<?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-01411753</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="2026-05-26T00:39:32+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Progressive assimilation of multiscale observations</title>
            <author role="aut">
              <persName>
                <forename type="first">Vincent</forename>
                <surname>Chabot</surname>
              </persName>
              <email type="md5">073b2878a87a971ddbf3f6abad4d22e7</email>
              <email type="domain">meteo.fr</email>
              <idno type="idhal" notation="numeric">995594</idno>
              <idno type="halauthorid" notation="string">588097-995594</idno>
              <affiliation ref="#struct-1042505"/>
              <affiliation ref="#struct-1079823"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Arthur</forename>
                <surname>Vidard</surname>
              </persName>
              <email type="md5">a969209fe658373ce0e4195b87e33365</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">arthur-vidard</idno>
              <idno type="idhal" notation="numeric">6012</idno>
              <idno type="halauthorid" notation="string">5105-6012</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-4075-6668</idno>
              <idno type="IDREF">https://www.idref.fr/086763482</idno>
              <orgName ref="#struct-300009"/>
              <affiliation ref="#struct-1042505"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Maëlle</forename>
                <surname>Nodet</surname>
              </persName>
              <email type="md5">3af10d2c87f93c1bed3d881797fa88b2</email>
              <email type="domain">uvsq.fr</email>
              <idno type="idhal" notation="string">maelle-nodet</idno>
              <idno type="idhal" notation="numeric">2149</idno>
              <idno type="halauthorid" notation="string">22521-2149</idno>
              <idno type="IDREF">https://www.idref.fr/103572643</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1921-4178</idno>
              <affiliation ref="#struct-1042505"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Arthur</forename>
                <surname>Vidard</surname>
              </persName>
              <email type="md5">a969209fe658373ce0e4195b87e33365</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2016-12-07 16:31:51</date>
              <date type="whenModified">2025-09-27 18:32:05</date>
              <date type="whenReleased">2016-12-08 08:44:40</date>
              <date type="whenProduced">2016-12-07</date>
              <date type="whenEndEmbargoed">2016-12-07</date>
              <ref type="file" target="https://inria.hal.science/hal-01411753v1/document">
                <date notBefore="2016-12-07"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-01411753v1/file/obs_multiscale.pdf" id="file-1411753-1497411">
                <date notBefore="2016-12-07"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="120801">
                <persName>
                  <forename>Arthur</forename>
                  <surname>Vidard</surname>
                </persName>
                <email type="md5">a969209fe658373ce0e4195b87e33365</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01411753</idno>
            <idno type="halUri">https://inria.hal.science/hal-01411753</idno>
            <idno type="halBibtex">chabot:hal-01411753</idno>
            <idno type="halRefHtml">2016</idno>
            <idno type="halRef">2016</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1411753-1497411"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="METEO">Météo France</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="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_MAD" corresp="LJK">Département Modèles et Algorithmes Déterministes</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="LJK-MAD-AIRSEA" corresp="LJK_MAD">AIRSEA</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</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="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="INRIA-300009">Inria 300009</idno>
            <idno type="stamp" n="UGA-COMUE">Université Grenoble Alpes [2016-2019]</idno>
            <idno type="stamp" n="TEST-UGA">TEST-UGA</idno>
          </seriesStmt>
          <notesStmt/>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Progressive assimilation of multiscale observations</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Vincent</forename>
                    <surname>Chabot</surname>
                  </persName>
                  <email type="md5">073b2878a87a971ddbf3f6abad4d22e7</email>
                  <email type="domain">meteo.fr</email>
                  <idno type="idhal" notation="numeric">995594</idno>
                  <idno type="halauthorid" notation="string">588097-995594</idno>
                  <affiliation ref="#struct-1042505"/>
                  <affiliation ref="#struct-1079823"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Arthur</forename>
                    <surname>Vidard</surname>
                  </persName>
                  <email type="md5">a969209fe658373ce0e4195b87e33365</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">arthur-vidard</idno>
                  <idno type="idhal" notation="numeric">6012</idno>
                  <idno type="halauthorid" notation="string">5105-6012</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-4075-6668</idno>
                  <idno type="IDREF">https://www.idref.fr/086763482</idno>
                  <orgName ref="#struct-300009"/>
                  <affiliation ref="#struct-1042505"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Maëlle</forename>
                    <surname>Nodet</surname>
                  </persName>
                  <email type="md5">3af10d2c87f93c1bed3d881797fa88b2</email>
                  <email type="domain">uvsq.fr</email>
                  <idno type="idhal" notation="string">maelle-nodet</idno>
                  <idno type="idhal" notation="numeric">2149</idno>
                  <idno type="halauthorid" notation="string">22521-2149</idno>
                  <idno type="IDREF">https://www.idref.fr/103572643</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1921-4178</idno>
                  <affiliation ref="#struct-1042505"/>
                </author>
              </analytic>
              <monogr>
                <imprint/>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Data assimilation</term>
                <term xml:lang="en">Wavelet</term>
                <term xml:lang="en">multiscale analysis</term>
              </keywords>
              <classCode scheme="halDomain" n="math.math-oc">Mathematics [math]/Optimization and Control [math.OC]</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>The description of correlated observation error statistics is a challenge in data assimilation. Currently, the observation errors are assumed uncorrelated (the covariance matrix is diagonal) which is a severe approximation that leads to suboptimal results. It is possible to use multi-scale transformations to retain the diagonal matrix approximation while accounting for some correlation. However this approach can lead to some convergence problems due to scale interactions. In this paper we propose an online scale selection algorithm that improves the convergence properties in such case.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-1042505" status="OLD">
          <idno type="RNSR">201521159N</idno>
          <orgName>Mathematics and computing applied to oceanic and atmospheric flows</orgName>
          <orgName type="acronym">AIRSEA</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Centre de Recherche Inria 655, avenue de l'Europe 38334 Saint Ismier Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/airsea</ref>
          </desc>
          <listRelation>
            <relation active="#struct-2497" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-1042161" type="direct"/>
            <relation active="#struct-89889" type="indirect"/>
            <relation name="UMR5224" active="#struct-441569" type="indirect"/>
            <relation active="#struct-445543" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-1079823" status="VALID">
          <idno type="ROR">https://ror.org/0233st365</idno>
          <orgName>Météo-France</orgName>
          <date type="start">1993-01-01</date>
          <desc>
            <address>
              <addrLine>73 avenue de Paris94165 Saint-Mande Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.meteofrance.com/accueil</ref>
          </desc>
        </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="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="laboratory" xml:id="struct-1042161" status="OLD">
          <idno type="IdRef">184945011</idno>
          <idno type="ISNI">000000040383676X</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">2016-01-01</date>
          <date type="end">2019-12-31</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-89889" type="direct"/>
            <relation active="#struct-300009" type="direct"/>
            <relation name="UMR5224" active="#struct-441569" type="direct"/>
            <relation active="#struct-445543" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-89889" status="OLD">
          <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">2007-01-01</date>
          <date type="end">2019-12-31</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>
        </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-445543" status="OLD">
          <idno type="IdRef">188399275</idno>
          <idno type="ROR">https://ror.org/02rx3b187</idno>
          <orgName>Université Grenoble Alpes [2016-2019]</orgName>
          <orgName type="acronym">UGA [2016-2019]</orgName>
          <date type="start">2016-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>38058 Grenoble cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>