Differentiable Programming for Differential Equations: A Review

F Sapienza, J Bolibar, F Schäfer, B Groenke… - arxiv preprint arxiv …, 2024 - arxiv.org
The differentiable programming paradigm is a cornerstone of modern scientific computing. It
refers to numerical methods for computing the gradient of a numerical model's output. Many …

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 …

A generative super‐resolution model for enhancing tropical cyclone wind field intensity and resolution

JW Lockwood, A Gori, P Gentine - Journal of Geophysical …, 2024 - Wiley Online Library
Extreme winds associated with tropical cyclones (TCs) can cause significant loss of life and
economic damage globally, highlighting the need for accurate, high‐resolution modeling …

Spectrum-Informed Multistage Neural Networks: Multiscale Function Approximators of Machine Precision

J Ng, Y Wang, CY Lai - arxiv preprint arxiv:2407.17213, 2024 - arxiv.org
Deep learning frameworks have become powerful tools for approaching scientific problems
such as turbulent flow, which has wide-ranging applications. In practice, however, existing …

Multi-scale decomposition of sea surface height snapshots using machine learning

J Lyu, Y Wang, C Pedersen, S Jones… - arxiv preprint arxiv …, 2024 - arxiv.org
Knowledge of ocean circulation is important for understanding and predicting weather and
climate, and managing the blue economy. This circulation can be estimated through Sea …

Can AI weather models predict out-of-distribution gray swan tropical cyclones?

YQ Sun, P Hassanzadeh, M Zand… - arxiv preprint arxiv …, 2024 - arxiv.org
Predicting gray swan weather extremes, which are possible but so rare that they are absent
from the training dataset, is a major concern for AI weather/climate models. An important …

Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence

M Atif, P Dubey, PP Aghor… - SC24-W: Workshops …, 2024 - ieeexplore.ieee.org
High-fidelity direct numerical simulation of turbulent flows for most real-world applications
remains an outstanding computational challenge. Several machine learning approaches …

Binned Spectral Power Loss for Improved Prediction of Chaotic Systems

D Chakraborty, AT Mohan, R Maulik - arxiv preprint arxiv:2502.00472, 2025 - arxiv.org
Forecasting multiscale chaotic dynamical systems with deep learning remains a formidable
challenge due to the spectral bias of neural networks, which hinders the accurate …

On the importance of learning non-local dynamics for stable data-driven climate modeling: A 1D gravity wave-QBO testbed

HA Pahlavan, P Hassanzadeh… - arxiv preprint arxiv …, 2024 - arxiv.org
Machine learning (ML) techniques, especially neural networks (NNs), have shown promise
in learning subgrid-scale parameterizations for climate models. However, a major problem …

Enforcing Equity in Neural Climate Emulators

W Yik, SJ Silva - arxiv preprint arxiv:2406.19636, 2024 - arxiv.org
Neural network emulators have become an invaluable tool for a wide variety of climate and
weather prediction tasks. While showing incredibly promising results, these networks do not …