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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, Christopher Roberts, Rilwan Adewoyin, Zied Ben Bouallègue, Matthew Chantry, Jesper Dramsch, Peter D. Dueben, Sara Hahner, Pedro Maciel, Ana Prieto-Nemesio, Cathal O’Brien, Florian Pinault, Jan Polster, Baudouin Raoult, Steffen Tietsche, Martin Leutbecher

2026npj Artificial Intelligence6 citationsDOIOpen Access PDF

Abstract

Abstract Ensemble weather forecasts provide a probabilistic description of the future state of the atmosphere and give users flow-dependent estimates of forecast uncertainty. Here, we introduce AIFS-CRPS, an ensemble variant of the machine-learned Artificial Intelligence Forecasting System (AIFS) developed at ECMWF. Its loss function is the almost fair Continuous Ranked Probability Score (afCRPS). It is based on a proper score, the CRPS, but approximately removes the bias in the score due to finite ensemble size yet avoids a degeneracy of the fair CRPS. The trained model is stochastic and can generate as many exchangeable members as desired. For medium-range forecasts AIFS-CRPS outperforms the physics-based Integrated Forecasting System (IFS) ensemble for the majority of variables and lead times. For subseasonal forecasts, AIFS-CRPS outperforms the IFS ensemble before calibration and is competitive with the IFS ensemble when forecasts are evaluated as anomalies to remove the influence of model biases.

Topics & Concepts

Ensemble forecastingProbabilistic logicProbabilistic forecastingCalibrationForecast skillEnsemble learningEnsemble averageProbability distributionFunction (biology)Computer scienceStatisticsMathematicsScoring ruleStatistical ensembleWeather forecastingArtificial intelligenceForecast verificationBootstrap aggregatingEconometricsWeather predictionNumerical weather predictionStatistical modelCumulative distribution functionScoreProbability density functionMachine learningMeteorological Phenomena and SimulationsClimate variability and modelsTropical and Extratropical Cyclones Research