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We assess the impact of a multi-scale loss formulation for training probabilistic machine-learned weather forecasting models. The multi-scale loss is tested in AIFS-CRPS, a machine-learned weather forecasting model developed at the European…

Atmospheric and Oceanic Physics · Physics 2025-06-13 Simon Lang , Martin Leutbecher , Pedro Maciel

Due to limited computational resources, medium-range temperature forecasts typically rely on low-resolution numerical weather prediction (NWP) models, which are prone to systematic and random errors. We propose a method that integrates a…

Atmospheric and Oceanic Physics · Physics 2026-04-09 Takuya Inoue , Takuya Kawabata

The transition from conventional methods of energy production to renewable energy production necessitates better prediction models of the upcoming supply of renewable energy. In wind power production, error in forecasting production is…

Machine Learning · Computer Science 2021-08-24 Alagappan Swaminathan , Venkatakrishnan Sutharsan , Tamilselvi Selvaraj

An ensemble post-processing method is developed to improve the probabilistic forecasts of extreme precipitation events across the conterminous United States (CONUS). The method combines a 3-D Vision Transformer (ViT) for bias correction…

Atmospheric and Oceanic Physics · Physics 2025-09-17 Yingkai Sha , Ryan A. Sobash , David John Gagne

This paper is dedicated to an efficient compression of weights and optimizer states (called checkpoints) obtained at different stages during a neural network training process. First, we propose a prediction-based compression approach, where…

Machine Learning · Computer Science 2025-06-16 Yuriy Kim , Evgeny Belyaev

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

Machine Learning · Computer Science 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

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

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

Fair scores reward ensemble forecast members that behave like samples from the same distribution as the verifying observations. They are therefore an attractive choice as loss functions to train data-driven ensemble forecasts or…

Atmospheric and Oceanic Physics · Physics 2026-02-18 Christopher David Roberts

Accurately predicting the wind power output of a wind farm across various time scales utilizing Wind Power Forecasting (WPF) is a critical issue in wind power trading and utilization. The WPF problem remains unresolved due to numerous…

Machine Learning · Computer Science 2025-01-29 Hongjin Song , Qianrun Chen , Tianqi Jiang , Yongfeng Li , Xusheng Li , Wenjun Xi , Songtao Huang

In this study, we present an improved formulation for the wake-added turbulence to enhance the accuracy of intra-farm and farm-to-farm wake modeling through analytical frameworks. Our goal is to address the tendency of a commonly used…

Fluid Dynamics · Physics 2024-12-11 Navid Zehtabiyan-Rezaie , Josephine Perto Justsen , Mahdi Abkar

Aiming to estimate extreme precipitation forecast quantiles, we propose a nonparametric regression model that features a constant extreme value index. Using local linear quantile regression and an extrapolation technique from extreme value…

Methodology · Statistics 2019-03-06 Jasper Velthoen , Juan-Juan Cai , Geurt Jongbloed , Maurice Schmeits

Physics parameterizations are often needed for numerical weather prediction (NWP) of precipitation forecast. This is mainly because the resolutions of most computational atmospheric models are not fine enough to explicitly resolve sub-grid…

Geophysics · Physics 2025-06-19 Khanh Hung Mai , Duc Le , Kazuo Saito , Tomizawa Futo , Yohei Sawada

Climate models are limited by heavy computational costs, often producing outputs at coarse spatial resolutions, while many climate change impact studies require finer scales. Statistical downscaling bridges this gap, and we adapt the…

Machine Learning · Computer Science 2025-11-06 Maryam Alipourhajiagha , Pierre-Louis Lemaire , Youssef Diouane , Julie Carreau

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

Machine Learning · Statistics 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

In this paper, we present results on improving out-of-domain weather prediction and uncertainty estimation as part of the \texttt{Shifts Challenge on Robustness and Uncertainty under Real-World Distributional Shift} challenge. We find that…

Machine Learning · Computer Science 2024-01-10 Sankalp Gilda , Neel Bhandari , Wendy Mak , Andrea Panizza

The generation of multi-step density forecasts for non-Gaussian data mostly relies on Monte Carlo simulations which are computationally intensive. Using aggregated wind power in Ireland, we study two approaches of multi-step density…

Applications · Statistics 2011-01-11 Ada Lau , Patrick McSharry

Accurate precipitation forecasts have a high socio-economic value due to their role in decision-making in various fields such as transport networks and farming. We propose a global statistical postprocessing method for grid-based…

Machine Learning · Statistics 2024-07-03 Romain Pic , Clément Dombry , Philippe Naveau , Maxime Taillardat

The wind power ramp events threaten the power grid safety significantly. To improve the ramp prediction accuracy, a hybrid wavelet deep belief network algorithm with adaptive feature selection (WDBNAFS) is proposed. First, the wind power…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Zhenhao Tang , Qingyu Meng , Shengxian Cao , Yang Li , Zhongha Mu , Xiaoya Pang

Weighted model counting (WMC) has emerged as a prevalent approach for probabilistic inference. In its most general form, WMC is #P-hard. Weighted DNF counting (weighted #DNF) is a special case, where approximations with probabilistic…

Artificial Intelligence · Computer Science 2020-01-31 Ralph Abboud , Ismail Ilkan Ceylan , Thomas Lukasiewicz