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Deep model-based architectures (DMBAs) integrating physical measurementmodels and learned image regularizers are widely used in parallel magneticresonance imaging (PMRI). Traditional DMBAs for PMRI rely on pre-estimated coilsensitivity maps (CSMs) as a component of the measurement model. However,estimation of accurate CSMs is a challenging problem when measurements arehighly undersampled. Additionally, traditional training of DMBAs requireshigh-quality groundtruth images, limiting their use in applications wheregroundtruth is difficult to obtain. This paper addresses these issues bypresenting SPICE as a new method that integrates self-supervised learning andautomatic coil sensitivity estimation. Instead of using pre-estimated CSMs,SPICE simultaneously reconstructs accurate MR images and estimates high-qualityCSMs. SPICE also enables learning from undersampled noisy measurements withoutany groundtruth. We validate SPICE on experimentally collected data, showingthat it can achieve state-of-the-art performance in highly accelerated dataacquisition settings (up to 10x).

SPICE: Self-Supervised Learning for MRI with Automatic Coil Sensitivity Estimation