Papers for

weather prediction engineers

Papers whose findings have a practical use for this group, as judged from the abstract. Open a paper to read what it means in practice.

Neural operators refined for better fine details and long stability

ReAl: Refine neural operators via aligning dynamical flow

Abstract: Neural partial differential equation (PDE) surrogates trained with mean squared error (MSE) can capture dominant dynamics but often lose high-frequency information and fine-scale structures. Generative models (e.g., Flow Matching) can capture the distribution of fine-scale details, yet stochastic errors may accumulate during autoregressive rollouts and compromise long-term stability. To address these limitations, we introduce Refine and Align(ReAl), a model-agnostic plug-in that augments pretrained PDE surrogates to improve the reconstruction of high-frequency structures associated with complex physical phenomena. In the refinement stage, a conditional flow-matching model learns the residual distribution around the deterministic base prediction, recovering missing fine-scale structures while retaining the dominant dynamics. In the alignment stage, to mitigate the generative discrepancies amplified in the autoregressive rollout, particularly in chaotic systems, we generate multiple trajectories from the same input and reinforce the refiner with trajectory-level rewards, thereby achieving long-horizon dynamical alignment. Experiments across diverse surrogate architectures and PDE tasks demonstrate that ReAl consistently improves high-frequency fidelity, forecasting accuracy, and long-horizon stability.

Wed 14 OctMachine Learning
The gist
Many AI models that predict how physical systems change over time miss important small details or lose accuracy when predicting far into the future. The authors develop a method called ReAl that improves these predictions by first fixing missing fine details and then making sure predictions stay consistent over longer periods. This approach works with many existing models and helps them keep small structures and remain accurate even in complex, chaotic systems. Their tests show better detail and longer reliable forecasts.
Open → 2610.20369v1