<?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-00141921</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="2026-05-23T11:52:40+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Nonparametric Estimation for some Specific Classes of Hidden Markov Models.</title>
            <author role="aut">
              <persName>
                <forename type="first">Stéphan</forename>
                <surname>Clémençon</surname>
              </persName>
              <email type="md5">80db647a32327347f18cf1ed7d22eb1f</email>
              <email type="domain">telecom-paris.fr</email>
              <idno type="idhal" notation="string">stephan-clemencon</idno>
              <idno type="idhal" notation="numeric">174491</idno>
              <idno type="halauthorid" notation="string">44126-174491</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5879-9500</idno>
              <idno type="IDREF">https://www.idref.fr/08905203X</idno>
              <affiliation ref="#struct-101"/>
              <affiliation ref="#struct-102"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Stephan</forename>
                <surname>Clémençon</surname>
              </persName>
              <email type="md5">80db647a32327347f18cf1ed7d22eb1f</email>
              <email type="domain">telecom-paris.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2007-04-16 17:29:25</date>
              <date type="whenModified">2025-09-29 13:19:11</date>
              <date type="whenReleased">2007-04-16 17:34:54</date>
              <date type="whenProduced">2007-04-16</date>
              <date type="whenEndEmbargoed">2007-04-16</date>
              <ref type="file" target="https://hal.science/hal-00141921v1/document">
                <date notBefore="2007-04-16"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00141921v1/file/Hidden.pdf" id="file-141921-355418">
                <date notBefore="2007-04-16"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="114070">
                <persName>
                  <forename>Stephan</forename>
                  <surname>Clémençon</surname>
                </persName>
                <email type="md5">80db647a32327347f18cf1ed7d22eb1f</email>
                <email type="domain">telecom-paris.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00141921</idno>
            <idno type="halUri">https://hal.science/hal-00141921</idno>
            <idno type="halBibtex">clemencon:hal-00141921</idno>
            <idno type="halRefHtml">2007</idno>
            <idno type="halRef">2007</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-141921-355418"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-PARIS7" corresp="UNIV-PARIS">Université Denis Diderot - Paris VII</idno>
            <idno type="stamp" n="UPMC" corresp="SORBONNE-UNIVERSITE">Université Pierre et Marie Curie</idno>
            <idno type="stamp" n="PMA" corresp="SORBONNE-UNIVERSITE">Laboratoire de Probabilités et Modèles Aléatoires</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-PARIS10" corresp="UNIV-PARIS-LUMIERES">Université Paris Nanterre</idno>
            <idno type="stamp" n="UPN">Collection supérieure de l'université Paris Nanterre</idno>
            <idno type="stamp" n="MODALX" corresp="UNIV-PARIS10">MODAL'X - UMR 9023 - Modélisation aléatoire de Paris Nanterre</idno>
            <idno type="stamp" n="UPMC_POLE_1" corresp="UPMC">UPMC Pôle 1</idno>
            <idno type="stamp" n="LPSM" corresp="SORBONNE-UNIVERSITE">Laboratoire de Probabilités, Statistique et Modélisation</idno>
            <idno type="stamp" n="SORBONNE-UNIVERSITE">Sorbonne Université</idno>
            <idno type="stamp" n="SU-SCIENCES" corresp="SORBONNE-UNIVERSITE">Faculté des Sciences de Sorbonne Université</idno>
            <idno type="stamp" n="UNIV-PARIS-LUMIERES"/>
            <idno type="stamp" n="UNIV-PARIS">Université Paris Cité</idno>
            <idno type="stamp" n="SU-TI">Sorbonne Université - Texte Intégral</idno>
            <idno type="stamp" n="UNIV-PARIS-NANTERRE" corresp="UNIV-PARIS-LUMIERES">Université Paris Nanterre</idno>
            <idno type="stamp" n="ALLIANCE-SU"> Alliance Sorbonne Université</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="1">Not set</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Nonparametric Estimation for some Specific Classes of Hidden Markov Models.</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Stéphan</forename>
                    <surname>Clémençon</surname>
                  </persName>
                  <email type="md5">80db647a32327347f18cf1ed7d22eb1f</email>
                  <email type="domain">telecom-paris.fr</email>
                  <idno type="idhal" notation="string">stephan-clemencon</idno>
                  <idno type="idhal" notation="numeric">174491</idno>
                  <idno type="halauthorid" notation="string">44126-174491</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5879-9500</idno>
                  <idno type="IDREF">https://www.idref.fr/08905203X</idno>
                  <affiliation ref="#struct-101"/>
                  <affiliation ref="#struct-102"/>
                </author>
              </analytic>
              <monogr>
                <imprint/>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="fr">Wavelet-vaguelette decomposition</term>
                <term xml:lang="fr">noisy Markov models</term>
                <term xml:lang="fr">deconvolution</term>
              </keywords>
              <classCode scheme="halDomain" n="math.math-st">Mathematics [math]/Statistics [math.ST]</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>We study the problem of nonparametric estimation of the stationary and transition densities of a regular Markov chain based on noisy observations when the density of the noise's terms k(x) has a Fourier transform with decay of order |w|−α as w → ∞. Adopting the formalism of the wavelet-vaguelette decomposition (WVD), we propose estimation procedures based on thresholding of the WVD coeﬃcients which are shown to be nearly optimal over a wide range of Besov classes for the variety of global Lp0 error measures, 1 6 p0 &lt; ∞.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-101" status="VALID">
          <idno type="IdRef">197370497</idno>
          <idno type="RNSR">200114730L</idno>
          <idno type="ROR">https://ror.org/00cjjmc56</idno>
          <orgName>Modélisation aléatoire de Paris X</orgName>
          <orgName type="acronym">MODAL'X</orgName>
          <date type="start">2001-01-01</date>
          <desc>
            <address>
              <addrLine>Université Paris NanterreModal'X, Bâtiment G200 avenue de la république,92000 NANTERRE</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://modalx.parisnanterre.fr/</ref>
          </desc>
          <listRelation>
            <relation name="EA3454" active="#struct-116205" type="direct"/>
            <relation name="UMR9023" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-102" status="OLD">
          <idno type="RNSR">199712645M</idno>
          <orgName>Laboratoire de Probabilités et Modèles Aléatoires</orgName>
          <orgName type="acronym">LPMA</orgName>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.proba.jussieu.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-93591" type="direct"/>
            <relation active="#struct-300301" type="direct"/>
            <relation name="UMR7599" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-116205" status="VALID">
          <idno type="IdRef">026403587</idno>
          <idno type="ROR">https://ror.org/013bkhk48</idno>
          <orgName>Université Paris Nanterre</orgName>
          <orgName type="acronym">UPN</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>200 avenue de la République - 92001 Nanterre cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.parisnanterre.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-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-300301" status="OLD">
          <idno type="IdRef">027542084</idno>
          <idno type="ISNI">0000000121514068</idno>
          <idno type="ROR">https://ror.org/02n7qrg46</idno>
          <orgName>Université Paris Diderot - Paris 7</orgName>
          <orgName type="acronym">UPD7</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>5 rue Thomas-Mann - 75205 Paris cedex 13</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-paris-diderot.fr</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>