Probabilistic Weather Forecasting with Hierarchical Graph Neural Networks

Joel Oskarsson, Tomas Landelius, M. Deisenroth, Fredrik Lindsten
2/3/2026

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Abstract

In recent years, machine learning has established itself as a powerful tool for high-resolution weather forecasting. While most current machine learning models focus on deterministic forecasts, accurately capturing the uncertainty in the chaotic weather system calls for probabilistic modeling. We propose a probabilistic weather forecasting model called Graph-EFM, combining a flexible latent-variable formulation with the successful graph-based forecasting framework. The use of a hierarchical graph construction allows for efficient sampling of spatially coherent forecasts. Requiring only a single forward pass per time step, Graph-EFM allows for fast generation of arbitrarily large ensembles. We experiment with the model on both global and limited area forecasting. Ensemble forecasts from Graph-EFM achieve equivalent or lower errors than comparable deterministic models, with the added benefit of accurately capturing forecast uncertainty.

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Cite this paper

@article{oskarsson2026probabilistic,
  title  = {Probabilistic Weather Forecasting with Hierarchical Graph Neural Networks},
  author = {Joel Oskarsson and Tomas Landelius and M. Deisenroth and Fredrik Lindsten},
  year   = {2026},
  eprint = {2406.04759},
  archivePrefix = {arXiv},
  doi    = {10.48550/arXiv.2406.04759},
  url    = {https://arxiv.org/abs/2406.04759},
  journal = {NEURIPS 2024 2024}
}

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