High-Resolution Probabilistic Data-Driven Weather Modeling with a Stretched-Grid
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Abstract (arXiv)
We present a probabilistic data-driven weather model providing ensembles of high spatial resolution realizations of 87 variables at arbitrary ensemble size and forecast length. The model uses a global stretched grid, dedicating 2.5 km resolution to our Nordic region of interest and 31 km resolution elsewhere, with 6-hour temporal resolution. Unique ensemble members are generated by a stochastic model architecture, and we train it using a loss function based on the Continuous Ranked Probability Score (CRPS) evaluated in grid-point and spectral space. The spectral loss component is shown to be necessary to create fields that are spatially coherent, which is not the case when training with mean-squared error loss, nor CRPS in grid-point space only. We evaluate the forecasts against observations from surface weather stations and compare them to high-resolution operational numerical weather prediction forecasts from the MetCoOp Ensemble Prediction System (MEPS). The model shows lower CRPS than MEPS for 2 m temperature and mean sea-level pressure, with average improvements of 13% and 10%, respectively, while differences for wind speed and precipitation are smaller. For Storm Dave, the model captures the location and structure of strong-wind systems, but underestimates the peak winds.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 16 of its 43 references that are in the map. First posted on arXiv 28 Nov 2025.
Builds on
16 of 43 references.
References · 16
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4 more
- 2025Diffusion-LAM: Probabilistic Limited Area Weather Forecasting with Diffusioncited by 11
- 2025EnScale: Temporally-consistent multivariate generative downscaling via proper scoring rulescited by 10
- 2025A multi-scale loss formulation for learning a probabilistic model with proper score optimisationcited by 6
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Citing papers per year: 2026: 9.
9 papers.
- 2026Probabilistic Retrofitting of Learned Simulatorscited by 7
- 2026(Sparse) Attention to the Details: Preserving Spectral Fidelity in ML-based Weather Forecasting Modelscited by 5
- 2026PDE foundation models are skillful AI weather emulators for the Martian atmospherecited by 2
- 2026Pointwise is Pointless? A Multimodal Ablation Study for Precipitation Nowcasting with Graph Neural Networkscited by 2
- 2026Bridging short- and medium-range weather forecasting with machine learningcited by 2
- 2026Njord: A Probabilistic Graph Neural Network for Ensemble Ocean Forecastingcited by 1
- 2026A Station-Based Evaluation of Machine Learning-based Weather Forecasting Models in Northern Norwaycited by 0
- 2026Varda-single-1.0: deterministic data-driven weather forecasting at 1 km resolution over Switzerland's complex topographycited by 0
- 2026Efficient Analog-Initialized Latent Transport for Spatially Coherent Probabilistic Downscaling from Global to Kilometer Scalescited by 0
- 2026Varda-single-1.0: deterministic data-driven weather forecasting at 1 km resolution over Switzerland's complex topography1 Oct 2026
- 2026Efficient Analog-Initialized Latent Transport for Spatially Coherent Probabilistic Downscaling from Global to Kilometer Scales15 Sep 2026
- 2026Bridging short- and medium-range weather forecasting with machine learning27 Aug 2026
- 2026A Station-Based Evaluation of Machine Learning-based Weather Forecasting Models in Northern Norway25 Aug 2026
- 2026Pointwise is Pointless? A Multimodal Ablation Study for Precipitation Nowcasting with Graph Neural Networks16 Jun 2026
- 2026Njord: A Probabilistic Graph Neural Network for Ensemble Ocean Forecasting14 May 2026
- 2026(Sparse) Attention to the Details: Preserving Spectral Fidelity in ML-based Weather Forecasting Models6 Apr 2026
- 2026Probabilistic Retrofitting of Learned Simulators2 Mar 2026
- 2026PDE foundation models are skillful AI weather emulators for the Martian atmosphere16 Feb 2026