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UID:3228@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191217T140000
DTEND;TZID=Europe/Paris:20191217T160000
DTSTAMP:20241209T193400Z
URL:https://www.i2m.univ-amu.fr/evenements/thi-khuyen-le-statistique-et-op
 timisation-pour-l-estimation-de-covariances-et-applications-a-l-imagerie-m
 edicale/
SUMMARY:Thi Khuyen LE (I2M\, ALEA-SI\, Aix-Marseille Université): Statisti
 que et Optimisation pour l'estimation de covariances et applications à l'
 imagerie médicale
DESCRIPTION:Thi Khuyen LE: Statistics and optimization for estimation of co
 variances and applications to medical imaging\nMy work is based on high di
 mensional graphical models\, precisely I find the estimation of the precis
 ion matrix in high dimension by solving the GLASSO (Graphical Least Adapti
 ve Shrinkage and Selection Operator) problem. Then\, I also apply this est
 imate matrix to study the brain connections of some patient groups such as
  Alzheimer's disease\, Depression\, Fibromyalgia\, etc. Besides\, the prec
 ision matrix obtained by solving GLASSO problem can be applied for improvi
 ng the Linear Discriminant Analysis in high dimension. In order to improve
  the performance of the LDA as well as the other classification methods\, 
 we propose a variable selection method basing on the connected components 
 of the precision matrix which have the largest capacity for discriminating
  data. Another important part in my thesis is testing the significance of 
 points in some models such as the Fused GLASSO model (which is a general m
 odel of the GLASSO model)\, the Joint LASSO model and the Fused LASSO mode
 l.\n*Membres du jury :\nliste partielle\n- M. Frédéric Richard - Profess
 eur\, I2M\, Aix-Marseille Université - Directeur de thèse\n- Mme Carolin
 e Chaux - Chargée de Recherches CNRS\, I2M\, Marseille - Co-directrice\n\
 nWebpage"&gt\;\nLiens :\n- theses.fr\n- Fiche de l'ED184
CATEGORIES:Soutenance de thèse,ALEA,Signal et Apprentissage
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