A magnetic resonance (MR) imaging system includes a memory for storing machine executable instructions and for storing pulse sequence commands to acquire the measured MR data according to a compressed sensing MR imaging protocol; and a processor for controlling the system. The MR imaging system with the pulse sequence commands acquires the measured MR data; reconstruct an intermediate MR image according to the compressed sensing MR imaging protocol; calculate a predicted data portion for each of the measured data portions; calculate a residual for each of the measured data portions; identify one or more of the measured data portions as outlier data portions; and reconstruct a corrected MR image according to the compressed sensing MR imaging protocol, wherein the one or more outlier data portions are excluded from the reconstruction of the corrected MR image.