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fMRI data analysis : statistics, information and dynamics

Bertrand Thirion 1
1 ODYSSEE - Computer and biological vision
DI-ENS - Département d'informatique de l'École normale supérieure, CRISAM - Inria Sophia Antipolis - Méditerranée , ENS Paris - École normale supérieure - Paris, Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
Abstract : In this thesis, we discuss and propose several methods for functional MRI -magnetic resonance imaging- data analysis. Functional MRI is a recent modality for the study of brain function: it produces image sequences that reflect local brain metabolic activity, which in turn reflects neural activity. We first deal with the modeling of each voxel-based temporal pattern, using linear prediction techniques and estimating the information contained in the temporal processes. We then study different multivariate generalizations of this model. After recalling and discussing several classical methods (independent components analysis, clustering), we first propose a linear approach based on state-space modeling, and then a non-linear approach based on kernel decompositions. The common objective of these methods -that are nevertheless complementary- is to propose decompositions that preserve optimally the data dynamics. We then introduce a novel point of view based on dimension reduction of the dataset, which allows for a more structured representation and helps for visualization. We show its effectiveness with respect to classical linear decomposition techniques. Finally, we describe a methodology of analysis that synthesizes different parts of this work, and relies on soft hypotheses. Our results give a global description of the dynamical processes embedded in the data produced by functional MRI.
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https://pastel.archives-ouvertes.fr/tel-00457460
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Submitted on : Wednesday, February 17, 2010 - 1:54:05 PM
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  • HAL Id : tel-00457460, version 1

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Bertrand Thirion. fMRI data analysis : statistics, information and dynamics. Human-Computer Interaction [cs.HC]. Télécom ParisTech, 2003. English. ⟨tel-00457460⟩

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