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