Extension of the mixture of factor analyzers model to incorporate the multivariate t-distribution
Identifieur interne : 009589 ( Main/Curation ); précédent : 009588; suivant : 009590Extension of the mixture of factor analyzers model to incorporate the multivariate t-distribution
Auteurs : G. J. Mclachlan [Australie] ; R. W. Bean [Australie] ; L. Ben-Tovim Jones [Australie]Source :
- Computational statistics & data analysis [ 0167-9473 ] ; 2007.
Descripteurs français
- Pascal (Inist)
- Mélange loi probabilité, Analyse multivariable, Loi n variables, Fonction répartition, Estimation densité, Donnée observation, Observation aberrante, Loi normale, Estimation erreur, Algorithme EM, Ajustement, Classification automatique (statistiques), Analyse donnée, Calcul statistique, 62H10, 60E05, 62G07, 62H30, 62F03, Modèle factoriel, Puce à ADN.
English descriptors
- KwdEn :
- Cluster analysis (statistics), Data analysis, Density estimation, Distribution function, EM algorithm, Error estimation, Factor model, Fitting, Gaussian distribution, Microarray, Mixed distribution, Multivariate analysis, Multivariate distribution, Observation data, Outlier, Statistical computation.
Abstract
Mixtures of factor analyzers enable model-based density estimation to be undertaken for high-dimensional data, where the number of observations n is small relative to their dimension p. However, this approach is sensitive to outliers as it is based on a mixture model in which the multivariate normal family of distributions is assumed for the component error and factor distributions. An extension to mixtures of t-factor analyzers is considered, whereby the multivariate t-family is adopted for the component error and factor distributions. An EM-based algorithm is developed for the fitting of mixtures of t-factor analyzers. Its application is demonstrated in the clustering of some microarray gene-expression data.
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: Pour aller vers cette notice dans l'étape Curation :003B41
- to stream PascalFrancis, to step Curation: Pour aller vers cette notice dans l'étape Curation :002547
- to stream PascalFrancis, to step Checkpoint: Pour aller vers cette notice dans l'étape Curation :003906
- to stream Main, to step Merge: Pour aller vers cette notice dans l'étape Curation :00A018
Links to Exploration step
Pascal:07-0325488Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Extension of the mixture of factor analyzers model to incorporate the multivariate t-distribution</title><author><name sortKey="Mclachlan, G J" sort="Mclachlan, G J" uniqKey="Mclachlan G" first="G. J." last="Mclachlan">G. J. Mclachlan</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Mathematics and the Institute for Molecular Bioscience, University of Queensland</s1><s2>St. Lucia, Brisbane 4072</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>St. Lucia, Brisbane 4072</wicri:noRegion></affiliation></author><author><name sortKey="Bean, R W" sort="Bean, R W" uniqKey="Bean R" first="R. W." last="Bean">R. W. Bean</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Mathematics and the Institute for Molecular Bioscience, University of Queensland</s1><s2>St. Lucia, Brisbane 4072</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>St. Lucia, Brisbane 4072</wicri:noRegion></affiliation></author><author><name sortKey="Jones, L Ben Tovim" sort="Jones, L Ben Tovim" uniqKey="Jones L" first="L. Ben-Tovim" last="Jones">L. Ben-Tovim Jones</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Mathematics and the Institute for Molecular Bioscience, University of Queensland</s1><s2>St. Lucia, Brisbane 4072</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>St. Lucia, Brisbane 4072</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">07-0325488</idno><date when="2007">2007</date><idno type="stanalyst">PASCAL 07-0325488 INIST</idno><idno type="RBID">Pascal:07-0325488</idno><idno type="wicri:Area/PascalFrancis/Corpus">003B41</idno><idno type="wicri:Area/PascalFrancis/Curation">002547</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">003906</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">003906</idno><idno type="wicri:doubleKey">0167-9473:2007:Mclachlan G:extension:of:the</idno><idno type="wicri:Area/Main/Merge">00A018</idno><idno type="wicri:Area/Main/Curation">009589</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Extension of the mixture of factor analyzers model to incorporate the multivariate t-distribution</title><author><name sortKey="Mclachlan, G J" sort="Mclachlan, G J" uniqKey="Mclachlan G" first="G. J." last="Mclachlan">G. J. Mclachlan</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Mathematics and the Institute for Molecular Bioscience, University of Queensland</s1><s2>St. Lucia, Brisbane 4072</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>St. Lucia, Brisbane 4072</wicri:noRegion></affiliation></author><author><name sortKey="Bean, R W" sort="Bean, R W" uniqKey="Bean R" first="R. W." last="Bean">R. W. Bean</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Mathematics and the Institute for Molecular Bioscience, University of Queensland</s1><s2>St. Lucia, Brisbane 4072</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>St. Lucia, Brisbane 4072</wicri:noRegion></affiliation></author><author><name sortKey="Jones, L Ben Tovim" sort="Jones, L Ben Tovim" uniqKey="Jones L" first="L. Ben-Tovim" last="Jones">L. Ben-Tovim Jones</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Department of Mathematics and the Institute for Molecular Bioscience, University of Queensland</s1><s2>St. Lucia, Brisbane 4072</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>St. Lucia, Brisbane 4072</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Computational statistics & data analysis</title><title level="j" type="abbreviated">Comput. stat. data anal.</title><idno type="ISSN">0167-9473</idno><imprint><date when="2007">2007</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Computational statistics & data analysis</title><title level="j" type="abbreviated">Comput. stat. data anal.</title><idno type="ISSN">0167-9473</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Cluster analysis (statistics)</term><term>Data analysis</term><term>Density estimation</term><term>Distribution function</term><term>EM algorithm</term><term>Error estimation</term><term>Factor model</term><term>Fitting</term><term>Gaussian distribution</term><term>Microarray</term><term>Mixed distribution</term><term>Multivariate analysis</term><term>Multivariate distribution</term><term>Observation data</term><term>Outlier</term><term>Statistical computation</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Mélange loi probabilité</term><term>Analyse multivariable</term><term>Loi n variables</term><term>Fonction répartition</term><term>Estimation densité</term><term>Donnée observation</term><term>Observation aberrante</term><term>Loi normale</term><term>Estimation erreur</term><term>Algorithme EM</term><term>Ajustement</term><term>Classification automatique (statistiques)</term><term>Analyse donnée</term><term>Calcul statistique</term><term>62H10</term><term>60E05</term><term>62G07</term><term>62H30</term><term>62F03</term><term>Modèle factoriel</term><term>Puce à ADN</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Mixtures of factor analyzers enable model-based density estimation to be undertaken for high-dimensional data, where the number of observations n is small relative to their dimension p. However, this approach is sensitive to outliers as it is based on a mixture model in which the multivariate normal family of distributions is assumed for the component error and factor distributions. An extension to mixtures of t-factor analyzers is considered, whereby the multivariate t-family is adopted for the component error and factor distributions. An EM-based algorithm is developed for the fitting of mixtures of t-factor analyzers. Its application is demonstrated in the clustering of some microarray gene-expression data.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Asie/explor/AustralieFrV1/Data/Main/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 009589 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Curation/biblio.hfd -nk 009589 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Asie
|area= AustralieFrV1
|flux= Main
|étape= Curation
|type= RBID
|clé= Pascal:07-0325488
|texte= Extension of the mixture of factor analyzers model to incorporate the multivariate t-distribution
}}
| This area was generated with Dilib version V0.6.33. |  |