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Main Authors: Xiong, Xinlei, Hu, Wenbo, Zhou, Shuxun, Bi, Kaifeng, Xie, Lingxi, Liu, Ying, Hong, Richang, Tian, Qi
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.14218
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author Xiong, Xinlei
Hu, Wenbo
Zhou, Shuxun
Bi, Kaifeng
Xie, Lingxi
Liu, Ying
Hong, Richang
Tian, Qi
author_facet Xiong, Xinlei
Hu, Wenbo
Zhou, Shuxun
Bi, Kaifeng
Xie, Lingxi
Liu, Ying
Hong, Richang
Tian, Qi
contents Weather forecasting is fundamentally challenged by the chaotic nature of the atmosphere, necessitating probabilistic approaches to quantify uncertainty. While traditional ensemble prediction (EPS) addresses this through computationally intensive simulations, recent advances in Bayesian Deep Learning (BDL) offer a promising but often disconnected alternative. We bridge these paradigms through a unified hybrid Bayesian Deep Learning framework for ensemble weather forecasting that explicitly decomposes predictive uncertainty into epistemic and aleatoric components, learned via variational inference and a physics-informed stochastic perturbation scheme modeling flow-dependent atmospheric dynamics, respectively. We further establish a unified theoretical framework that rigorously connects BDL and EPS, providing formal theorems that decompose total predictive uncertainty into epistemic and aleatoric components under the hybrid BDL framework. We validate our framework on the large-scale 40-year ERA5 reanalysis dataset (1979-2019) with 0.25° spatial resolution. Experimental results show that our method not only improves forecast accuracy and yields better-calibrated uncertainty quantification but also achieves superior computational efficiency compared to state-of-the-art probabilistic diffusion models. We commit to making our code open-source upon acceptance of this paper.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14218
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bridging the Gap Between Bayesian Deep Learning and Ensemble Weather Forecasts
Xiong, Xinlei
Hu, Wenbo
Zhou, Shuxun
Bi, Kaifeng
Xie, Lingxi
Liu, Ying
Hong, Richang
Tian, Qi
Machine Learning
Artificial Intelligence
Weather forecasting is fundamentally challenged by the chaotic nature of the atmosphere, necessitating probabilistic approaches to quantify uncertainty. While traditional ensemble prediction (EPS) addresses this through computationally intensive simulations, recent advances in Bayesian Deep Learning (BDL) offer a promising but often disconnected alternative. We bridge these paradigms through a unified hybrid Bayesian Deep Learning framework for ensemble weather forecasting that explicitly decomposes predictive uncertainty into epistemic and aleatoric components, learned via variational inference and a physics-informed stochastic perturbation scheme modeling flow-dependent atmospheric dynamics, respectively. We further establish a unified theoretical framework that rigorously connects BDL and EPS, providing formal theorems that decompose total predictive uncertainty into epistemic and aleatoric components under the hybrid BDL framework. We validate our framework on the large-scale 40-year ERA5 reanalysis dataset (1979-2019) with 0.25° spatial resolution. Experimental results show that our method not only improves forecast accuracy and yields better-calibrated uncertainty quantification but also achieves superior computational efficiency compared to state-of-the-art probabilistic diffusion models. We commit to making our code open-source upon acceptance of this paper.
title Bridging the Gap Between Bayesian Deep Learning and Ensemble Weather Forecasts
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.14218