mlsanityData to 14 Oct 2026

Scaling transformer neural networks for skillful and reliable medium-range weather forecasting

arXiv 2312.03876 ↗First posted 6 Dec 2023physics.ao-ph cs.AI cs.LGcited by 110

Not on the map. Why?

Abstract (arXiv)

Weather forecasting is a fundamental problem for anticipating and mitigating the impacts of climate change. Recently, data-driven approaches for weather forecasting based on deep learning have shown great promise, achieving accuracies that are competitive with operational systems. However, those methods often employ complex, customized architectures without sufficient ablation analysis, making it difficult to understand what truly contributes to their success. Here we introduce Stormer, a simple transformer model that achieves state-of-the-art performance on weather forecasting with minimal changes to the standard transformer backbone. We identify the key components of Stormer through careful empirical analyses, including weather-specific embedding, randomized dynamics forecast, and pressure-weighted loss. At the core of Stormer is a randomized forecasting objective that trains the model to forecast the weather dynamics over varying time intervals. During inference, this allows us to produce multiple forecasts for a target lead time and combine them to obtain better forecast accuracy. On WeatherBench 2, Stormer performs competitively at short to medium-range forecasts and outperforms current methods beyond 7 days, while requiring orders-of-magnitude less training data and compute. Additionally, we demonstrate Stormer's favorable scaling properties, showing consistent improvements in forecast accuracy with increases in model size and training tokens. Code and checkpoints are available at https://github.com/tung-nd/stormer.

Key facts. Cited by 110 papers in the map (data through 14 Oct 2026). Builds on 24 of its 50 references that are in the map. First posted on arXiv 6 Dec 2023.

Builds on

24 of 50 references.

References · 24

  1. 2017Attention Is All You Needcited by 60,361
  2. 2015Deep Residual Learning for Image Recognitioncited by 52,096
  3. 2014Adam: A Method for Stochastic Optimizationcited by 37,240
  4. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 30,186
  5. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  6. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
  7. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
  8. 2022Scalable Diffusion Models with Transformerscited by 6,054
  9. 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 6,013
  10. 2018Large Scale GAN Training for High Fidelity Natural Image Synthesiscited by 2,626
  11. 2017FiLM: Visual Reasoning with a General Conditioning Layercited by 2,333
  12. 2021Swin Transformer V2: Scaling Up Capacity and Resolutioncited by 1,228
12 more
  1. 2022FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operatorscited by 776
  2. 2023ClimaX: A foundation model for weather and climatecited by 337
  3. 2020WeatherBench: A benchmark dataset for data-driven weather forecastingcited by 275
  4. 2023FuXi: A cascade machine learning forecasting system for 15-day global weather forecastcited by 241
  5. 2023Neural General Circulation Models for Weather and Climatecited by 239
  6. 2023WeatherBench 2: A benchmark for the next generation of data-driven global weather modelscited by 236
  7. 2023FengWu: Pushing the Skillful Global Medium-range Weather Forecast beyond 10 Days Leadcited by 175
  8. 2022Forecasting Global Weather with Graph Neural Networkscited by 168
  9. 2020MetNet: A Neural Weather Model for Precipitation Forecastingcited by 131
  10. 2020Improving data-driven global weather prediction using deep convolutional neural networks on a cubed spherecited by 96
  11. 2023Deep Learning for Day Forecasts from Sparse Observationscited by 72
  12. 2021Combining distribution-based neural networks to predict weather forecast probabilitiescited by 18

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 1; 2024: 36; 2025: 38; 2026: 35.

110 papers.

Sort:

By area:

  1. 2023GenCast: Diffusion-based ensemble forecasting for medium-range weathercited by 177
  2. 2024Mamba-ND: Selective State Space Modeling for Multi-Dimensional Datacited by 84
  3. 2024Kolmogorov-Arnold Network for Satellite Image Classification in Remote Sensingcited by 47
  4. 2024ChaosBench: A Multi-Channel, Physics-Based Benchmark for Subseasonal-to-Seasonal Climate Predictioncited by 43
  5. 2024On the Foundations of Earth and Climate Foundation Modelscited by 33
  6. 2024Prithvi WxC: Foundation Model for Weather and Climatecited by 31
  7. 2024Probabilistic Weather Forecasting with Hierarchical Graph Neural Networkscited by 30
  8. 2024Continuous Ensemble Weather Forecasting with Diffusion modelscited by 30
  9. 2024Foundation Models for the Electric Power Gridcited by 28
  10. 2024Uncertainty quantification for data-driven weather modelscited by 26
  11. 2024Generalizing Weather Forecast to Fine-grained Temporal Scales via Physics-AI Hybrid Modelingcited by 23
  12. 2024WeatherQA: Can Multimodal Language Models Reason about Severe Weather?cited by 22
38 more
  1. 2024Probabilistic Emulation of a Global Climate Model with Spherical DYffusioncited by 21
  2. 2024Huge Ensembles Part I: Design of Ensemble Weather Forecasts using Spherical Fourier Neural Operatorscited by 18
  3. 2024ORBIT: Oak Ridge Base Foundation Model for Earth System Predictabilitycited by 17
  4. 2025Deep Learning and Foundation Models for Weather Prediction: A Surveycited by 16
  5. 2024Analyzing and Exploring Training Recipes for Large-Scale Transformer-Based Weather Predictioncited by 15
  6. 2026Demystifying Data-Driven Probabilistic Medium-Range Weather Forecastingcited by 15
  7. 2024Validating Deep Learning Weather Forecast Models on Recent High-Impact Extreme Eventscited by 14
  8. 2025Elucidated Rolling Diffusion Models for Probabilistic Forecasting of Complex Dynamicscited by 13
  9. 2025Swift: An Autoregressive Consistency Model for Efficient Weather Forecastingcited by 13
  10. 2025NeuralOM: Neural Ocean Model for Subseasonal-to-Seasonal Simulationcited by 12
  11. 2025OmniCast: A Masked Latent Diffusion Model for Weather Forecasting Across Time Scalescited by 12
  12. 2026U-Cast: A Surprisingly Simple and Efficient Frontier Probabilistic AI Weather Forecastercited by 12
  13. 2024Robustness of AI-based weather forecasts in a changing climatecited by 11
  14. 2024Weather Prediction with Diffusion Guided by Realistic Forecast Processescited by 10
  15. 2025Binned Spectral Power Loss for Improved Prediction of Chaotic Systemscited by 10
  16. 2025Zephyrus: An Agentic Framework for Weather Sciencecited by 10
  17. 2026Scaling Laws of Global Weather Modelscited by 9
  18. 2024EWMoE: An effective model for global weather forecasting with mixture-of-expertscited by 8
  19. 2024LifeGPT: Topology-Agnostic Generative Pretrained Transformer Model for Cellular Automatacited by 8
  20. 2024Exploring the design space of deep-learning-based weather forecasting systemscited by 8
  21. 2025Optimal Control for Transformer Architectures: Enhancing Generalization, Robustness and Efficiencycited by 8
  22. 2025AERIS: Argonne Earth Systems Model for Reliable and Skillful Predictionscited by 8
  23. 2025ARROW: An Adaptive Rollout and Routing Method for Global Weather Forecastingcited by 8
  24. 2026Earth System Foundation Model (ESFM): A unified framework for heterogeneous data integration and forecastingcited by 8
  25. 2025OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularizationcited by 7
  26. 2025Utilizing Strategic Pre-training to Reduce Overfitting: Baguan -- A Pre-trained Weather Forecasting Modelcited by 7
  27. 2025HRRRCast: a data-driven emulator for regional weather forecasting at convection allowing scalescited by 7
  28. 2025STCast: Adaptive Boundary Alignment for Global and Regional Weather Forecastingcited by 7
  29. 2024CaFA: Global Weather Forecasting with Factorized Attention on Spherecited by 6
  30. 2024ArchesWeather: An efficient AI weather forecasting model at 1.5deg resolutioncited by 6
  31. 2024VA-MoE: Variables-Adaptive Mixture of Experts for Incremental Weather Forecastingcited by 6
  32. 2025LaDCast: A Latent Diffusion Model for Medium-Range Ensemble Weather Forecastingcited by 6
  33. 2025Surya: Foundation Model for Heliophysicscited by 6
  34. 2024Defining error accumulation in ML atmospheric simulatorscited by 5
  35. 2024MetMamba: Regional Weather Forecasting with Spatial-Temporal Mamba Modelcited by 5
  36. 2024HR-Extreme: A High-Resolution Dataset for Extreme Weather Forecastingcited by 5
  37. 2025PEAR: Equal Area Weather Forecasting on the Spherecited by 5
  38. 2026(Sparse) Attention to the Details: Preserving Spectral Fidelity in ML-based Weather Forecasting Modelscited by 5

50 most cited of 110 All 110 (JSON)