An augmented Lagrangian method with exact multipliers for non-separable composite ${\ell }_0$-${\ell }_2$ regularization

Huan Ren, Guiyun Xiao

This paper studies a non-separable composite ${\ell }_0$-${\ell }_2$ regularization model that simultaneously enforces sparsity and smoothness for inverse problems. The ${\ell }_0$ norm ind…