Group lasso with overlaps: the latent group lasso approach
arXiv preprint arXiv:1110.0413, 2011•arxiv.org
We study a norm for structured sparsity which leads to sparse linear predictors whose
supports are unions of prede ned overlapping groups of variables. We call the obtained
formulation latent group Lasso, since it is based on applying the usual group Lasso penalty
on a set of latent variables. A detailed analysis of the norm and its properties is presented
and we characterize conditions under which the set of groups associated with latent
variables are correctly identi ed. We motivate and discuss the delicate choice of weights …
supports are unions of prede ned overlapping groups of variables. We call the obtained
formulation latent group Lasso, since it is based on applying the usual group Lasso penalty
on a set of latent variables. A detailed analysis of the norm and its properties is presented
and we characterize conditions under which the set of groups associated with latent
variables are correctly identi ed. We motivate and discuss the delicate choice of weights …
We study a norm for structured sparsity which leads to sparse linear predictors whose supports are unions of prede ned overlapping groups of variables. We call the obtained formulation latent group Lasso, since it is based on applying the usual group Lasso penalty on a set of latent variables. A detailed analysis of the norm and its properties is presented and we characterize conditions under which the set of groups associated with latent variables are correctly identi ed. We motivate and discuss the delicate choice of weights associated to each group, and illustrate this approach on simulated data and on the problem of breast cancer prognosis from gene expression data.
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