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A promising approach to improve climate-model simulations is to replace traditional subgrid parameterizations based on simplified physical models by machine learning algorithms that are data-driven. However, neural networks (NNs) often lead…

Atmospheric and Oceanic Physics · Physics 2021-04-07 Janni Yuval , Paul A. O'Gorman , Chris N. Hill

Radiation is typically the most time-consuming physical process in numerical models. One solution is to use machine learning methods to simulate the radiation process to improve computational efficiency. From an operational standpoint, this…

Machine Learning · Computer Science 2026-01-21 Hao Jing , Sa Xiao , Haoyu Li , Huadong Xiao , Wei Xue

State-of-the-art Earth system models (ESMs) cannot explicitly resolve many small-scale atmospheric processes such as atmospheric gravity waves, and thus must represent, or parameterise, their effects on the resolved state. Machine learning…

Atmospheric and Oceanic Physics · Physics 2026-05-07 Elias Haslauer , Mierk Schwabe , Andreas Dörnbrack , Edwin P. Gerber , Markus Rapp , Nedjeljka Žagar , Veronika Eyring

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

Global climate models typically operate at a grid resolution of hundreds of kilometers and fail to resolve atmospheric mesoscale processes, e.g., clouds, precipitation, and gravity waves (GWs). Model representation of these processes and…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Aman Gupta , Aditi Sheshadri , Sujit Roy , Vishal Gaur , Manil Maskey , Rahul Ramachandran

Climate models are complicated software systems that approximate atmospheric and oceanic fluid mechanics at a coarse spatial resolution. Typical climate forecasts only explicitly resolve processes larger than 100 km and approximate any…

Data-driven emulators are increasingly being used to learn and emulate physics-based simulations, reducing computational expense and run time. Here, we present a structured way to improve the quality of these high-dimensional emulated…

Machine Learning · Computer Science 2025-04-25 Nawid Keshtmand , Elena Fillola , Jeffrey Nicholas Clark , Raul Santos-Rodriguez , Matthew Rigby

This paper explores learning emulators for parameter estimation with uncertainty estimation of high-dimensional dynamical systems. We assume access to a computationally complex simulator that inputs a candidate parameter and outputs a…

Machine Learning · Computer Science 2022-11-04 Ruoxi Jiang , Rebecca Willett

Accurate space weather forecasting is crucial for protecting our increasingly digital infrastructure. Hybrid-Vlasov models, like Vlasiator, offer physical realism beyond that of current operational systems, but are too computationally…

Due to computational constraints, climate simulations cannot resolve a range of small-scale physical processes, which have a significant impact on the large-scale evolution of the climate system. Parameterization is an approach to capture…

Atmospheric and Oceanic Physics · Physics 2024-11-12 Cem Gultekin , Adam Subel , Cheng Zhang , Matan Leibovich , Pavel Perezhogin , Alistair Adcroft , Carlos Fernandez-Granda , Laure Zanna

Modeling geophysical processes as low-dimensional dynamical systems and regressing their vector field from data is a promising approach for learning emulators of such systems. We show that when the kernel of these emulators is also learned…

Atmospheric and Oceanic Physics · Physics 2021-08-11 Boumediene Hamzi , Romit Maulik , Houman Owhadi

Neural networks (NNs) are increasingly used for data-driven subgrid-scale parameterization in weather and climate models. While NNs are powerful tools for learning complex nonlinear relationships from data, there are several challenges in…

Neural networks are a promising technique for parameterizing sub-grid-scale physics (e.g. moist atmospheric convection) in coarse-resolution climate models, but their lack of interpretability and reliability prevents widespread adoption.…

Atmospheric and Oceanic Physics · Physics 2020-12-30 Noah D. Brenowitz , Tom Beucler , Michael Pritchard , Christopher S. Bretherton

Operational weather forecasting models have advanced for decades on both the explicit numerical solvers and the empirical physical parameterization schemes. However, the involved high computational costs and uncertainties in these existing…

Atmospheric and Oceanic Physics · Physics 2024-05-13 Mengxuan Chen , Ziqi Yuan , Jinxiao Zhang , Runmin Dong , Haohuan Fu

Global climate models represent small-scale processes such as clouds and convection using quasi-empirical models known as parameterizations, and these parameterizations are a leading cause of uncertainty in climate projections. A promising…

Atmospheric and Oceanic Physics · Physics 2020-08-31 Janni Yuval , Paul A. O'Gorman

Global climate models parameterize a range of atmospheric-oceanic processes like gravity waves, clouds, moist convection, and turbulence that cannot be sufficiently resolved. These subgrid-scale closures for unresolved processes are a…

Atmospheric and Oceanic Physics · Physics 2025-09-05 Aman Gupta , Aditi Sheshadri , Sujit Roy , Johannes Schmude , Vishal Gaur , Wei Ji Leong , Manil Maskey , Rahul Ramachandran

In this paper, we propose a generic algorithm to train machine learning-based subgrid parametrizations online, i.e., with \textit{a posteriori} loss functions, but for non-differentiable numerical solvers. The proposed approach leverages a…

Computational Physics · Physics 2026-01-14 Hugo Frezat , Ronan Fablet , Guillaume Balarac , Julien Le Sommer

We address the question of how to use a machine learned parameterization in a general circulation model, and assess its performance both computationally and physically. We take one particular machine learned parameterization…

Atmospheric and Oceanic Physics · Physics 2023-03-03 Cheng Zhang , Pavel Perezhogin , Cem Gultekin , Alistair Adcroft , Carlos Fernandez-Granda , Laure Zanna

Ensemble weather predictions require statistical post-processing of systematic errors to obtain reliable and accurate probabilistic forecasts. Traditionally, this is accomplished with distributional regression models in which the parameters…

Machine Learning · Statistics 2019-04-01 Stephan Rasp , Sebastian Lerch
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