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Fourier Neural Operators (FNOs) have proven to be an efficient and effective method for resolution-independent operator learning in a broad variety of application areas across scientific machine learning. A key reason for their success is…

Long-term fluid dynamics forecasting is a critically important problem in science and engineering. While neural operators have emerged as a promising paradigm for modeling systems governed by partial differential equations (PDEs), they…

Machine Learning · Computer Science 2026-03-31 Huanshuo Dong , Hao Wu , Hong Wang , Qin-Yi Zhang , Zhezheng Hao

Long-term stability and physical consistency are critical properties for AI-based weather models if they are going to be used for subseasonal-to-seasonal forecasts or beyond, e.g., climate change projection. However, current AI-based…

Fluid Dynamics · Physics 2024-12-10 Ashesh Chattopadhyay , Y. Qiang Sun , Pedram Hassanzadeh

Accurate long-term forecasting of spatiotemporal dynamics remains a fundamental challenge across scientific and engineering domains. Existing machine learning methods often neglect governing physical laws and fail to quantify inherent…

Machine Learning · Computer Science 2025-10-27 Qingsong Xu , Jonathan L Bamber , Nils Thuerey , Niklas Boers , Paul Bates , Gustau Camps-Valls , Yilei Shi , Xiao Xiang Zhu

The solar wind, a continuous stream of charged particles from the Sun's corona, shapes the heliosphere and impacts space systems near Earth. Variations such as high-speed streams and coronal mass ejections can disrupt satellites, power…

Machine Learning · Computer Science 2026-04-17 Reza Mansouri , Dustin Kempton , Pete Riley , Rafal Angryk

Studying low-likelihood high-impact extreme weather events in a warming world is a significant and challenging task for current ensemble forecasting systems. While these systems presently use up to 100 members, larger ensembles could enrich…

Accurate surface solar irradiance (SSI) forecasting is essential for optimizing renewable energy systems, particularly in the context of long-term energy planning on a global scale. This paper presents a pioneering approach to solar…

Atmospheric and Oceanic Physics · Physics 2024-11-14 Alberto Carpentieri , Jussi Leinonen , Jeff Adie , Boris Bonev , Doris Folini , Farah Hariri

Accurate long-term traffic forecasting remains a critical challenge in intelligent transportation systems, particularly when predicting high-frequency traffic phenomena such as shock waves and congestion boundaries over extended rollout…

Machine Learning · Computer Science 2025-08-28 Owais Ahmad , Milad Ramezankhani , Anirudh Deodhar

We present a significantly-improved data-driven global weather forecasting framework using a deep convolutional neural network (CNN) to forecast several basic atmospheric variables on a global grid. New developments in this framework…

Atmospheric and Oceanic Physics · Physics 2020-10-14 Jonathan A. Weyn , Dale R. Durran , Rich Caruana

The non-stationarity characteristic of the solar power renders traditional point forecasting methods to be less useful due to large prediction errors. This results in increased uncertainties in the grid operation, thereby negatively…

Machine Learning · Computer Science 2020-09-15 Sakshi Mishra , Praveen Palanisamy

Optical turbulence, driven by fluctuations of the atmospheric refractive index, poses a significant challenge to ground-based optical systems, as it distorts the propagation of light. This degradation affects both astronomical observations…

Instrumentation and Methods for Astrophysics · Physics 2026-03-26 Mary Joe Medlej , Rahul Srinivasan , Simon Prunet , Aziz Ziad , Christophe Giordano

Neural operators have emerged as powerful tools for learning solution operators of partial differential equations (PDEs). However, standard spectral methods based on Fourier transforms struggle with problems involving discontinuous…

Computational Physics · Physics 2026-05-20 Giorgio M. Cavallazzi , Miguel Pérez Cuadrado , Alfredo Pinelli

Forecasting multiscale chaotic dynamical systems, such as turbulent flows, with deep learning remains a formidable challenge due to the spectral bias of neural networks, which hinders the accurate representation of fine-scale structures in…

Machine Learning · Computer Science 2026-03-31 Dibyajyoti Chakraborty , Arvind T. Mohan , Romit Maulik

Data-driven deep learning models are transforming global weather forecasting. It is an open question if this success can extend to climate modeling, where the complexity of the data and long inference rollouts pose significant challenges.…

Machine Learning · Computer Science 2024-11-14 Salva Rühling Cachay , Brian Henn , Oliver Watt-Meyer , Christopher S. Bretherton , Rose Yu

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

Global warming leads to the increase in frequency and intensity of climate extremes that cause tremendous loss of lives and property. Accurate long-range climate prediction allows more time for preparation and disaster risk management for…

Machine Learning · Computer Science 2021-12-13 Ken C. L. Wong , Hongzhi Wang , Etienne E. Vos , Bianca Zadrozny , Campbell D. Watson , Tanveer Syeda-Mahmood

The solar wind, a continuous outflow of charged particles from the Sun's corona, shapes the heliosphere and impacts space systems near Earth. Accurate prediction of features such as high-speed streams and coronal mass ejections is critical…

Machine Learning · Computer Science 2026-03-20 Reza Mansouri , Dustin Kempton , Pete Riley , Rafal Angryk

Accurate modeling of spatiotemporal dynamics is crucial to understanding complex phenomena across science and engineering. However, this task faces a fundamental challenge when the governing equations are unknown and observational data are…

Computational Physics · Physics 2025-12-15 Rui Zhang , Han Wan , Yang Liu , Hao Sun

Accurate and robust weather forecasting remains a fundamental challenge due to the inherent spatio-temporal complexity of atmospheric systems. In this paper, we propose a novel self-supervised learning framework that leverages…

Machine Learning · Computer Science 2025-11-04 Yao Liu

The El Ni{~n}o-Southern Oscillation (ENSO) exerts profound influence on global climate variability, yet its prediction remains a grand challenge. Recent advances in deep learning have significantly improved forecasting skill, but the…

Machine Learning · Computer Science 2026-01-06 Yanhai Gan , Yipeng Chen , Ning Li , Xingguo Liu , Junyu Dong , Xianyao Chen
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