Computing the Proximal Operator of the $q$-th Power of the ${\ell }_{1,q}$-norm for Group Sparsity

Rongrong Lin, Shihai Chen, Han Feng +1

In this note, we comprehensively characterize the proximal operator of the $q$-th power of the ${\ell }_{1,q}$-norm (denoted by ${\ell }_{1,q}^q$) with $0<q<1$ by exploiting th…