<?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 inria-00544149</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="2026-05-10T22:09:43+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Complex NMF under spectrogram consistency constraints</title>
            <author role="aut">
              <persName>
                <forename type="first">Jonathan</forename>
                <surname>Le Roux</surname>
              </persName>
              <idno type="halauthorid">514181-0</idno>
              <affiliation ref="#struct-134998"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Hirokazu</forename>
                <surname>Kameoka</surname>
              </persName>
              <idno type="halauthorid">514183-0</idno>
              <affiliation ref="#struct-134998"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Emmanuel</forename>
                <surname>Vincent</surname>
              </persName>
              <email type="md5">06c8a35e507be1d816f58461ca2239ea</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">emmanuelv</idno>
              <idno type="idhal" notation="numeric">1256</idno>
              <idno type="halauthorid" notation="string">4290-1256</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0183-7289</idno>
              <idno type="IDREF">https://www.idref.fr/089360176</idno>
              <orgName ref="#struct-300009"/>
              <affiliation ref="#struct-2522"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Nobutaka</forename>
                <surname>Ono</surname>
              </persName>
              <idno type="halauthorid">512896-0</idno>
              <affiliation ref="#struct-304304"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Kunio</forename>
                <surname>Kashino</surname>
              </persName>
              <idno type="halauthorid">514192-0</idno>
              <affiliation ref="#struct-134998"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Shigeki</forename>
                <surname>Sagayama</surname>
              </persName>
              <idno type="halauthorid">171706-0</idno>
              <affiliation ref="#struct-304304"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Emmanuel</forename>
                <surname>Vincent</surname>
              </persName>
              <email type="md5">06c8a35e507be1d816f58461ca2239ea</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2010-12-07 13:53:34</date>
              <date type="whenModified">2026-02-07 05:08:44</date>
              <date type="whenReleased">2010-12-09 11:27:37</date>
              <date type="whenProduced">2009-09</date>
              <date type="whenEndEmbargoed">2010-12-07</date>
              <ref type="file" target="https://inria.hal.science/inria-00544149v1/document">
                <date notBefore="2010-12-07"/>
              </ref>
              <ref type="file" subtype="greenPublisher" n="1" target="https://inria.hal.science/inria-00544149v1/file/leroux_ASJ09.pdf" id="file-544149-468354">
                <date notBefore="2010-12-07"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="150572">
                <persName>
                  <forename>Emmanuel</forename>
                  <surname>Vincent</surname>
                </persName>
                <email type="md5">06c8a35e507be1d816f58461ca2239ea</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">inria-00544149</idno>
            <idno type="halUri">https://inria.hal.science/inria-00544149</idno>
            <idno type="halBibtex">leroux:inria-00544149</idno>
            <idno type="halRefHtml">&lt;i&gt;ASJ Autumn Meeting&lt;/i&gt;, Sep 2009, Koriyama, Japan</idno>
            <idno type="halRef">ASJ Autumn Meeting, Sep 2009, Koriyama, Japan</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-544149-468354"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="EC-PARIS">Ecole Centrale Paris</idno>
            <idno type="stamp" n="UNIV-RENNES1">Université de Rennes 1</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="INSA-RENNES">Institut National des Sciences Appliquées de Rennes</idno>
            <idno type="stamp" n="INRIA-RENNES">INRIA Rennes - Bretagne Atlantique</idno>
            <idno type="stamp" n="IRISA">Irisa</idno>
            <idno type="stamp" n="IRISA_SET">IRISA_SET</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="IRISA-D5">SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="UR1-HAL">Publications labos UR1 dans HAL-Rennes 1</idno>
            <idno type="stamp" n="UR1-MATH-STIC">UR1 - publications Maths-STIC</idno>
            <idno type="stamp" n="UR1-UFR-ISTIC">UFR ISTIC Informatique et électronique</idno>
            <idno type="stamp" n="TEST-UNIV-RENNES">TEST Université de Rennes</idno>
            <idno type="stamp" n="TEST-UR-CSS">TEST Université de Rennes CSS</idno>
            <idno type="stamp" n="UNIV-RENNES">Université de Rennes</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="INRIA-300009">Inria 300009</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="UR1-MATH-NUM">Pôle UnivRennes - Mathématiques - Numérique </idno>
            <idno type="stamp" n="INRIA-JAPON">Co-publications INRIA Japon</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="3">National</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">Complex NMF under spectrogram consistency constraints</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Jonathan</forename>
                    <surname>Le Roux</surname>
                  </persName>
                  <idno type="halauthorid">514181-0</idno>
                  <affiliation ref="#struct-134998"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Hirokazu</forename>
                    <surname>Kameoka</surname>
                  </persName>
                  <idno type="halauthorid">514183-0</idno>
                  <affiliation ref="#struct-134998"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Emmanuel</forename>
                    <surname>Vincent</surname>
                  </persName>
                  <email type="md5">06c8a35e507be1d816f58461ca2239ea</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">emmanuelv</idno>
                  <idno type="idhal" notation="numeric">1256</idno>
                  <idno type="halauthorid" notation="string">4290-1256</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0183-7289</idno>
                  <idno type="IDREF">https://www.idref.fr/089360176</idno>
                  <orgName ref="#struct-300009"/>
                  <affiliation ref="#struct-2522"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Nobutaka</forename>
                    <surname>Ono</surname>
                  </persName>
                  <idno type="halauthorid">512896-0</idno>
                  <affiliation ref="#struct-304304"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Kunio</forename>
                    <surname>Kashino</surname>
                  </persName>
                  <idno type="halauthorid">514192-0</idno>
                  <affiliation ref="#struct-134998"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Shigeki</forename>
                    <surname>Sagayama</surname>
                  </persName>
                  <idno type="halauthorid">171706-0</idno>
                  <affiliation ref="#struct-304304"/>
                </author>
              </analytic>
              <monogr>
                <meeting>
                  <title>ASJ Autumn Meeting</title>
                  <date type="start">2009-09</date>
                  <settlement>Koriyama</settlement>
                  <country key="JP">Japan</country>
                </meeting>
                <imprint>
                  <date type="datePub">2009</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="info.info-ts">Computer Science [cs]/Signal and Image Processing</classCode>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</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>Many audio signal processing algorithms rely on the estimation of magnitude or complex short-time Fourier transform (STFT) spectrograms, but usually do not take into account the necessity for the estimated spectrograms to be consistent, i.e., to correspond to the STFT of a real-valued time-domain signal. Consistency constraints were introduced in [1] and applied there to phase reconstruction from magnitude spectrograms. In this paper, we show how to use them to introduce penalty functions on the consistency of STFT spectrograms into the recently introduced complex non-negative matrix factorization (NMF) framework [2], which estimates recurring patterns in the observed magnitude spectra, their activations and their phases. We derive analytical update equations through an auxiliary function approach, and present preliminary results on a supervised monaural source separation task.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-134998" status="VALID">
          <orgName>NTT Communication Science Laboratories</orgName>
          <desc>
            <address>
              <addrLine>2-4 Hikaridai Seika-cho Soraku-gun, Kyoto, 619-0237, Japan</addrLine>
              <country key="JP"/>
            </address>
            <ref type="url">http://www.kecl.ntt.co.jp/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301586" type="direct"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-2522" status="OLD">
          <idno type="RNSR">200118344P</idno>
          <orgName>Speech and sound data modeling and processing</orgName>
          <orgName type="acronym">METISS</orgName>
          <date type="start">2001-11-01</date>
          <date type="end">2012-12-31</date>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu 35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/metiss</ref>
          </desc>
          <listRelation>
            <relation active="#struct-2494" type="direct"/>
            <relation active="#struct-105160" type="indirect"/>
            <relation active="#struct-117606" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation name="ESA6074 / URA227" active="#struct-441569" type="indirect"/>
            <relation active="#struct-419153" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-304304" status="VALID">
          <idno type="IdRef">029909848</idno>
          <idno type="ROR">https://ror.org/057zh3y96</idno>
          <orgName>The University of Tokyo</orgName>
          <orgName type="acronym">UTokyo</orgName>
          <desc>
            <address>
              <addrLine>7 Chome-3-1 Hongo, Bunkyo, Tokyo 113-8654</addrLine>
              <country key="JP"/>
            </address>
            <ref type="url">https://www.u-tokyo.ac.jp/en/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301586" status="VALID">
          <orgName>NTT Corporation</orgName>
          <desc>
            <address>
              <country key="JP"/>
            </address>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-2494" status="OLD">
          <orgName>Institut de Recherche en Informatique et Systèmes Aléatoires</orgName>
          <orgName type="acronym">IRISA</orgName>
          <date type="start">1980-01-01</date>
          <date type="end">1999-12-31</date>
          <desc>
            <address>
              <addrLine>Campus universitaire de Beaulieu - 35042 Rennes</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.irisa.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-105160" type="direct"/>
            <relation active="#struct-117606" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-300009" type="direct"/>
            <relation name="ESA6074 / URA227" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-105160" status="VALID">
          <idno type="IdRef">26693823X</idno>
          <idno type="ROR">https://ror.org/015m7wh34</idno>
          <orgName>Université de Rennes</orgName>
          <orgName type="acronym">UR</orgName>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu, 263 avenue Général Leclerc, CS 74205, 35042 RENNES CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-rennes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-117606" status="VALID">
          <idno type="ROR">https://ror.org/04xaa4j22</idno>
          <orgName>Institut National des Sciences Appliquées - Rennes</orgName>
          <orgName type="acronym">INSA Rennes</orgName>
          <desc>
            <address>
              <addrLine>20, avenue des Buttes de Coësmes - CS 70839 - 35708 Rennes cedex 7</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-rennes.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" 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-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-419153" status="VALID">
          <idno type="RNSR">198018249C</idno>
          <idno type="ROR">https://ror.org/04040yw90</idno>
          <orgName>Centre Inria de l'Université de Rennes</orgName>
          <desc>
            <address>
              <addrLine>Campus de beaulieu35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/rennes</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>