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Variable Selection for Generalized Canonical Correlation Analysis

Abstract : Regularized generalized canonical correlation analysis (RGCCA) is a generalization of regularized canonical correlation analysis to 3 or more sets of variables. RGCCA is a component-based approach which aims to study the relationships between several sets of variables. The quality and interpretability of the RGCCA components are likely to be affected by the usefulness and relevance of the variables in each block. Therefore, it is an important issue to identify within each block which subsets of significant variables are active in the relationships between blocks. In this paper, RGCCA is extended to address the issue of variable selection. Specifically, sparse generalized canonical correlation analysis (SGCCA) is proposed to combine RGCCA with an ℓ1-penalty in a unified framework. Within this framework, blocks are not necessarily fully connected, which makes SGCCA a flexible method for analyzing a wide variety of practical problems. Finally, the versatility and usefulness of SGCCA are illustrated on a simulated dataset and on a 3-block dataset which combine gene expression, comparative genomic hybridization, and a qualitative phenotype measured on a set of 53 children with glioma. SGCCA is available on CRAN as part of the RGCCA package.
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Contributor : Alexandra Siebert Connect in order to contact the contributor
Submitted on : Tuesday, October 14, 2014 - 11:40:38 AM
Last modification on : Tuesday, January 25, 2022 - 3:11:31 AM

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Arthur Tenenhaus, Cathy Philippe, Vincent Guillemot, Kim-Anh Lê Cao, Jacques Grill, et al.. Variable Selection for Generalized Canonical Correlation Analysis. Biostatistics, Oxford University Press (OUP), 2014, 15 (3), pp.569-583. ⟨10.1093/biostatistics/kxu001⟩. ⟨hal-01071432⟩



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