arXiv:2510.13301cs.LG2025-10

用校准框架提升扩散模型在气象降尺度中的不确定性估计可靠性

Km-scale dynamical downscaling through conformalized latent diffusion models

  • 将生成扩散模型与置信区间校准结合,实现局部自适应预测区间
  • 在意大利2公里网格上,不确定性覆盖率显著提升且概率评分更稳定
  • 适合需要可信概率输出的气象预报与可再生能源建模场景

动力降尺度对从粗分辨率模拟中获取高分辨率气象场至关重要,支持天气预报和可再生能源建模等关键应用。生成扩散模型(DMs)近期作为数据驱动工具被提出,具备重建保真度高、采样可扩展性好以及支持不确定性量化的优势。然而,现有扩散模型缺乏有限样本保证,导致网格点级不确定性估计过度自信,影响其在实际业务中的可靠性。本文通过引入置信区间校准框架,对扩散模型生成结果进行后处理,构建条件分位数估计,并融入校准化分位数回归方法,以实现具有有限样本边际有效性的局部自适应预测区间。该方法在欧洲再分析数据(ERA5)覆盖意大利区域、2公里网格的降尺度任务上进行评估。结果表明,相比基线扩散模型,本方法在网格点级不确定性估计上实现了显著提升的覆盖率和稳定的概率评分,验证了校准化生成模型在高分辨率气象场概率降尺度中的可信潜力。

原文摘要 · Abstract (English)

Dynamical downscaling is crucial for deriving high-resolution meteorological fields from coarse-scale simulations, enabling detailed analysis for critical applications such as weather forecasting and renewable energy modeling. Generative Diffusion models (DMs) have recently emerged as powerful data-driven tools for this task, offering reconstruction fidelity and more scalable sampling supporting uncertainty quantification. However, DMs lack finite-sample guarantees against overconfident predictions, resulting in miscalibrated grid-point-level uncertainty estimates hindering their reliability in operational contexts. In this work, we tackle this issue by augmenting the downscaling pipeline with a conformal prediction framework. Specifically, the DM's samples are post-processed to derive conditional quantile estimates, incorporated into a conformalized quantile regression procedure targeting locally adaptive prediction intervals with finite-sample marginal validity. The proposed approach is evaluated on ERA5 reanalysis data over Italy, downscaled to a 2-km grid. Results demonstrate grid-point-level uncertainty estimates with markedly improved coverage and stable probabilistic scores relative to the DM baseline, highlighting the potential of conformalized generative models for more trustworthy probabilistic downscaling to high-resolution meteorological fields.

气象降尺度扩散模型不确定性量化置信校准

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