arXiv AI
Jun 26

Sampling sea state using a diffusion model

arXiv:2606. 26389v1 Announce Type: cross Abstract: Sea state prediction is essential for operational maritime applications and coupled earth system modeling, yet current spectral wave models remain computationally prohibitive for many use cases, including online coupling to climate simulations and making probabilistic (ensemble-based) predictions.

By Jiarong Wu, Bertrand Chapron, Laure Zanna
arXiv Machine Learning
Oct 3

Physics-Refined Spatiotemporal Forecasting on Open-Boundary Hydrologic Graphs

The paper introduces a physics‑refined framework for spatiotemporal forecasting on open‑boundary hydrologic graphs, addressing instability caused by missing external boundary forcing. It learns ghost node proxies to approximate unobserved inputs and applies two physics refiners: one enforcing local consistency with two‑hop neighbors, and another using a physics‑guided graph neural operator to reduce long‑horizon drift. Experiments on two real‑world hydrologic graphs show improved prediction accuracy and stability compared to existing learning‑based and physics‑informed models.

By Haoyang Jiang, Zhengui Wang, Shenghan Gao, Y. Joseph Zhang, Xingquan Zhu, Yi He
arXiv Statistics ML
5d ago

Physics-Guided Flow Matching: A Generative AI Framework for Global Total Electron Content Forecasting

The paper introduces a physics‑guided generative AI framework that uses flow matching to forecast global total electron content (TEC) one day ahead. By embedding ionospheric dynamics described by a partial differential equation into the transformation process, the model blends physical knowledge with statistical patterns, adjusting their influence locally. Trained on a year of TIEGCM‑generated TEC data, the approach outperforms statistical, deep learning, and other generative baselines, achieving a 39.2% lower RMSE than ConvLSTM and a 23.8% improvement over the same framework without physical guidance.

By Si-Tong Yang, Feng Ye, Xian Lu, Dong Lin, Benjamin C. Martinez
arXiv Machine Learning
Oct 5

SDECast: Probabilistic Weather Forecasting in Continuous Time with Neural SDEs

SDECast is a Neural Stochastic Differential Equation framework designed for continuous‑time probabilistic weather forecasting. Unlike traditional autoregressive models that operate at fixed temporal resolutions and can accumulate errors at short time steps, SDECast learns stochastic dynamics directly in physical space without repeated SDE simulation during training. Experiments on a simulated geophysical flow demonstrate that SDECast captures meaningful drift dynamics and reproduces continuous‑time behavior, while large‑scale tests show skillful probabilistic forecasts up to five days ahead at hourly resolution.

By Maria Marchenko, Martin Andrae, Fredrik Lindsten, Christian A. Naesseth