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Noah D. Brenowitz, Tom Beucler, Michael Pritchard, and Christopher S. Bretherton

near-global cloud-resolving model (GCRM) ( Brenowitz and Bretherton 2018 , 2019 ). Most ML parameterizations are deterministic, a potentially harmful approximation ( Palmer 2001 ), but stochastic extensions of these techniques have been proposed ( Krasnopolsky et al. 2013 ). RFs appear robust to coupling: their output spaces are bounded since their predictions for any given input are averages over actual samples in the training data ( O’Gorman and Dwyer 2018 ). In contrast, NNs are often

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