Differentiable Programming for Differential Equations: A Review
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 …
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
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 …
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
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 …
economic damage globally, highlighting the need for accurate, high‐resolution modeling …
Spectrum-Informed Multistage Neural Networks: Multiscale Function Approximators of Machine Precision
Deep learning frameworks have become powerful tools for approaching scientific problems
such as turbulent flow, which has wide-ranging applications. In practice, however, existing …
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 …
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?
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 …
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
High-fidelity direct numerical simulation of turbulent flows for most real-world applications
remains an outstanding computational challenge. Several machine learning approaches …
remains an outstanding computational challenge. Several machine learning approaches …
Binned Spectral Power Loss for Improved Prediction of Chaotic Systems
Forecasting multiscale chaotic dynamical systems with deep learning remains a formidable
challenge due to the spectral bias of neural networks, which hinders the accurate …
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
Machine learning (ML) techniques, especially neural networks (NNs), have shown promise
in learning subgrid-scale parameterizations for climate models. However, a major problem …
in learning subgrid-scale parameterizations for climate models. However, a major problem …
Enforcing Equity in Neural Climate Emulators
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 …
weather prediction tasks. While showing incredibly promising results, these networks do not …