The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics

Citation:

Chekroun, Mickaël D., H. Liu, K. Srinivasan, and James C. McWilliams. Submitted. “The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics”.

Abstract:

Neural parameterizations and closures of climate and turbulent models have raised a lot of interest in recent years. In this short paper, we point out two fundamental problems in this endeavour, one tied to sampling issues due to rare events, and the other one tied to the high-frequency content of slow-fast solutions which constitute an intrinsic barrier to neural closure of such multiscale systems. We argue that the atmospheric 1980 Lorenz model, a truncated model of the Primitive Equations -- the fuel engine of climate models -- serves as a remarkable metaphor to illustrate these fundamental issues.

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Last updated on 12/23/2023