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Statistical postprocessing is used to translate ensembles of raw numerical weather forecasts into reliable probabilistic forecast distributions. In this study, we examine the use of permutation-invariant neural networks for this task. In…

Machine Learning · Statistics 2024-01-22 Kevin Höhlein , Benedikt Schulz , Rüdiger Westermann , Sebastian Lerch

The assessment of the high-resolution ensemble weather prediction system COSMO-DE-EPS is achieved with the perspective of using it for renewable energy applications. The performance of the ensemble forecast is explored focusing on global…

Atmospheric and Oceanic Physics · Physics 2015-10-05 Zied Ben Bouallegue

Ensemble learning is traditionally justified as a variance-reduction strategy, explaining its strong performance for unstable predictors such as decision trees. This explanation, however, does not account for ensembles constructed from…

Machine Learning · Statistics 2025-12-30 Ernest Fokoué

Accumulated precipitation forecasts are of high socioeconomic importance for agriculturally dominated societies in northern tropical Africa. In this study, we analyze the performance of nine operational global ensemble prediction systems…

Applications · Statistics 2017-08-16 Peter Vogel , Peter Knippertz , Andreas H. Fink , Andreas Schlueter , Tilmann Gneiting

In the context of an increasing popularity of data-driven models to represent dynamical systems, many machine learning-based implementations of the Koopman operator have recently been proposed. However, the vast majority of those works are…

Machine Learning · Computer Science 2024-03-14 Anthony Frion , Lucas Drumetz , Guillaume Tochon , Mauro Dalla Mura , Albdeldjalil Aïssa El Bey

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

Weather forecasting remains a crucial yet challenging domain, where recently developed models based on deep learning (DL) have approached the performance of traditional numerical weather prediction (NWP) models. However, these DL models,…

Atmospheric and Oceanic Physics · Physics 2024-02-13 Zhanxiang Hua , Yutong He , Chengqian Ma , Alexandra Anderson-Frey

Ensemble forecast based on physics-informed models is one of the most widely used forecast algorithms for complex turbulent systems. A major difficulty in such a method is the model error that is ubiquitous in practice. Data-driven machine…

Atmospheric and Oceanic Physics · Physics 2021-11-24 Nan Chen , Yingda Li

The solar wind speed at Earth is one of the most important parameters regarding the effects of space weather on society. Thus far, most approaches for predicting the solar wind speed produce a single-value time series without uncertainty,…

Solar and Stellar Astrophysics · Physics 2026-03-13 Daniel E. da Silva , Yash Parlikar , Shaela I. Jones , Charles N. Arge

The gaussian spread regression model for the calibration of site specific ensemble temperature forecasts depends on the apparently restrictive assumption that the uncertainty around temperature forecasts is normally distributed. We…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Forecast ensembles are typically employed to account for prediction uncertainties in numerical weather prediction models. However, ensembles often exhibit biases and dispersion errors, thus they require statistical post-processing to…

Applications · Statistics 2017-03-09 Sándor Baran , Annette Möller

Machine learning methods have been shown to be effective for weather forecasting, based on the speed and accuracy compared to traditional numerical models. While early efforts primarily concentrated on deterministic predictions, the field…

Machine Learning · Computer Science 2025-04-11 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Normal mean-variance mixture distributions are widely applied to simplify a model's implementation and improve their computational efficiency under the Maximum Likelihood (ML) approach. Especially for distributions with normal mean-variance…

Methodology · Statistics 2015-06-18 Thanakorn Nitithumbundit , Jennifer S. K. Chan

This papers proposes a generic, high-level methodology for generating forecast combinations that would deliver the optimal linearly combined forecast in terms of the mean-squared forecast error if one had access to two population…

Methodology · Statistics 2023-09-01 Elliot Beck , Damian Kozbur , Michael Wolf

The CMIP3 multi-model ensemble spread most likely underestimates the real model uncertainty in future climate predictions because of the similarity, and shared defects, of the models in the ensemble. To generate an appropriate level of…

Atmospheric and Oceanic Physics · Physics 2009-09-11 Stephen Jewson , Ed Hawkins

The future energy system will largely depend on volatile renewable energy sources and temperature-dependent loads, which makes the weather a central influencing factor. This article presents a novel approach for simulating weather scenarios…

Systems and Control · Electrical Eng. & Systems 2024-05-31 Jan Peper , David Kröger , Jonathan Kipp , Florian Ziel , Christian Rehtanz

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

Applications · Statistics 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

Multilevel Monte Carlo can efficiently compute statistical estimates of discretized random variables, for a given error tolerance. Traditionally, only a certain statistic is computed from a particular implementation of multilevel Monte…

Methodology · Statistics 2017-08-02 Alastair Gregory , Colin Cotter

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Climate models struggle to accurately simulate precipitation, particularly extremes and the diurnal cycle. Here, we present a hybrid model that is trained directly on satellite-based precipitation observations. Our model runs at 2.8$^\circ$…

Atmospheric and Oceanic Physics · Physics 2024-12-17 Janni Yuval , Ian Langmore , Dmitrii Kochkov , Stephan Hoyer
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