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Climate change is increasing the occurrence of extreme precipitation events, threatening infrastructure, agriculture, and public safety. Ensemble prediction systems provide probabilistic forecasts but exhibit biases and difficulties in…

Machine Learning · Computer Science 2025-04-09 Christopher Bülte , Sohir Maskey , Philipp Scholl , Jonas von Berg , Gitta Kutyniok

We propose an extension of the non-homogeneous Gaussian regression (NGR) model by Gneiting et al. (2005) that yields locally calibrated probabilistic forecasts of tem- perature, based on the output of an ensemble prediction system (EPS).…

Applications · Statistics 2014-04-29 Michael Scheuerer , Luca Büermann

Rainfall ensemble forecasts have to be skillful for both low precipitation and extreme events. We present statistical post-processing methods based on Quantile Regression Forests (QRF) and Gradient Forests (GF) with a parametric extension…

Machine Learning · Statistics 2019-06-07 Maxime Taillardat , Anne-Laure Fougères , Philippe Naveau , Olivier Mestre

Reliable forecasts of quasi-stationary, recurrent, and persistent large-scale atmospheric circulation patterns (weather regimes) are crucial for various socio-economic sectors. Despite steady progress, probabilistic weather regime…

Atmospheric and Oceanic Physics · Physics 2024-04-03 Fabian Mockert , Christian M. Grams , Sebastian Lerch , Marisol Osman , Julian Quinting

To quantify the uncertainty in numerical weather prediction (NWP) forecasts, ensemble prediction systems are utilized. Although NWP forecasts continuously improve, they suffer from systematic bias and dispersion errors. To obtain well…

Applications · Statistics 2026-01-30 Ferdinand Buchner , David Jobst , Annette Möller , Claudia Czado

We propose a method for post-processing an ensemble of multivariate forecasts in order to obtain a joint predictive distribution of weather. Our method utilizes existing univariate post-processing techniques, in this case ensemble Bayesian…

Applications · Statistics 2015-10-28 Annette Möller , Alex Lenkoski , Thordis L. Thorarinsdottir

In order to enable the transition towards renewable energy sources, probabilistic energy forecasting is of critical importance for incorporating volatile power sources such as solar energy into the electrical grid. Solar energy forecasting…

Applications · Statistics 2021-05-03 Benedikt Schulz , Mehrez El Ayari , Sebastian Lerch , Sándor Baran

Probabilistic forecasts in the form of ensemble of scenarios are required for complex decision making processes. Ensemble forecasting systems provide such products but the spatio-temporal structures of the forecast uncertainty is lost when…

Applications · Statistics 2016-12-21 Zied Ben Bouallegue , Tobias Heppelmann , Susanne E. Theis , Pierre Pinson

Today weather forecasting is conducted using numerical weather prediction (NWP) models, consisting of a set of differential equations describing the dynamics of the atmosphere. The output of such NWP models are single deterministic…

Applications · Statistics 2018-11-07 Annette Möller , Ludovica Spazzini , Daniel Kraus , Thomas Nagler , Claudia Czado

Weather prediction today is performed with numerical weather prediction (NWP) models. These are deterministic simulation models describing the dynamics of the atmosphere, and evolving the current conditions forward in time to obtain a…

Applications · Statistics 2020-03-18 Annette Möller , Jürgen Groß

All numerical weather prediction models used for the wind industry need to produce their forecasts starting from the main synoptic hours 00, 06, 12, and 18 UTC, once the analysis becomes available. The six-hour latency time between two…

Atmospheric and Oceanic Physics · Physics 2022-01-31 Gabriele Casciaro , Francesco Ferrari , Daniele Lagomarsino Oneto , Andrea Lira-Loarca , Andrea Mazzino

Accurate and reliable probabilistic forecasts of hydrological quantities like runoff or water level are beneficial to various areas of society. Probabilistic state-of-the-art hydrological ensemble prediction models are usually driven with…

Applications · Statistics 2020-01-17 Sándor Baran , Stephan Hemri , Mehrez El Ayari

High-resolution precipitation forecasts are crucial for providing accurate weather prediction and supporting effective responses to extreme weather events. Traditional numerical models struggle with stochastic subgrid-scale processes, while…

Machine Learning · Computer Science 2025-01-07 Shuangshuang He , Hongli Liang , Yuanting Zhang , Xingyuan Yuan

The issue of the accuracy of wind speed/power forecasts is becoming more and more important as wind power production continues to increase year after year. Having accurate forecasts for the energy market clashes with intrinsic difficulties…

Atmospheric and Oceanic Physics · Physics 2022-06-23 Gabriele Casciaro , Francesco Ferrari , Mattia Cavaiola , Andrea Mazzino

Ensemble prediction systems are an invaluable tool for weather forecasting. Practically, ensemble predictions are obtained by running several perturbations of the deterministic control forecast. However, ensemble prediction is associated…

Machine Learning · Computer Science 2023-02-22 Rüdiger Brecht , Alex Bihlo

The accurate prediction of precipitation is important to allow for reliable warnings of flood or drought risk in a changing climate. However, to make trust-worthy predictions of precipitation, at a local scale, is one of the most difficult…

Computation · Statistics 2021-02-26 Sherman Lo , Peter Watson , Peter Dueben , Ritabrata Dutta

Statistical post-processing of global ensemble weather forecasts is revisited by leveraging recent developments in machine learning. Verification of past forecasts is exploited to learn systematic deficiencies of numerical weather…

Atmospheric and Oceanic Physics · Physics 2023-10-23 Zied Ben-Bouallegue , Jonathan A Weyn , Mariana C A Clare , Jesper Dramsch , Peter Dueben , Matthew Chantry

Ensembles of forecasts are typically employed to account for the forecast uncertainties inherent in predictions of future weather states. However, biases and dispersion errors often present in forecast ensembles require statistical…

Methodology · Statistics 2015-07-21 Sándor Baran , Annette Möller

Accurate and reliable forecasting of photovoltaic (PV) power generation is crucial for grid operations, electricity markets, and energy planning, as solar systems now contribute a significant share of the electricity supply in many…

Applications · Statistics 2025-08-22 Martin János Mayer , Ágnes Baran , Sebastian Lerch , Nina Horat , Dazhi Yang , Sándor Baran

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

Atmospheric and Oceanic Physics · Physics 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch