Differential Fast Fixed-Point BSS for Underdetermined Linear Instantaneous Mixtures
Identifieur interne : 000140 ( Main/Exploration ); précédent : 000139; suivant : 000141Differential Fast Fixed-Point BSS for Underdetermined Linear Instantaneous Mixtures
Auteurs : Yannick Deville [France] ; Johanna Chappuis [France] ; Shahram Hosseini [France] ; Johan Thomas [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2006.
Abstract
Abstract: This paper concerns underdetermined linear instantaneous blind source separation (BSS), i.e. the case when the number P of observed mixed signals is lower than the number N of sources. We propose a partial BSS method, which separates P supposedly non-stationary sources of interest one from the others (while keeping residual components for the other N – P, supposedly stationary, “noise” sources). This method is based on the general differential BSS concept that we introduced before. Unlike our previous basic application of that concept, this improved method consists of a differential extension of the FastICA method (which does not apply to underdetermined mixtures), thus keeping the attractive features of the latter algorithm. Our approach is therefore based on a differential sphering, followed by the optimization of the differential kurtosis that we introduce in this paper. Experimental tests show that this differential method is much more robust to noise than standard FastICA.
Url:
DOI: 10.1007/11679363_7
Affiliations:
- France
- Midi-Pyrénées, Occitanie (région administrative)
- Toulouse
- Université Toulouse III - Paul Sabatier
Links toward previous steps (curation, corpus...)
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Differential Fast Fixed-Point BSS for Underdetermined Linear Instantaneous Mixtures</title><author><name sortKey="Deville, Yannick" sort="Deville, Yannick" uniqKey="Deville Y" first="Yannick" last="Deville">Yannick Deville</name></author><author><name sortKey="Chappuis, Johanna" sort="Chappuis, Johanna" uniqKey="Chappuis J" first="Johanna" last="Chappuis">Johanna Chappuis</name></author><author><name sortKey="Hosseini, Shahram" sort="Hosseini, Shahram" uniqKey="Hosseini S" first="Shahram" last="Hosseini">Shahram Hosseini</name></author><author><name sortKey="Thomas, Johan" sort="Thomas, Johan" uniqKey="Thomas J" first="Johan" last="Thomas">Johan Thomas</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:3CB0A9BF29FA1296C1D5332C734CA975D85DB7B6</idno><date when="2006" year="2006">2006</date><idno type="doi">10.1007/11679363_7</idno><idno type="url">https://api.istex.fr/document/3CB0A9BF29FA1296C1D5332C734CA975D85DB7B6/fulltext/pdf</idno><idno type="wicri:Area/Main/Corpus">000A66</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Corpus" wicri:corpus="ISTEX">000A66</idno><idno type="wicri:Area/Main/Curation">000A66</idno><idno type="wicri:Area/Main/Exploration">000140</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Exploration">000140</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Differential Fast Fixed-Point BSS for Underdetermined Linear Instantaneous Mixtures</title><author><name sortKey="Deville, Yannick" sort="Deville, Yannick" uniqKey="Deville Y" first="Yannick" last="Deville">Yannick Deville</name><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire d’Astrophysique de Toulouse-Tarbes, Observatoire Midi-Pyrénées – Université Paul Sabatier, 14 Av. Edouard Belin, 31400, Toulouse</wicri:regionArea><placeName><region type="region" nuts="2">Occitanie (région administrative)</region><region type="old region" nuts="2">Midi-Pyrénées</region><settlement type="city">Toulouse</settlement></placeName><orgName type="university">Université Toulouse III - Paul Sabatier</orgName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Chappuis, Johanna" sort="Chappuis, Johanna" uniqKey="Chappuis J" first="Johanna" last="Chappuis">Johanna Chappuis</name><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire d’Astrophysique de Toulouse-Tarbes, Observatoire Midi-Pyrénées – Université Paul Sabatier, 14 Av. Edouard Belin, 31400, Toulouse</wicri:regionArea><placeName><region type="region" nuts="2">Occitanie (région administrative)</region><region type="old region" nuts="2">Midi-Pyrénées</region><settlement type="city">Toulouse</settlement></placeName><orgName type="university">Université Toulouse III - Paul Sabatier</orgName></affiliation><affiliation></affiliation></author><author><name sortKey="Hosseini, Shahram" sort="Hosseini, Shahram" uniqKey="Hosseini S" first="Shahram" last="Hosseini">Shahram Hosseini</name><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire d’Astrophysique de Toulouse-Tarbes, Observatoire Midi-Pyrénées – Université Paul Sabatier, 14 Av. Edouard Belin, 31400, Toulouse</wicri:regionArea><placeName><region type="region" nuts="2">Occitanie (région administrative)</region><region type="old region" nuts="2">Midi-Pyrénées</region><settlement type="city">Toulouse</settlement></placeName><orgName type="university">Université Toulouse III - Paul Sabatier</orgName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Thomas, Johan" sort="Thomas, Johan" uniqKey="Thomas J" first="Johan" last="Thomas">Johan Thomas</name><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire d’Astrophysique de Toulouse-Tarbes, Observatoire Midi-Pyrénées – Université Paul Sabatier, 14 Av. Edouard Belin, 31400, Toulouse</wicri:regionArea><placeName><region type="region" nuts="2">Occitanie (région administrative)</region><region type="old region" nuts="2">Midi-Pyrénées</region><settlement type="city">Toulouse</settlement></placeName><orgName type="university">Université Toulouse III - Paul Sabatier</orgName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author></analytic><monogr></monogr><series><title level="s">Lecture Notes in Computer Science</title><imprint><date>2006</date></imprint><idno type="ISSN">0302-9743</idno><idno type="eISSN">1611-3349</idno><idno type="ISSN">0302-9743</idno></series><idno type="istex">3CB0A9BF29FA1296C1D5332C734CA975D85DB7B6</idno><idno type="DOI">10.1007/11679363_7</idno><idno type="ChapterID">7</idno><idno type="ChapterID">Chap7</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: This paper concerns underdetermined linear instantaneous blind source separation (BSS), i.e. the case when the number P of observed mixed signals is lower than the number N of sources. We propose a partial BSS method, which separates P supposedly non-stationary sources of interest one from the others (while keeping residual components for the other N – P, supposedly stationary, “noise” sources). This method is based on the general differential BSS concept that we introduced before. Unlike our previous basic application of that concept, this improved method consists of a differential extension of the FastICA method (which does not apply to underdetermined mixtures), thus keeping the attractive features of the latter algorithm. Our approach is therefore based on a differential sphering, followed by the optimization of the differential kurtosis that we introduce in this paper. Experimental tests show that this differential method is much more robust to noise than standard FastICA.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Midi-Pyrénées</li><li>Occitanie (région administrative)</li></region><settlement><li>Toulouse</li></settlement><orgName><li>Université Toulouse III - Paul Sabatier</li></orgName></list><tree><country name="France"><region name="Occitanie (région administrative)"><name sortKey="Deville, Yannick" sort="Deville, Yannick" uniqKey="Deville Y" first="Yannick" last="Deville">Yannick Deville</name></region><name sortKey="Chappuis, Johanna" sort="Chappuis, Johanna" uniqKey="Chappuis J" first="Johanna" last="Chappuis">Johanna Chappuis</name><name sortKey="Deville, Yannick" sort="Deville, Yannick" uniqKey="Deville Y" first="Yannick" last="Deville">Yannick Deville</name><name sortKey="Hosseini, Shahram" sort="Hosseini, Shahram" uniqKey="Hosseini S" first="Shahram" last="Hosseini">Shahram Hosseini</name><name sortKey="Hosseini, Shahram" sort="Hosseini, Shahram" uniqKey="Hosseini S" first="Shahram" last="Hosseini">Shahram Hosseini</name><name sortKey="Thomas, Johan" sort="Thomas, Johan" uniqKey="Thomas J" first="Johan" last="Thomas">Johan Thomas</name><name sortKey="Thomas, Johan" sort="Thomas, Johan" uniqKey="Thomas J" first="Johan" last="Thomas">Johan Thomas</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/France/explor/AussoisV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000140 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000140 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/France
|area= AussoisV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:3CB0A9BF29FA1296C1D5332C734CA975D85DB7B6
|texte= Differential Fast Fixed-Point BSS for Underdetermined Linear Instantaneous Mixtures
}}
| This area was generated with Dilib version V0.6.29. |  |