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20242026
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physics.ao-ph2026

On the sensitivity of machine-learned probabilistic weather forecast models to scale-aware scoring rules

Simon Lang, Martin Leutbecher, Sam Hatfield

Probabilistic forecast models can be machine-learned from data using loss functions based on scoring rules such as the Continuous Ranked Probability Score (CRPS). This note summari…

physics.ao-ph2026

Downscaling weather forecasts from Low- to High-Resolution with Diffusion Models

Joffrey Dumont Le Brazidec, Simon Lang, Martin Leutbecher +9

We introduce a probabilistic diffusion-based method for global atmospheric downscaling implemented within the Anemoi framework. The approach transforms low-resolution ensemble fore…

physics.ao-ph2025

A multi-scale loss formulation for learning a probabilistic model with proper score optimisation

Simon Lang, Martin Leutbecher, Pedro Maciel

We assess the impact of a multi-scale loss formulation for training probabilistic machine-learned weather forecasting models. The multi-scale loss is tested in AIFS-CRPS, a machine…

physics.ao-ph2025

Unbiased calculation, evaluation, and calibration of ensemble forecast anomalies

Christopher D. Roberts, Martin Leutbecher

Long-range ensemble forecasts are typically verified as anomalies with respect to a lead-time dependent climatological mean to remove the influence of systematic biases. However, c…

physics.ao-ph2024

AIFS-CRPS: Ensemble forecasting using a model trained with a loss function based on the Continuous Ranked Probability Score

Simon Lang, Mihai Alexe, Mariana C. A. Clare +15

Over the last three decades, ensemble forecasts have become an integral part of forecasting the weather. They provide users with more complete information than single forecasts as…