Learning joint probabilistic weather forecasts from station observations alone

📅 2026-10-07
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🤖 AI Summary
This study addresses the challenge of generating joint probabilistic weather forecasts with inter-variable dependencies using only station observations to assess compound meteorological risks. To this end, we propose CLARA, a lightweight, CPU-friendly architecture comprising approximately 28,000 parameters. By leveraging a calibrated advection-routing attention mechanism, CLARA directly learns joint Gaussian predictive distributions for five surface variables from station data without requiring numerical weather predictions or reanalysis products. Furthermore, we develop a consistent covariance scale estimator and demonstrate that neglecting inter-variable correlations significantly degrades negative log-likelihood performance. Experiments across ten global regions reveal that CLARA reduces energy scores by 4.9%–65% relative to baselines, outperforming the persistence baseline in all 60 comparisons and a comparable-scale model in 57 instances.
📝 Abstract
Assessing compound weather risks requires forecasts representing dependence between variables. CLARA (Calibrated Advection-Routing Attention) learns joint Gaussian predictive distributions of five surface variables from station observations alone, without numerical weather prediction or reanalysis; the approximately 28,000-parameter model supports CPU training and prediction. Across six multi-year folds on 96 stations, its lead-mean energy score is 4.9% lower than that of a learned comparator with matched temporal inputs (4.7% with a similar parameter count) and 11-65% lower than those of statistical baselines. Holding marginal variances fixed, removing learned correlations worsens joint negative log-likelihood by 1.0-2.8 nats per station. A covariance-scale estimator, proved consistent under stated assumptions, improves short-lead calibration but over-corrects at long leads. Synthetic interventions show an attention-bias coefficient alone does not measure forecast influence. Retrained in ten regions on six continents, CLARA outperforms persistence in all 60 multi-year region-lead comparisons and a similarly sized learned model in 57 of 60.
Problem

Research questions and friction points this paper is trying to address.

joint probabilistic weather forecasting
compound weather risks
station observations
multivariate dependence
Innovation

Methods, ideas, or system contributions that make the work stand out.

joint probabilistic forecasting
attention mechanism
lightweight model
covariance-scale estimator
station observations
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C
Chaeyeon Yi
Research Center for Atmospheric Environment, Hankuk University of Foreign Studies, Yongin 17035, Republic of Korea
Y
Yun Am Seo
Department of Data Science, Jeju National University, Jeju 63243, Republic of Korea