Searcharxiv⌕ Search

arXiv · 2610.11211

Event-Aware Spatiotemporal Precipitation Forecasting with Geographic Context and Physics-Guided Regularization

Abstract

Hourly precipitation forecasting involves several distinct statistical challenges, including spatially varying predictor-precipitation relationships, a strongly imbalanced precipitation distribution, and progressive degradation of precipitation event skill with increasing lead time. We develop a spatiotemporal forecasting framework that addresses these challenges through three complementary components: explicit geographic representation, event-aware learning for imbalanced precipitation, and weak asymmetric regularization derived from the atmospheric water budget. The physical information is treated as an asymmetric constraint rather than as an additional prediction target, designed to discourage physically unsupported precipitation attenuation without replacing the data-driven forecast. Experiments using ERA5 data across regional, enlarged domain, and spatial subset settings show that explicit geographic information improves spatial field prediction, while event-aware learning provides the most consistent gains in detecting moderate and heavy precipitation events. Physical regularization has a more selective effect, mainly reducing systematic underprediction over the enlarged domain while improving longer lead precipitation event prediction in the spatial subset experiment. These results indicate that the benefit of physical guidance depends on the available data regime and becomes most apparent when data-driven precipitation information deteriorates with increasing lead time.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Yiping Hong, Xinyu Wang, Sameh Abdulah. 2026-10-08. Event-Aware Spatiotemporal Precipitation Forecasting with Geographic Context and Physics-Guided Regularization. https://arxiv.org/abs/2610.11211

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

BayesJudge: Uncertainty-Aware Bayesian Meta-Evaluation of Human and LLM Judgments

AI evaluation pipelines often produce conflicting judgments rather than clean labels. In pairwise LLM evaluation, this conflict is especially visible: disagreement can arise from ambiguous items, underspecified rubrics, heterogeneous or unstable human raters, or an LLM judge whose verdict changes when the response order is swapped. We propose BayesJudge, an online Bayesian meta-evaluation layer for conflicting human-LLM judgment streams. For each comparison, BayesJudge estimates a panel-relative posterior verdict distribution over the two responses, with a tie or ambiguity state when such labels are available. At the same time, it estimates rater-specific human confusion matrices and LLM presentation-order bias. The method uses tie-open labels to keep ambiguity observable and paired order-swapped judge calls to separate response quality from presentation effects. We formulate the exact online posterior recursion and use a scalable Rao-Blackwellized assumed-density SMC approximation for streaming inference. Controlled synthetic experiments demonstrate recovery of prespecified evaluator parameters and illustrate two protocol-level identifiability mechanisms: tie-open labels expose ambiguity mass, and order-swapped paired judgments separate item preference from position bias. On a real-world SummEval dataset, BayesJudge successfully detects systematic presentation-order effects in LLM judge outputs, infers distinct expert and crowdworker behavior signatures without rater metadata, and produces posterior uncertainty estimates that correlate with human disagreement. Our code is available at https://anonymous.4open.science/r/BayesJudge-0879.

stat.AP↗

Opponent-Adjusted Evaluation of NFL Pass Protection and Pass Rush

Evaluating NFL pass protectors and rushers is difficult because observed win rates reflect both player performance and the difficulty of the blocking assignments each player faces. Using Hudl player coordinates and blocking annotations from the 2021 NFL regular season, we estimate blocker and rusher strength jointly from initial blocking matchups. A ridge-regularized Bradley--Terry model uses early pass rush wins and losses within 2.5 seconds of the snap, while a multinomial extension models full-play losses, wins, pressures, and sacks. To summarize full-play performance, we use the outcomes' conditional associations with offensive expected points added (EPA) to weight predicted probabilities, giving ratings of expected disruption produced by rushers or allowed by blockers. In held-out Weeks 16--18, the early and final models reduce log loss by 4.5% and 3.6%, respectively, relative to historical matchup baselines whose smoothing strengths are selected by cross-validation; 95% game-bootstrap intervals for both reductions are above zero. The resulting ratings place observed success in the context of opponents and protection help, with game-bootstrap intervals quantifying sampling uncertainty in early strength and full-play disruption.

stat.AP↗

LLM Benchmarking via Representation Multi-task Learning

Quantifying and evaluating the capabilities of Large Language Models (LLMs) remains a fundamental challenge in modern data science and artificial intelligence. In this paper, we consider LLM evaluation based on their performance across items in multiple benchmark domains (e.g., mathematical reasoning and coding) within a leaderboard framework. Our goal is to address two core questions: (1) How do we derive more accurate domain-specific scores by borrowing information across domains? and (2) How do we define and estimate an overall score that aggregates performance across multiple domains? To solve these problems, we propose a novel statistical framework based on representation Multi-task Learning (MTL) and an item response theory model. Specifically, we define overall and domain-specific LLM traits through an Item Response Theory (IRT) model, and propose an MTL approach to estimate these traits from item-level response data. We develop a computationally efficient estimator and establish its minimax optimality under certain asymptotic regimes. This framework provides a rigorous measurement foundation for systematic LLM evaluation. We conduct extensive simulations, demonstrating the superior performance of the proposed method over competing methods. Crucially for the Applications and Case Studies section, we apply the proposed framework to MMLU response data from the Hugging Face Open LLM Leaderboard, covering 4,272 LLMs and 13,232 items across 56 subjects. The empirical analysis reveals substantial heterogeneity in domain size and difficulty, together with strong positive cross-domain dependence, highlighting the practical value and substantive insights generated by our approach.

stat.AP↗