Recurrent inference machines as inverse problem solvers for MR relaxometry

•Recurrent Inference Machines iteratively reconstruct T1 and T2 relaxometry maps.•Higher precision, comparable accuracy as a state-of-the-art mapping method.•Generalizes across anatomies and slight variations in acquisition settings.•Inference is 150 times faster than conventional state-of-the-art mapping method.•Simulated data for training reduces requirements on costly image acquisition.