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Beyond MSE: Improving Precipitation Nowcasting with Multi-Quantile Regression

arXiv 2605.30122 ↗First posted 28 May 2026cs.LG cs.AIcited by 0

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Abstract (arXiv)

Deep-learning precipitation nowcasting models are often optimized using pointwise losses such as mean squared error or mean absolute error, which can lead to overly smooth forecasts and poor representation of heavy rainfall. This study investigates whether the predictive performance of an established deterministic nowcasting architecture can be improved by reformulating training as a multi-quantile regression problem. Using SmaAt-UNet as a core model, we compare MSE, MAE, and multi-quantile pinball-loss training on radar precipitation nowcasting over the Netherlands. The results show that multi-quantile training improves the central deterministic forecast, decreasing test-set MSE by 8.6% compared to a model trained using MSE, while also producing upper-quantile outputs that are useful for risk-sensitive prediction of heavy precipitation. These findings suggest that quantile regression provides a simple alternative to standard pointwise losses without requiring a new architecture or generative sampling procedure. The implementation of our models and training setup is available on hrefhttps://github.com/gijsvn/Multi-Quantile-Precipitation-NowcastingGitHub.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 13 of its 28 references that are in the map. First posted on arXiv 28 May 2026.

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References · 13

  1. 2015Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcastingcited by 1,428
  2. 2021Skillful Precipitation Nowcasting using Deep Generative Models of Radarcited by 308
  3. 2017Deep Learning for Precipitation Nowcasting: A Benchmark and A New Modelcited by 180
  4. 2020MetNet: A Neural Weather Model for Precipitation Forecastingcited by 128
  5. 2018Neural networks for post-processing ensemble weather forecastscited by 95
  6. 2020SmaAt-UNet: Precipitation Nowcasting using a Small Attention-UNet Architecturecited by 71
  7. 2023Latent diffusion models for generative precipitation nowcasting with accurate uncertainty quantificationcited by 53
  8. 2021Broad-UNet: Multi-scale feature learning for nowcasting taskscited by 25
  9. 2022AA-TransUNet: Attention Augmented TransUNet For Nowcasting Taskscited by 22
  10. 2021Deep Graph Convolutional Networks for Wind Speed Predictioncited by 19
  11. 2020Wind speed prediction using multidimensional convolutional neural networkscited by 17
  12. 2020Deep coastal sea elements forecasting using U-Net based modelscited by 14
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  1. 2022Effective Training Strategies for Deep-learning-based Precipitation Nowcasting and Estimationcited by 10

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