mlsanityData to 7 Oct 2026

FengWu-4DVar: Coupling the Data-driven Weather Forecasting Model with 4D Variational Assimilation

arXiv 2312.12455 ↗First posted 16 Dec 2023physics.ao-ph cs.AI cs.LGcited by 22

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Abstract (arXiv)

Weather forecasting is a crucial yet highly challenging task. With the maturity of Artificial Intelligence (AI), the emergence of data-driven weather forecasting models has opened up a new paradigm for the development of weather forecasting systems. Despite the significant successes that have been achieved (e.g., surpassing advanced traditional physical models for global medium-range forecasting), existing data-driven weather forecasting models still rely on the analysis fields generated by the traditional assimilation and forecasting system, which hampers the significance of data-driven weather forecasting models regarding both computational cost and forecasting accuracy. In this work, we explore the possibility of coupling the data-driven weather forecasting model with data assimilation by integrating the global AI weather forecasting model, FengWu, with one of the most popular assimilation algorithms, Four-Dimensional Variational (4DVar) assimilation, and develop an AI-based cyclic weather forecasting system, FengWu-4DVar. FengWu-4DVar can incorporate observational data into the data-driven weather forecasting model and consider the temporal evolution of atmospheric dynamics to obtain accurate analysis fields for making predictions in a cycling manner without the help of physical models. Owning to the auto-differentiation ability of deep learning models, FengWu-4DVar eliminates the need of developing the cumbersome adjoint model, which is usually required in the traditional implementation of the 4DVar algorithm. Experiments on the simulated observational dataset demonstrate that FengWu-4DVar is capable of generating reasonable analysis fields for making accurate and efficient iterative predictions.

Key facts. Cited by 22 papers in the map (data through 7 Oct 2026). Builds on 11 of its 31 references that are in the map. First posted on arXiv 16 Dec 2023.

Builds on

11 of 31 references.

References · 11

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  2. 2022FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operatorscited by 748
  3. 2020WeatherBench: A benchmark dataset for data-driven weather forecastingcited by 272
  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. 2023FengWu: Pushing the Skillful Global Medium-range Weather Forecast beyond 10 Days Leadcited by 170
  7. 2020Combining data assimilation and machine learning to emulate a dynamical model from sparse and noisy observations: a case study with the Lorenz 96 modelcited by 72
  8. 2020Using machine learning to correct model error in data assimilation and forecast applicationscited by 40
  9. 2020Learning Variational Data Assimilation Models and Solverscited by 36
  10. 2021Latent Space Data Assimilation by using Deep Learningcited by 29
  11. 2021Attention-based Convolutional Autoencoders for 3D-Variational Data Assimilationcited by 15

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 1; 2024: 12; 2025: 3; 2026: 6.

22 papers.

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  1. 2024Generalizing Weather Forecast to Fine-grained Temporal Scales via Physics-AI Hybrid Modelingcited by 23
  2. 2023Towards an end-to-end artificial intelligence driven global weather forecasting systemcited by 20
  3. 2024Data driven weather forecasts trained and initialised directly from observationscited by 19
  4. 2025Appa: Bending Weather Dynamics with Latent Diffusion Models for Global Data Assimilationcited by 17
  5. 2025Deep Learning and Foundation Models for Weather Prediction: A Surveycited by 15
  6. 2024WeatherReal: A Benchmark Based on In-Situ Observations for Evaluating Weather Modelscited by 8
  7. 2024Improving Global Weather and Ocean Wave Forecast with Large Artificial Intelligence Modelscited by 5
  8. 2024OMG-HD: A High-Resolution AI Weather Model for End-to-End Forecasts from Observationscited by 5
  9. 20244D-Var using Hessian approximation and backpropagation applied to automatically-differentiable numerical and machine learning modelscited by 4
  10. 2024Gridded Transformer Neural Processes for Large Unstructured Spatio-Temporal Datacited by 4
  11. 2024Automatic Differentiation-based Full Waveform Inversion with Flexible Workflowscited by 4
  12. 2024Benchmarking AI-based data assimilation to advance data-driven global weather forecastingcited by 3
10 more
  1. 2024VAE-Var: Variational-Autoencoder-Enhanced Variational Assimilationcited by 2
  2. 2026TianJi:An autonomous AI meteorologist for discovering physical mechanisms in atmospheric sciencecited by 2
  3. 2024Ensemble data assimilation to diagnose AI-based weather prediction model: A case with ClimaX version 0.3.1cited by 1
  4. 2024Long-time accuracy of ensemble Kalman filters for chaotic and machine-learned dynamical systemscited by 1
  5. 2025Thompson Sampling in Function Spaces via Neural Operatorscited by 1
  6. 2026Earth-o1: A Grid-free Observation-native Atmospheric World Modelcited by 1
  7. 2026ADDA: a Modular Framework for Representing, Simulating and Assimilating Dynamics with End-to-end Differentiabilitycited by 1
  8. 2026FlowDA: Accurate, Low-Latency Weather Data Assimilation via Flow Matchingcited by 0
  9. 2026Station2Radar: query conditioned gaussian splatting for precipitation fieldcited by 0
  10. 2026RealBench: Benchmarking Data-Driven Numerical Weather Forecasting Under Operational Conditions and Extreme Event Challengescited by 0