A probabilistic Bayesian approach to recover R 2* $$ {R}_{2\ast } $$ map and phase images for quantitative susceptibility mapping.

AMP-PE achieves better performance by drawing information from both the sparse prior and the mono-exponential decay model. It does not require parameter tuning, and works with a clinical, prospective undersampling scheme where parameter tuning is often impossible or difficult due to the lack of ground-truth image.