Uncertainty Quantification for Landweber Iteration with Randomized Normal-Operator Approximation
随机正规算子近似下Landweber迭代的不确定性量化
Iterative methods are extremely popular for solving linear ill-posed inverse problems. While deterministic convergence, or more precisely, semi-convergence of such methods is widely studied, the problem of quantifying uncertainty in the resulting reconstructions due to random noise in the observed data has received far less attention. In this work, we study uncertainty quantification for the Landweber iteration in linear inverse problems using the Radon transform as a…