mlsanityData to 7 Oct 2026

Uncertainty quantification for data-driven weather models

arXiv 2403.13458 ↗First posted 20 Mar 2024physics.ao-ph stat.AP stat.MLcited by 24

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Abstract (arXiv)

Artificial intelligence (AI)-based data-driven weather forecasting models have experienced rapid progress over the last years. Recent studies, with models trained on reanalysis data, achieve impressive results and demonstrate substantial improvements over state-of-the-art physics-based numerical weather prediction models across a range of variables and evaluation metrics. Beyond improved predictions, the main advantages of data-driven weather models are their substantially lower computational costs and the faster generation of forecasts, once a model has been trained. However, most efforts in data-driven weather forecasting have been limited to deterministic, point-valued predictions, making it impossible to quantify forecast uncertainties, which is crucial in research and for optimal decision making in applications. Our overarching aim is to systematically study and compare uncertainty quantification methods to generate probabilistic weather forecasts from a state-of-the-art deterministic data-driven weather model, Pangu-Weather. Specifically, we compare approaches for quantifying forecast uncertainty based on generating ensemble forecasts via perturbations to the initial conditions, with the use of statistical and machine learning methods for post-hoc uncertainty quantification. In a case study on medium-range forecasts of selected weather variables over Europe, the probabilistic forecasts obtained by using the Pangu-Weather model in concert with uncertainty quantification methods show promising results and provide improvements over ensemble forecasts from the physics-based ensemble weather model of the European Centre for Medium-Range Weather Forecasts for lead times of up to 5 days.

Key facts. Cited by 24 papers in the map (data through 7 Oct 2026). Builds on 22 of its 57 references that are in the map. First posted on arXiv 20 Mar 2024.

Builds on

22 of 57 references.

References · 22

  1. 2021A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantificationcited by 777
  2. 2022FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operatorscited by 748
  3. 2023ClimaX: A foundation model for weather and climatecited by 325
  4. 2022GraphCast: Learning skillful medium-range global weather forecastingcited by 261
  5. 2023FuXi: A cascade machine learning forecasting system for 15-day global weather forecastcited by 237
  6. 2023WeatherBench 2: A benchmark for the next generation of data-driven global weather modelscited by 227
  7. 2023FengWu: Pushing the Skillful Global Medium-range Weather Forecast beyond 10 Days Leadcited by 170
  8. 2023GenCast: Diffusion-based ensemble forecasting for medium-range weathercited by 169
  9. 2022Forecasting Global Weather with Graph Neural Networkscited by 165
  10. 2023Scaling transformer neural networks for skillful and reliable medium-range weather forecastingcited by 106
  11. 2018Neural networks for post-processing ensemble weather forecastscited by 95
  12. 2020Deep Learning for Post-Processing Ensemble Weather Forecastscited by 52
10 more
  1. 2023AtmoRep: A stochastic model of atmosphere dynamics using large scale representation learningcited by 35
  2. 2021Machine learning methods for postprocessing ensemble forecasts of wind gusts: A systematic comparisoncited by 34
  3. 2023SwinRDM: Integrate SwinRNN with Diffusion Model towards High-Resolution and High-Quality Weather Forecastingcited by 32
  4. 2019Isotonic Distributional Regressioncited by 28
  5. 2022Generative machine learning methods for multivariate ensemble post-processingcited by 26
  6. 2024A Practical Probabilistic Benchmark for AI Weather Modelscited by 25
  7. 2013Uncertainty Quantification in Complex Simulation Models Using Ensemble Copula Couplingcited by 21
  8. 2015Forecaster's Dilemma: Extreme Events and Forecast Evaluationcited by 20
  9. 2022ENS-10: A Dataset For Post-Processing Ensemble Weather Forecastscited by 13
  10. 2022Easy Uncertainty Quantification (EasyUQ): Generating Predictive Distributions from Single-valued Model Outputcited by 11

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 5; 2025: 15; 2026: 4.

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  1. 2024Probabilistic Weather Forecasting with Hierarchical Graph Neural Networkscited by 29
  2. 2024Huge Ensembles Part I: Design of Ensemble Weather Forecasts using Spherical Fourier Neural Operatorscited by 17
  3. 2025Probabilistic neural operators for functional uncertainty quantificationcited by 17
  4. 2025Deep Learning and Foundation Models for Weather Prediction: A Surveycited by 15
  5. 2024Validating Deep Learning Weather Forecast Models on Recent High-Impact Extreme Eventscited by 14
  6. 2025Diffusion-LAM: Probabilistic Limited Area Weather Forecasting with Diffusioncited by 11
  7. 2025An Axiomatic Assessment of Entropy- and Variance-based Uncertainty Quantification in Regressioncited by 9
  8. 2024CoDiCast: Conditional Diffusion Model for Global Weather Prediction with Uncertainty Quantificationcited by 5
  9. 2025Split Conformal Prediction in the Function Space with Neural Operatorscited by 4
  10. 2025Probabilistic measures afford fair comparisons of AIWP and NWP model outputcited by 3
  11. 2024Improving Model Chain Approaches for Probabilistic Solar Energy Forecasting through Post-processing and Machine Learningcited by 2
  12. 2025Graph Neural Networks for Enhancing Ensemble Forecasts of Extreme Rainfallcited by 2
12 more
  1. 2025Uncertainty Quantification for Regression: A Unified Framework based on kernel scorescited by 2
  2. 2025Learning low-dimensional representations of ensemble forecast fields using autoencoder-based methodscited by 1
  3. 2025Dual-Splitting Conformal Prediction for Multi-Step Time Series Forecastingcited by 1
  4. 2025Improving Medium Range Severe Weather Prediction through Transformer Post-processing of AI Weather Forecastscited by 1
  5. 2025A Geometry-Aware AI Emulator for the Coupled Whole Atmosphere from Earth Surface to the Ionosphere and Thermospherecited by 1
  6. 2025On the Predictive Skill of Artificial Intelligence-based Weather Models for Extreme Events using Uncertainty Quantificationcited by 1
  7. 2025Statistical post-processing yields accurate probabilistic forecasts from Artificial Intelligence weather modelscited by 0
  8. 2025Breaking the Statistical Similarity Trap in Extreme Convection Detectioncited by 0
  9. 2026Efficient Credal Prediction through Decalibrationcited by 0
  10. 2026Can Deep Generative Models Reproduce Non-Stationary Gaussian Random Fields?cited by 0
  11. 2026Uncertainty-Aware End-to-End AI Weather Forecasting: Disentangling Observation and Model Contributionscited by 0
  12. 2026Butterfly Effect and the Kinetic Energy Cascade in Probabilistic Machine Learning Weather Prediction Modelscited by 0