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math.OC2021
A dual semismooth Newton based augmented Lagrangian method for large-scale linearly constrained sparse group square-root Lasso problems
Chengjing Wang, Peipei Tang
Square-root Lasso problems are proven robust regression problems. Furthermore, square-root regression problems with structured sparsity also plays an important role in statistics a…
math.OC2021
A proximal-proximal majorization-minimization algorithm for nonconvex tuning-free robust regression problems
Peipei Tang, Chengjing Wang, Bo Jiang
In this paper, we introduce a proximal-proximal majorization-minimization (PPMM) algorithm for nonconvex tuning-free robust regression problems. The basic idea is to apply the prox…