Parameter Selection by GCV and a $\ddot{I}{‡}^2$ test within Iterative Methods for ${\ell }_1$-regularized Inverse Problems

Brian Sweeney, Rosemary Renaut, Malena Español

${\ell }_1$ regularization is used to preserve edges or enforce sparsity in a solution to an inverse problem. We investigate the Split Bregman and the Majorization-Minimization iterat…