<?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-04247204</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="2026-05-23T20:09:12+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Local Lipschitz Constant Computation of ReLU-FNNs: Upper Bound Computation with Exactness Verification</title>
            <author role="aut">
              <persName>
                <forename type="first">Yoshio</forename>
                <surname>Ebihara</surname>
              </persName>
              <idno type="halauthorid">1162614-0</idno>
              <affiliation ref="#struct-21443"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Xin</forename>
                <surname>Dai</surname>
              </persName>
              <idno type="halauthorid">2318333-0</idno>
              <affiliation ref="#struct-21443"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Victor</forename>
                <surname>Magron</surname>
              </persName>
              <email type="md5">e6a7b2d612c489f5e1b7c534a60cc52f</email>
              <email type="domain">laas.fr</email>
              <idno type="idhal" notation="string">victor-magron</idno>
              <idno type="idhal" notation="numeric">171112</idno>
              <idno type="halauthorid" notation="string">20340-171112</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-1147-3738</idno>
              <idno type="IDREF">https://www.idref.fr/176992316</idno>
              <affiliation ref="#struct-1099620"/>
              <affiliation ref="#struct-1954"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Dimitri</forename>
                <surname>Peaucelle</surname>
              </persName>
              <email type="md5">12b5a06067a06b9d5f7b234c8e8be2bf</email>
              <email type="domain">laas.fr</email>
              <idno type="idhal" notation="string">dimitri-peaucelle</idno>
              <idno type="idhal" notation="numeric">2075</idno>
              <idno type="halauthorid" notation="string">7423-2075</idno>
              <idno type="IDREF">https://www.idref.fr/115018409</idno>
              <affiliation ref="#struct-388529"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Sophie</forename>
                <surname>Tarbouriech</surname>
              </persName>
              <email type="md5">2f59e84635170e1b6417360ad0be5eaf</email>
              <email type="domain">laas.fr</email>
              <idno type="idhal" notation="string">sophie-tarbouriech</idno>
              <idno type="idhal" notation="numeric">14668</idno>
              <idno type="halauthorid" notation="string">31984-14668</idno>
              <idno type="IDREF">https://www.idref.fr/074580671</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0816-5614</idno>
              <affiliation ref="#struct-388529"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Victor</forename>
                <surname>Magron</surname>
              </persName>
              <email type="md5">e6a7b2d612c489f5e1b7c534a60cc52f</email>
              <email type="domain">laas.fr</email>
            </editor>
            <funder ref="#projanr-50372"/>
            <funder ref="#projanr-143950"/>
            <funder ref="#projanr-49786"/>
            <funder ref="#projeurop-746538"/>
            <funder>This work was supported by JSPS KAKENHI Grant Number JP21H01354 as well as by the National Research Foundation, Prime Minister’s Office, Singapore under its Campus for Research Excellence and Technological Enterprise (CREATE) programme.</funder>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2023-10-18 09:26:33</date>
              <date type="whenWritten">2023-10-18</date>
              <date type="whenModified">2025-11-21 08:46:08</date>
              <date type="whenReleased">2023-10-18 09:26:33</date>
              <date type="whenProduced">2024-06-25</date>
              <ref type="externalLink" target="http://arxiv.org/pdf/2310.11104"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="189461">
                <persName>
                  <forename>Victor</forename>
                  <surname>Magron</surname>
                </persName>
                <email type="md5">e6a7b2d612c489f5e1b7c534a60cc52f</email>
                <email type="domain">laas.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04247204</idno>
            <idno type="halUri">https://laas.hal.science/hal-04247204</idno>
            <idno type="halBibtex">ebihara:hal-04247204</idno>
            <idno type="halRefHtml">&lt;i&gt;European Control Conference (ECC 2024)&lt;/i&gt;, Jun 2024, Stockholm, Sweden. &lt;a target="_blank" href="https://dx.doi.org/10.23919/ECC64448.2024.10590974"&gt;&amp;#x27E8;10.23919/ECC64448.2024.10590974&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">European Control Conference (ECC 2024), Jun 2024, Stockholm, Sweden. &amp;#x27E8;10.23919/ECC64448.2024.10590974&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TLSE2">Université Toulouse 2</idno>
            <idno type="stamp" n="UNIV-TLSE3">Université de Toulouse</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INSA-TOULOUSE">Institut National des Sciences Appliquées de Toulouse</idno>
            <idno type="stamp" n="LAAS">Laboratoire d'analyse et d'architecture des systèmes</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="OPENAIRE">OpenAIRE</idno>
            <idno type="stamp" n="IMT">Institut de Mathématiques de Toulouse</idno>
            <idno type="stamp" n="LAAS-MAC" corresp="LAAS-DECISION-ET-OPTIMISATION">Équipe Méthodes et Algorithmes en Commande</idno>
            <idno type="stamp" n="UT1-CAPITOLE">Université Toulouse 1 Capitole</idno>
            <idno type="stamp" n="LAAS-DECISION-ET-OPTIMISATION" corresp="LAAS">LAAS-Décision et Optimisation</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="PNRIA">Programme National de Recherche en IA</idno>
            <idno type="stamp" n="ANR">ANR</idno>
            <idno type="stamp" n="ANITI">ANITI - Artificial and Natural Intelligence Toulouse Institute</idno>
            <idno type="stamp" n="CIMI-TOULOUSE">Centre International de Mathématiques et d'Informatique de Toulouse</idno>
            <idno type="stamp" n="TOULOUSE-INP">Toulouse - INP</idno>
            <idno type="stamp" n="UNIV-UT3">Université Toulouse 3</idno>
            <idno type="stamp" n="UT3-INP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="LAAS-POP" corresp="LAAS-DECISION-ET-OPTIMISATION">Polynomial OPtimization</idno>
            <idno type="stamp" n="UT3-TOULOUSEINP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="TEST7-HALCNRS">test 7 du portail hal cnrs</idno>
            <idno type="stamp" n="ANR-IA-19" corresp="ANR-IA">ANR-IA-19</idno>
            <idno type="stamp" n="ANR-IA">ANR-IA</idno>
            <idno type="stamp" n="ANR_QUANTIQUE">ANR QUANTIQUE</idno>
            <idno type="stamp" n="ANR_QUANTIQUE_4" corresp="ANR_QUANTIQUE">ANR_QUANTIQUE_4</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">8 pages, 3 figures</note>
            <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">Local Lipschitz Constant Computation of ReLU-FNNs: Upper Bound Computation with Exactness Verification</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Yoshio</forename>
                    <surname>Ebihara</surname>
                  </persName>
                  <idno type="halauthorid">1162614-0</idno>
                  <affiliation ref="#struct-21443"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Xin</forename>
                    <surname>Dai</surname>
                  </persName>
                  <idno type="halauthorid">2318333-0</idno>
                  <affiliation ref="#struct-21443"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Victor</forename>
                    <surname>Magron</surname>
                  </persName>
                  <email type="md5">e6a7b2d612c489f5e1b7c534a60cc52f</email>
                  <email type="domain">laas.fr</email>
                  <idno type="idhal" notation="string">victor-magron</idno>
                  <idno type="idhal" notation="numeric">171112</idno>
                  <idno type="halauthorid" notation="string">20340-171112</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-1147-3738</idno>
                  <idno type="IDREF">https://www.idref.fr/176992316</idno>
                  <affiliation ref="#struct-1099620"/>
                  <affiliation ref="#struct-1954"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Dimitri</forename>
                    <surname>Peaucelle</surname>
                  </persName>
                  <email type="md5">12b5a06067a06b9d5f7b234c8e8be2bf</email>
                  <email type="domain">laas.fr</email>
                  <idno type="idhal" notation="string">dimitri-peaucelle</idno>
                  <idno type="idhal" notation="numeric">2075</idno>
                  <idno type="halauthorid" notation="string">7423-2075</idno>
                  <idno type="IDREF">https://www.idref.fr/115018409</idno>
                  <affiliation ref="#struct-388529"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Sophie</forename>
                    <surname>Tarbouriech</surname>
                  </persName>
                  <email type="md5">2f59e84635170e1b6417360ad0be5eaf</email>
                  <email type="domain">laas.fr</email>
                  <idno type="idhal" notation="string">sophie-tarbouriech</idno>
                  <idno type="idhal" notation="numeric">14668</idno>
                  <idno type="halauthorid" notation="string">31984-14668</idno>
                  <idno type="IDREF">https://www.idref.fr/074580671</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0816-5614</idno>
                  <affiliation ref="#struct-388529"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">Rapport LAAS ° 23377</idno>
                <meeting>
                  <title>European Control Conference (ECC 2024)</title>
                  <date type="start">2024-06-25</date>
                  <date type="end">2024-06-28</date>
                  <settlement>Stockholm</settlement>
                  <country key="SE">Sweden</country>
                </meeting>
                <imprint>
                  <date type="datePub">2024-06</date>
                </imprint>
              </monogr>
              <idno type="arxiv">2310.11104</idno>
              <idno type="doi">10.23919/ECC64448.2024.10590974</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Fuzzy control</term>
                <term xml:lang="en">Upper bound</term>
                <term xml:lang="en">Semidefinite programming</term>
                <term xml:lang="en">Europe</term>
                <term xml:lang="en">Reduced order systems</term>
                <term xml:lang="en">Feedforward neural networks</term>
                <term xml:lang="en">Reliability</term>
              </keywords>
              <classCode scheme="halDomain" n="math.math-oc">Mathematics [math]/Optimization and Control [math.OC]</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>This paper is concerned with the computation of the local Lipschitz constant of feedforward neural networks (FNNs) with activation functions being rectified linear units (ReLUs). The local Lipschitz constant of an FNN for a target input is a reasonable measure for its quantitative evaluation of the reliability. By following a standard procedure using multipliers that capture the behavior of ReLUs,we first reduce the upper bound computation problem of the local Lipschitz constant into a semidefinite programming problem (SDP). Here we newly introduce copositive multipliers to capture the ReLU behavior accurately. Then, by considering the dual of the SDP for the upper bound computation, we second derive a viable test to conclude the exactness of the computed upper bound. However, these SDPs are intractable for practical FNNs with hundreds of ReLUs. To address this issue, we further propose a method to construct a reduced order model whose input-output property is identical to the original FNN over a neighborhood of the target input. We finally illustrate the effectiveness of the model reduction and exactness verification methods with numerical examples of practical FNNs.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-21443" status="VALID">
          <idno type="ROR">https://ror.org/00p4k0j84</idno>
          <orgName>Kyushu University</orgName>
          <desc>
            <address>
              <addrLine>744 Motooka Nishi-kuFukuoka 819-0395</addrLine>
              <country key="JP"/>
            </address>
            <ref type="url">https://www.kyushu-u.ac.jp/en/</ref>
          </desc>
        </org>
        <org type="researchteam" xml:id="struct-1099620" status="OLD">
          <orgName>Equipe Polynomial OPtimization</orgName>
          <orgName type="acronym">LAAS-POP</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://hal.laas.fr/LAAS-POP/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-459" type="direct"/>
            <relation active="#struct-81148" type="indirect"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="indirect"/>
            <relation active="#struct-217752" type="indirect"/>
            <relation name="UPR8001" active="#struct-441569" type="indirect"/>
            <relation active="#struct-448187" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1954" status="OLD">
          <idno type="IdRef">166783900</idno>
          <idno type="ISNI">0000000403836348</idno>
          <idno type="RNSR">200711888W</idno>
          <idno type="ROR">https://ror.org/014vp6c30</idno>
          <orgName>Institut de Mathématiques de Toulouse UMR5219</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>UPS IMT, F-31062 Toulouse Cedex 9, INSA Toulouse, F-31077 Toulouse,France UT1, F-31042 Toulouse, France UT2, F-31058 Toulouse,Téléphone : 05.61.55.67.90</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.math.univ-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-81148" type="direct"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="direct"/>
            <relation active="#struct-217752" type="direct"/>
            <relation name="UMR5219" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-388529" status="OLD">
          <orgName>Équipe Méthodes et Algorithmes en Commande</orgName>
          <orgName type="acronym">LAAS-MAC</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.laas.fr/public/fr/mac</ref>
          </desc>
          <listRelation>
            <relation active="#struct-459" type="direct"/>
            <relation active="#struct-81148" type="indirect"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="indirect"/>
            <relation active="#struct-217752" type="indirect"/>
            <relation name="UPR8001" active="#struct-441569" type="indirect"/>
            <relation active="#struct-448187" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-459" status="OLD">
          <idno type="IdRef">199278792</idno>
          <idno type="ISNI">0000 0001 2188 216X </idno>
          <idno type="RNSR">199517454Y</idno>
          <idno type="ROR">https://ror.org/03vcm6439</idno>
          <orgName>Laboratoire d'analyse et d'architecture des systèmes</orgName>
          <orgName type="acronym">LAAS</orgName>
          <date type="start">1968-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>7 Av du colonel Roche 31077 TOULOUSE CEDEX 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.laas.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-81148" type="direct"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="direct"/>
            <relation active="#struct-217752" type="direct"/>
            <relation name="UPR8001" active="#struct-441569" type="direct"/>
            <relation active="#struct-448187" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-81148" status="VALID">
          <idno type="IdRef">026404354</idno>
          <idno type="ISNI">0000000121902837</idno>
          <idno type="ROR">https://ror.org/0443n9e75</idno>
          <orgName>Université Toulouse Capitole</orgName>
          <orgName type="acronym">UT Capitole</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>2 rue du Doyen-Gabriel-Marty - 31042 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ut-capitole.fr/</ref>
          </desc>
          <listRelation>
            <relation name="443875" active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-443875" status="VALID">
          <idno type="ROR">https://ror.org/017tgbk05</idno>
          <orgName>Communauté d'universités et établissements de Toulouse</orgName>
          <orgName type="acronym">Comue de Toulouse</orgName>
          <desc>
            <address>
              <addrLine>41 Allée Jules Guesde, 31000 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-toulouse.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116255" status="VALID">
          <idno type="IdRef">026388766</idno>
          <idno type="ISNI">0000 0001 2286 8343</idno>
          <idno type="ROR">https://ror.org/01h8pf755</idno>
          <idno type="Wikidata">Q858979</idno>
          <orgName>Institut National des Sciences Appliquées - Toulouse</orgName>
          <orgName type="acronym">INSA Toulouse</orgName>
          <date type="start">1963-10-21</date>
          <desc>
            <address>
              <addrLine>135, avenue de Rangueil - 31077 Toulouse cedex 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-toulouse.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116256" status="VALID">
          <idno type="IdRef">026403994</idno>
          <idno type="ROR">https://ror.org/04ezk3x31</idno>
          <orgName>Université Toulouse - Jean Jaurès</orgName>
          <orgName type="acronym">UT2J</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>5 allées Antonio Machado - 31058 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse2.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-217752" status="OLD">
          <idno type="IdRef">026404672</idno>
          <idno type="ISNI">0000000121617331</idno>
          <idno type="ROR">https://ror.org/02v6kpv12</idno>
          <idno type="Wikidata">Q1273188</idno>
          <orgName>Université Toulouse III - Paul Sabatier</orgName>
          <orgName type="acronym">UT3</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse3.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </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="institution" xml:id="struct-448187" status="VALID">
          <idno type="IdRef">026388820</idno>
          <idno type="ISNI">0000000121766169</idno>
          <idno type="ROR">https://ror.org/033p9g875</idno>
          <orgName>Institut National Polytechnique (Toulouse)</orgName>
          <orgName type="acronym">Toulouse INP</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.inp-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-50372" status="VALID">
          <idno type="anr">ANR-19-P3IA-0004</idno>
          <orgName>ANITI</orgName>
          <desc>Artificial and Natural Intelligence Toulouse Institute</desc>
          <date type="start">2019</date>
        </org>
        <org type="anrProject" xml:id="projanr-143950" status="VALID">
          <idno type="anr">ANR-24-QUA2-0005</idno>
          <orgName>COMPUTE</orgName>
          <desc>Optimisation polynomial non commutative pour les réseaux quantiques</desc>
          <date type="start">2024</date>
        </org>
        <org type="anrProject" xml:id="projanr-49786" status="VALID">
          <idno type="anr">ANR-11-LABX-0040</idno>
          <orgName>CIMI</orgName>
          <desc>Centre International de Mathématiques et d'Informatique (de Toulouse)</desc>
          <date type="start">2011</date>
        </org>
        <org type="europeanProject" xml:id="projeurop-746538" status="VALID">
          <idno type="number">101120296</idno>
          <idno type="program">HORIZON-MSCA-2022-DN-01</idno>
          <idno type="call">HORIZON-MSCA-2022-DN-01</idno>
          <orgName>TENORS</orgName>
          <desc>Tensor modEliNg, geOmetRy and optimiSation</desc>
          <date type="start">2024-01-01</date>
          <date type="end">2027-12-31</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>