GB-DM: Grey-Box Dynamic Matching for Weather Forecasting

arXiv GitHub

Introduced in the paper Variational Grey-Box Dynamics Matching, accepted at AISTATS 2026.

Authors: Gurjeet Sangra Singh, Frantzeska Lavda, Giangiacomo Mercatali, and Alexandros Kalousis.

This model is the monthly time embedding checkpoint of GB-DM (Grey-Box Dynamic Matching), a grey-box (physics-informed) deep learning model for medium-range weather forecasting.

If you are looking for an hourly climate model, refer to the Hourly HF model card.


Overview

GB-DM combines incomplete physics models with data-driven deep learning in a simulation-free framework inspired by Flow Matching. Rather than relying on expensive ODE solvers at training time, it learns to correct and augment a known physics prior using neural networks — enabling scalable, stable forecasting of high-dimensional atmospheric dynamics.

Key properties:

  • Physics-informed: integrates known atmospheric physics as a structural prior.
  • Simulation-free training: no ODE solvers needed during training.
  • ERA5-based: trained on WeatherBench ERA5 reanalysis data at 5.625° resolution.
  • This checkpoint uses monthly temporal embeddings.
  • Runs on mid-range GPUs (≥12 GB VRAM) with batch size 16–32.

Forecasted Variables

The model forecasts five meteorological variables from the ERA5 reanalysis dataset:

Variable Description
z500 Geopotential at 500 hPa
t2m 2-metre ground temperature
t850 Atmospheric temperature at 850 hPa
u10 Eastward wind component at 10 m
v10 Northward wind component at 10 m

Usage

This model was uploaded using the PyTorchModelHubMixin. To load and use it:

1. Install the package

git clone https://github.com/DMML-Geneva/VGB-DM
cd VGB-DM
pip install -e .

2. Load the model from the Hub

from src.grey_box_clim.fm_phys_func import Climate_GBDM_Monthly as GBDMModel # adjust import and alias

model = GBDMModel.from_pretrained("GurjeetSinghSangra/climate_GB_FM_Monthly")
model.eval()

3. Code and Model Usage

Please refer to the README - Climate Section for further details about training, evaluation and usage.

Citation

If you find this work useful, please cite:

@inproceedings{
  singh2026variational,
  title={Variational Grey-Box Dynamics Matching},
  author={Gurjeet Sangra Singh and Frantzeska Lavda and Giangiacomo Mercatali and Alexandros Kalousis},
  booktitle={The 29th International Conference on Artificial Intelligence and Statistics},
  year={2026},
  url={https://openreview.net/forum?id=NMuUPLBc84}
}

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