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Efficient Sparse Semismooth Newton Methods for the Clustered Lasso Problem

Efficient Sparse Semismooth Newton Methods for the Clustered Lasso Problem

We focus on solving the clustered Lasso problem, which is a least squares problem with the $\ell_1$-type penalties imposed on both the coefficients and their pairwise differences to learn the group structure of the regression parameters. Here we first reformulate the clustered Lasso regularizer as a weighted ordered-Lasso regularizer, which …