2017
DOI: 10.1007/s11336-017-9573-x
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Regularized Generalized Canonical Correlation Analysis: A Framework for Sequential Multiblock Component Methods

Abstract: A new framework for sequential multiblock component methods is presented. This framework relies on a new version of regularized generalized canonical correlation analysis (RGCCA) where various scheme functions and shrinkage constants are considered. Two types of between block connections are considered: blocks are either fully connected or connected to the superblock (concatenation of all blocks). The proposed iterative algorithm is monotone convergent and guarantees obtaining at convergence a stationary point… Show more

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Cited by 89 publications
(67 citation statements)
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“…We denote by y ∈ {0, 1} n the disease status or target. X and Z are scaled respectively by √ p and √ q to balance for the different number of features [11] and we assume that X, Z, y have been centred and scaled to unit variance.…”
Section: Methodsmentioning
confidence: 99%
“…We denote by y ∈ {0, 1} n the disease status or target. X and Z are scaled respectively by √ p and √ q to balance for the different number of features [11] and we assume that X, Z, y have been centred and scaled to unit variance.…”
Section: Methodsmentioning
confidence: 99%
“…We selected nine jDR approaches representative of each of these main mathematical formulations (Table 1), focusing on methods able to combine more than two omics, implemented in R or Python, and with software readily available and documented. These jDR approaches are iCluster 15 , Integrative NMF (intNMF) 16 , Joint and Individual Variation Explained (JIVE) 17 , Multiple co-inertia analysis (MCIA) 18 , Multi-Omics Factor Analysis (MOFA) 19 , Multi-Study Factor Analysis (MSFA) 20 , Regularized Generalized Canonical Correlation Analysis (RGCCA) 21 , matrix-tri-factorization (scikit-fusion) 22 and tensorial Independent Component Analysis (tICA) 23 .…”
Section: Joint Dimensionality Reduction Approaches and Principlesmentioning
confidence: 99%
“…RGCCA 21 is one of the most widely used generalizations of CCA to multi-omics data. Similarly to MCIA, RGCCA factorizes each omics into omics-specific factors:…”
Section: Regularized Generalized Canonical Correlation Analysis (Rgcca)mentioning
confidence: 99%
“…To compare the performance of HIM in selecting miRNA-mRNA pairs with more traditional approaches such as correlation analysis, we used a regularized generalized canonical correlation analysis (rgCCA), a componentbased approach that aims to study the relationships between several sets of variables [17]. This analysis selected 36,963 miRNA-mRNA pairs (|r| > 0.5 and FDR < 0.05) from GU dataset and 36,962 miRNA-mRNA pairs (|r| > 0.5 and FDR < 0.05) from the TCGA dataset.…”
Section: Correlation Analysis Of Gu and Tcga Datasetsmentioning
confidence: 99%