A Semi-smooth Newton Method for Inverse Problem with Uniform Noise

摘要: In this paper we study inverse problems where observations are corrupted by uniform noise. By using maximum a posteriori approach, an $$L_\infty $$ -norm constrained minimization problem can be formulated for noise removal. The main difficulty of solving such is how to deal with non-differentiability the constraint and estimate level contribution develop efficient semi-smooth Newton method problem. Here handled active set constraints arising from optimality conditions. proposed method, linear systems based on required solve in each step. We also employ moments (MoM) combination MoM quite effective Numerical examples given demonstrate that our outperforms other testing methods.