdf" id="file-3370530-2958484">
                <date notBefore="2021-10-08"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2110.03960"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="700578">
                <persName>
                  <forename>Rémi</forename>
                  <surname>Jézéquel</surname>
                </persName>
                <email type="md5">8191faa8455876d7c2f25a06c6abb355</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-03370530</idno>
            <idno type="halUri">https://hal.science/hal-03370530</idno>
            <idno type="halBibtex">jezequel:hal-03370530</idno>
            <idno type="halRefHtml">&lt;i&gt;NeurIPS 2021. Thirty-fifth Conference on Neural Information Processing Systems&lt;/i&gt;, Dec 2021, Online, France. pp.23692-23702, &lt;a target="_blank" href="https://dx.doi.org/10.48550/arXiv.2110.03960"&gt;&amp;#x27E8;10.48550/arXiv.2110.03960&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">NeurIPS 2021. Thirty-fifth Conference on Neural Information Processing Systems, Dec 2021, Online, France. pp.23692-23702, &amp;#x27E8;10.48550/arXiv.2110.03960&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-3370530-2958484"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENS-PARIS">Ecole Normale Supérieure de Paris</idno>
            <idno type="stamp" n="UGA">HAL Grenoble Alpes</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="INPG">Institut polytechnique de Grenoble</idno>
            <idno type="stamp" n="INRIA-RHA">INRIA Grenoble - Rhône-Alpes</idno>
            <idno type="stamp" n="INRIA-ROCQ">INRIA Paris - Rocquencourt</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="LJK">Laboratoire Jean Kuntzmann</idno>
            <idno type="stamp" n="LJK_GI" corresp="LJK">Département Géométrie et Images</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="LJK-GI-THOTH" corresp="LJK_GI">Apprentissage de modèles visuels à partir de données massives</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="INRIA-PSL">INRIA-PSL</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="ENS-PSL" corresp="PSL">École normale supérieure - PSL</idno>
            <idno type="stamp" n="UGA-EPE">Université Grenoble Alpes [2020-*]</idno>
            <idno type="stamp" n="DIENS" corresp="ENS-PARIS">Département d'informatique de l'ENS-PSL</idno>
            <idno type="stamp" n="TEST-UGA">TEST-UGA</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">Mixability made efficient: Fast online multiclass logistic regression</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Rémi</forename>
                    <surname>Jézéquel</surname>
                  </persName>
                  <email type="md5">8191faa8455876d7c2f25a06c6abb355</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="numeric">1042767</idno>
                  <idno type="halauthorid" notation="string">1523554-1042767</idno>
                  <affiliation ref="#struct-454688"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Pierre</forename>
                    <surname>Gaillard</surname>
                  </persName>
                  <email type="md5">a0942321dd1d6de461a9fc80de4875b0</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">pierre-gaillard</idno>
                  <idno type="idhal" notation="numeric">13025</idno>
                  <idno type="halauthorid" notation="string">21712-13025</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5665-7904</idno>
                  <idno type="IDREF">https://www.idref.fr/19041992X</idno>
                  <affiliation ref="#struct-1043084"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Alessandro</forename>
                    <surname>Rudi</surname>
                  </persName>
                  <email type="md5">87ae1366e838e1c88fb63e634e972c9c</email>
                  <email type="domain">gmail.com</email>
                  <idno type="idhal" notation="string">alessandro-rudi</idno>
                  <idno type="idhal" notation="numeric">21784</idno>
                  <idno type="halauthorid" notation="string">38211-21784</idno>
                  <idno type="ARXIV">https://arxiv.org/a/rudi_a_1</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/J-7323-2013</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3879-7794</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=EL-7KFsAAAAJ&amp;hl=en</idno>
                  <idno type="IDREF">https://www.idref.fr/240218043</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/http://www.researcherid.com/rid/J-7323-2013</idno>
                  <affiliation ref="#struct-454688"/>
                </author>
              </analytic>
              <monogr>
                <title level="m">Advances in Neural Information Processing Systems</title>
                <meeting>
                  <title>NeurIPS 2021. Thirty-fifth Conference on Neural Information Processing Systems</title>
                  <date type="start">2021-12-06</date>
                  <settlement>Online</settlement>
                  <country key="FR">France</country>
                </meeting>
                <imprint>
                  <biblScope unit="volume">34</biblScope>
                  <biblScope unit="pp">23692-23702</biblScope>
                </imprint>
              </monogr>
              <idno type="arxiv">2110.03960</idno>
              <idno type="doi">10.48550/arXiv.2110.03960</idno>
              <ref type="publisher">https://proceedings.neurips.cc/paper/2021/hash/c74214a3877c4d8297ac96217d5189b7-Abstract.html</ref>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="stat.ml">Statistics [stat]/Machine Learning [stat.ML]</classCode>
              <classCode scheme="halDomain" n="info.info-lg">Computer Science [cs]/Machine Learning [cs.LG]</classCode>
              <classCode scheme="halDomain" n="math.math-st">Mathematics [math]/Statistics [math.ST]</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>Mixability has been shown to be a powerful tool to obtain algorithms with optimal regret. However, the resulting methods often suffer from high computational complexity which has reduced their practical applicability. For example, in the case of multiclass logistic regression, the aggregating forecaster (Foster et al. (2018)) achieves a regret of $O(\log(Bn))$ whereas Online Newton Step achieves $O(e^B\log(n))$ obtaining a double exponential gain in $B$ (a bound on the norm of comparative functions). However, this high statistical performance is at the price of a prohibitive computational complexity $O(n^{37})$.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-454688" status="VALID">
          <idno type="IdRef">24507595X</idno>
          <idno type="RNSR">201120973D</idno>
          <idno type="ROR">https://ror.org/0485z7y90</idno>
          <orgName>Statistical Machine Learning and Parsimony</orgName>
          <orgName type="acronym">SIERRA</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2028-12-31</date>
          <desc>
            <address>
              <addrLine>48 Rue Barrault, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/sierra</ref>
          </desc>
          <listRelation>
            <relation active="#struct-25027" type="direct"/>
            <relation active="#struct-59704" type="indirect"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation name="UMR8548" active="#struct-441569" type="direct"/>
            <relation active="#struct-441569" type="direct"/>
            <relation active="#struct-454310" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-1043084" status="VALID">
          <idno type="IdRef">242196691</idno>
          <idno type="RNSR">201622034K</idno>
          <idno type="ROR">https://ror.org/02a2awp29</idno>
          <orgName>Apprentissage de modèles à partir de données massives</orgName>
          <orgName type="acronym">Thoth</orgName>
          <date type="start">2020-01-01</date>
          <date type="end">2027-12-31</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/thoth</ref>
          </desc>
          <listRelation>
            <relation active="#struct-2497" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-1043077" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="indirect"/>
            <relation active="#struct-1042703" type="indirect"/>
            <relation active="#struct-1043329" type="indirect"/>
          </listRelation>
        </org>
        <org type="regrouplaboratory" xml:id="struct-25027" status="VALID">
          <idno type="IdRef">148034055</idno>
          <idno type="RNSR">199812876J</idno>
          <idno type="ROR">05y6rqs46</idno>
          <orgName>Département d'informatique - ENS-PSL</orgName>
          <orgName type="acronym">DI-ENS</orgName>
          <date type="start">1999-01-01</date>
          <desc>
            <address>
              <addrLine>École normale supérieure 45 rue d'Ulm F-75230 Paris Cedex 05</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.di.ens.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-59704" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
            <relation active="#struct-300009" type="direct"/>
            <relation name="UMR8548" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-59704" status="VALID">
          <idno type="IdRef">031738419</idno>
          <idno type="ISNI">0000000123532622</idno>
          <idno type="ROR">https://ror.org/05a0dhs15</idno>
          <orgName>École normale supérieure - Paris</orgName>
          <orgName type="acronym">ENS-PSL</orgName>
          <date type="start">1985-07-24</date>
          <desc>
            <address>
              <addrLine>45, Rue d'Ulm - 75230 Paris cedex 05</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ens.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="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>
        <org type="laboratory" xml:id="struct-454310" status="VALID">
          <idno type="IdRef">241614864</idno>
          <idno type="RNSR">196718247G</idno>
          <idno type="ROR">https://ror.org/05eyd5d35</idno>
          <orgName>Centre Inria de Paris</orgName>
          <date type="start">2016-03-10</date>
          <desc>
            <address>
              <addrLine>48 Rue Barrault, 75013 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/paris</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-2497" status="VALID">
          <idno type="RNSR">199218244V</idno>
          <idno type="ROR">https://ror.org/00n8d6z93</idno>
          <orgName>Centre Inria de l'Université Grenoble Alpes</orgName>
          <desc>
            <address>
              <addrLine>Inovallée655 avenue de l'Europe38330 Montbonnot</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/grenoble</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1043077" status="VALID">
          <idno type="IdRef">184945011</idno>
          <idno type="ISNI">0000 0004 0383 676X</idno>
          <idno type="RNSR">200711891Z</idno>
          <idno type="ROR">https://ror.org/04ett5b41</idno>
          <orgName>Laboratoire Jean Kuntzmann</orgName>
          <orgName type="acronym">LJK</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>Bâtiment IMAG, CS 40700, F-38058 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://ljk.imag.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="direct"/>
            <relation active="#struct-1042703" type="direct"/>
            <relation active="#struct-1043329" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-1042703" status="VALID">
          <idno type="IdRef">240648315</idno>
          <idno type="ROR">https://ror.org/02rx3b187</idno>
          <orgName>Université Grenoble Alpes</orgName>
          <orgName type="acronym">UGA</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>Adresse CS 40700 - 38058 Grenoble cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-grenoble-alpes.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-1043329" status="VALID">
          <idno type="IdRef">026388804</idno>
          <idno type="ROR">https://ror.org/05sbt2524</idno>
          <orgName>Institut polytechnique de Grenoble - Grenoble Institute of Technology</orgName>
          <orgName type="acronym">Grenoble INP</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>46 avenue Félix Viallet 38031 Grenoble Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.grenoble-inp.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1042703" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>