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Issuing timely severe weather warnings helps mitigate potentially disastrous consequences. Recent advancements in Neural Weather Models (NWMs) offer a computationally inexpensive and fast approach for forecasting atmospheric environments on…

Atmospheric and Oceanic Physics · Physics 2025-08-22 Antoine Leclerc , Erwan Koch , Monika Feldmann , Daniele Nerini , Tom Beucler

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…

Machine Learning · Computer Science 2025-11-19 Xinlei Xiong , Wenbo Hu , Shuxun Zhou , Kaifeng Bi , Lingxi Xie , Ying Liu , Richang Hong , Qi Tian

While numerical weather prediction (NWP) models are essential for forecasting thunderstorms hours in advance, NWP uncertainty, which increases with lead time, limits the predictability of thunderstorm occurrence. This study investigates how…

Atmospheric and Oceanic Physics · Physics 2025-02-20 Kianusch Vahid Yousefnia , Tobias Bölle , Christoph Metzl

Recently, all major weather centres issue ensemble forecasts which even covering the same domain differ both in the ensemble size and spatial resolution. These two parameters highly determine both the forecast skill of the prediction and…

Applications · Statistics 2023-10-26 Marianna Szabó , Estíbaliz Gascón , Sándor Baran

This paper presents two algorithms for calculating an ensemble of solutions to laminar natural convection problems. The ensemble average is the most likely temperature distribution and its variance gives an estimate of prediction…

Numerical Analysis · Mathematics 2017-08-03 Joseph A. Fiordilino , Sarah Khankan

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

Applications · Statistics 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

Weather forecasting is mostly based on the outputs of deterministic numerical weather forecasting models. Multiple runs of these models with different initial conditions result in forecast ensembles which is are used for estimating the…

Applications · Statistics 2015-07-21 Sándor Baran , András Horányi , Dóra Nemoda

Most of the methods that produce space weather forecasts are based on deterministic models. In order to generate a probabilistic forecast, a model needs to be run several times sampling the input parameter space, in order to generate an…

Space Physics · Physics 2019-05-01 Enrico Camporeale , Xiangning Chu , Oleksiy Agapitov , Jacob Bortnik

In this article, we have proposed several approaches for post processing a large ensemble of prediction models or rules. The results from our simulations show that the post processing methods we have considered here are promising. We have…

Machine Learning · Statistics 2015-03-19 Deniz Akdemir

In this paper, we introduce a nonparametric end-to-end method for probabilistic forecasting of distributed renewable generation outputs while including missing data imputation. Firstly, we employ a nonparametric probabilistic forecast model…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Minghui Chen , Zichao Meng , Yanping Liu , Longbo Luo , Ye Guo , Kang Wang

Nowadays, weather forecasts are commonly generated by ensemble forecasts based on multiple runs of numerical weather prediction models. However, such forecasts are usually miscalibrated and/or biased, thus require statistical…

Applications · Statistics 2024-12-13 David Jobst

Power systems face increasing challenges in maintaining resource adequacy due to lower operating margins, rising renewable energy uncertainty, and demand variability. Forecasting the probability distribution of peak demand on shorter…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Buyi Yu , Wenyuan Tang

Critical decisions frequently rely on high-dimensional output from complex computer simulation models that show intricate cross-variable, spatial and temporal dependence structures, with weather and climate predictions being key examples.…

Methodology · Statistics 2013-12-24 Roman Schefzik , Thordis L. Thorarinsdottir , Tilmann Gneiting

Ensembles of forecasts are obtained from multiple runs of numerical weather forecasting models with different initial conditions and typically employed to account for forecast uncertainties. However, biases and dispersion errors often occur…

Methodology · Statistics 2015-12-23 Sándor Baran , Sebastian Lerch

In the field of numerical weather prediction (NWP), the probabilistic distribution of the future state of the atmosphere is sampled with Monte-Carlo-like simulations, called ensembles. These ensembles have deficiencies (such as conditional…

Applications · Statistics 2020-05-08 Michaël Zamo , Liliane Bel , Olivier Mestre

The Analog Ensemble (AnEn) method tries to estimate the probability distribution of the future state of the atmosphere with a set of past observations that correspond to the best analogs of a deterministic Numerical Weather Prediction…

Machine Learning · Computer Science 2019-09-30 Alessandro Fanfarillo , Behrooz Roozitalab , Weiming Hu , Guido Cervone

Combining forecasts from multiple experts often yields more accurate results than relying on a single expert. In this paper, we introduce a novel regularized ensemble method that extends the traditional linear opinion pool by leveraging…

Applications · Statistics 2026-02-13 Han Su , Xiaojia Guo , Xiaoke Zhang

Accurate regional ocean forecasting requires models that are both computationally efficient and capable of representing predictive uncertainty. This work investigates ensemble learning strategies for sea surface temperature (SST)…

Machine Learning · Computer Science 2026-03-09 Alejandro J. González-Santana , Giovanny A. Cuervo-Londoño , Javier Sánchez

Probabilistic electricity price forecasting (PEPF) is subject of increasing interest, following the demand for proper quantification of prediction uncertainty, to support the operation in complex power markets with increasing share of…

Machine Learning · Computer Science 2024-06-11 Alessandro Brusaferri , Andrea Ballarino , Luigi Grossi , Fabrizio Laurini

Space weather indices are used commonly to drive forecasts of thermosphere density, which directly affects objects in low-Earth orbit (LEO) through atmospheric drag. One of the most commonly used space weather proxies, $F_{10.7 cm}$,…

Space Physics · Physics 2023-06-06 Joshua D. Daniell , Piyush M. Mehta
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