A flexible framework for sparse simultaneous component based data integration

BMC Bioinformatics

Table 1 Sparse approaches

Norm	Properties	Sparse approach
		Lasso	Elastic net	Group lasso	Sparse group lasso	Elitist lasso
l ₁	selection and shrinkage at the level of the concatenated data	YES	YES	NO	YES	NO
$l_{2}^{2}$	shrinkage, groups correlated variables	NO	YES	NO	NO	NO
l _2,1	selection and shrinkage of entire blocks	NO	NO	YES	YES	NO
L _1,2	selection and shrinkage within each block	NO	NO	NO	NO	YES

Different norms used in the context of sparse approaches, their properties, and specific sparse approaches based on particular combinations of the penalties. A 'YES' indicates that the norm is active in the approach.

ISSN: 1471-2105