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

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Hauptverfasser: Chekroun, Mickaël D., Liu, Honghu, Srinivasan, Kaushik, McWilliams, James C.
Format: Preprint
Veröffentlicht: 2023
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author Chekroun, Mickaël D.
Liu, Honghu
Srinivasan, Kaushik
McWilliams, James C.
author_facet Chekroun, Mickaël D.
Liu, Honghu
Srinivasan, Kaushik
McWilliams, James C.
contents Recent years have seen a surge in interest for leveraging neural networks to parameterize small-scale or fast processes in climate and turbulence models. In this short paper, we point out two fundamental issues in this endeavor. The first concerns the difficulties neural networks may experience in capturing rare events due to limitations in how data is sampled. The second arises from the inherent multiscale nature of these systems. They combine high-frequency components (like inertia-gravity waves) with slower, evolving processes (geostrophic motion). This multiscale nature creates a significant hurdle for neural network closures. To illustrate these challenges, we focus on the atmospheric 1980 Lorenz model, a simplified version of the Primitive Equations that drive climate models. This model serves as a compelling example because it captures the essence of these difficulties.
format Preprint
id arxiv_https___arxiv_org_abs_2305_04331
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics
Chekroun, Mickaël D.
Liu, Honghu
Srinivasan, Kaushik
McWilliams, James C.
Dynamical Systems
Atmospheric and Oceanic Physics
Recent years have seen a surge in interest for leveraging neural networks to parameterize small-scale or fast processes in climate and turbulence models. In this short paper, we point out two fundamental issues in this endeavor. The first concerns the difficulties neural networks may experience in capturing rare events due to limitations in how data is sampled. The second arises from the inherent multiscale nature of these systems. They combine high-frequency components (like inertia-gravity waves) with slower, evolving processes (geostrophic motion). This multiscale nature creates a significant hurdle for neural network closures. To illustrate these challenges, we focus on the atmospheric 1980 Lorenz model, a simplified version of the Primitive Equations that drive climate models. This model serves as a compelling example because it captures the essence of these difficulties.
title The High-Frequency and Rare Events Barriers to Neural Closures of Atmospheric Dynamics
topic Dynamical Systems
Atmospheric and Oceanic Physics
url https://arxiv.org/abs/2305.04331