Theoretical tools for understanding the climate crisis from Hasselmann's programme and beyond

V Lucarini, MD Chekroun - Nature Reviews Physics, 2023 - nature.com
Klaus Hasselmann's revolutionary intuition in climate science was to use the stochasticity
associated with fast weather processes to probe the slow dynamics of the climate system …

Generative data‐driven approaches for stochastic subgrid parameterizations in an idealized ocean model

P Perezhogin, L Zanna… - Journal of Advances in …, 2023 - Wiley Online Library
Subgrid parameterizations of mesoscale eddies continue to be in demand for climate
simulations. These subgrid parameterizations can be powerfully designed using physics …

Learning closed‐form equations for subgrid‐scale closures from high‐fidelity data: Promises and challenges

K Jakhar, Y Guan, R Mojgani… - Journal of Advances …, 2024 - Wiley Online Library
There is growing interest in discovering interpretable, closed‐form equations for subgrid‐
scale (SGS) closures/parameterizations of complex processes in Earth systems. Here, we …

Turbulence closure modeling with machine learning: A foundational physics perspective

SS Girimaji - New Journal of Physics, 2024 - iopscience.iop.org
Turbulence closure modeling using (ML) is at an early crossroads. The extraordinary
success of ML in a variety of challenging fields had given rise to an expectation of similar …

Learning closed-form equations for subgrid-scale closures from high-fidelity data: Promises and challenges

K Jakhar, Y Guan, R Mojgani, A Chattopadhyay… - arXiv preprint arXiv …, 2023 - arxiv.org
There is growing interest in discovering interpretable, closed-form equations for subgrid-
scale (SGS) closures/parameterizations of complex processes in Earth systems. Here, we …

A transformer-based convolutional method to model inverse cascade in forced two-dimensional turbulence

H Li, J Xie, C Zhang, Y Zhang, Y Zhao - Journal of Computational Physics, 2025 - Elsevier
The present work proposes a novel transformer-based convolutional neural network
(TransCNN) method to effectively model the inverse energy cascade in two dimensional …

Extreme event prediction with multi-agent reinforcement learning-based parametrization of atmospheric and oceanic turbulence

R Mojgani, D Waelchli, Y Guan… - arXiv preprint arXiv …, 2023 - arxiv.org
Global climate models (GCMs) are the main tools for understanding and predicting climate
change. However, due to limited numerical resolutions, these models suffer from major …

Minimum reduced-order models via causal inference

N Chen, H Liu - Nonlinear Dynamics, 2024 - Springer
Constructing sparse, effective reduced-order models (ROMs) for high-dimensional
dynamical data is an active area of research in applied sciences. In this work, we study an …

Low-dimensional representation of intermittent geophysical turbulence with high-order statistics-informed neural networks (H-SiNN)

R Foldes, E Camporeale, R Marino - Physics of Fluids, 2024 - pubs.aip.org
We present a novel machine learning approach to reduce the dimensionality of state
variables in stratified turbulent flows governed by the Navier–Stokes equations in the …

Online learning of eddy-viscosity and backscattering closures for geophysical turbulence using ensemble Kalman inversion

Y Guan, P Hassanzadeh, T Schneider… - arXiv preprint arXiv …, 2024 - arxiv.org
Different approaches to using data-driven methods for subgrid-scale closure modeling have
emerged recently. Most of these approaches are data-hungry, and lack interpretability and …