Title :

Structured Sparse Principal Components Analysis with the TV-Elastic Net penalty

Author(s) :

de Pierrefeu, Amicie [Auteur]
Service NEUROSPIN [NEUROSPIN]
Löfstedt, Tommy [Auteur]

Hadj-Selem, Fouad [Auteur]
VEhicule DEcarboné et COmmuniquant et sa Mobilité [VeDeCom]
Dubois, Mathieu [Auteur]
Service NEUROSPIN [NEUROSPIN]
Jardri, Renaud [Auteur]
Laboratoire Sciences Cognitives et Sciences Affectives - UMR 9193 [SCALab]
Fovet, Thomas [Auteur]
Laboratoire Sciences Cognitives et Sciences Affectives - UMR 9193 [SCALab]
Ciuciu, Philippe [Auteur]
Service NEUROSPIN [NEUROSPIN]
Frouin, Vincent [Auteur]
40417|||Service NEUROSPIN [NEUROSPIN]
Duchesnay, Edouard [Auteur]
Service NEUROSPIN [NEUROSPIN]

Journal title :

IEEE Transactions on Medical Imaging

Volume number :

62

Pages :

1-12

Publication date :

2018-02

HAL domain(s) :

Sciences cognitives

English abstract : [en]

Principal component analysis (PCA) is an exploratory tool widely used in data analysis to uncover dominant patterns of variability within a population. Despite its ability to represent a data set in a low-dimensional space, ...
Show more >Principal component analysis (PCA) is an exploratory tool widely used in data analysis to uncover dominant patterns of variability within a population. Despite its ability to represent a data set in a low-dimensional space, the interpretability of PCA remains limited. However, in neuroimaging, it is essential to uncover clinically interpretable phenotypic markers that would account for the main variability in the brain images of a population. Recently, some alternatives to the standard PCA approach, such as Sparse PCA, have been proposed, their aim being to limit the density of the components. Nonetheless, sparsity alone does not entirely solve the interpretability problem, since it may yield scattered and unstable components. We hypothesized that the incorporation of prior information regarding the structure of the data may lead to improved relevance and interpretability of brain patterns. We therefore present a simple extension of the popular PCA framework that adds structured sparsity penalties on the loading vectors in order to identify the few stable regions in the brain images accounting for most of the variability. Such structured sparsity can be obtained by combining l1 and total variation (TV) penalties, where the TV regularization encodes higher order information about the structure of the data. This paper presents the structured sparse PCA (denoted SPCA-TV) optimization framework and its resolution. We demonstrate the efficiency and versatility of SPCA-TV on three different data sets. The gains of SPCA-TV over unstructured approaches are significant,since SPCA-TV reveals the variability within a data set in the form of intelligible brain patterns that are easy to interpret, and are more stable across different samples.Show less >

Language :

Anglais

Audience :

Internationale

Administrative institution(s) :

Université de Lille
CNRS
CHU Lille

Collections :

• Sciences Cognitives et Sciences Affectives (SCALab) - UMR 9193

Research team(s) :

Équipe Psychiatrie & Croyance (PsyCHIC)

Submission date :

2019-02-13T14:48:22Z
2020-04-15T10:57:20Z
2023-05-17T09:10:29Z