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Although by now the ensemble-based probabilistic forecasting is the most advanced approach to weather prediction, ensemble forecasts still might suffer from lack of calibration and/or display systematic bias, thus require some…

Applications · Statistics 2024-09-18 Ágnes Baran , Sándor Baran

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

Land-atmosphere coupling is an important process for correctly modelling near-surface temperature profiles, but it involves various uncertainties due to subgrid-scale processes, such as turbulent fluxes or unresolved surface…

Atmospheric and Oceanic Physics · Physics 2025-09-16 Laura Mack , Marvin Kähnert , Norbert Pirk

A new probabilistic post-processing method for wind vectors is presented in a distributional regression framework employing the bivariate Gaussian distribution. In contrast to previous studies all parameters of the distribution are…

Applications · Statistics 2019-07-26 Moritz N. Lang , Georg J. Mayr , Reto Stauffer , Achim Zeileis

This paper investigates the cross-correlations across multiple climate model errors. We build a Bayesian hierarchical model that accounts for the spatial dependence of individual models as well as cross-covariances across different climate…

Applications · Statistics 2012-03-02 Huiyan Sang , Mikyoung Jun , Jianhua Z. Huang

Accurate and reliable electricity load forecasts are becoming increasingly important as the share of intermittent resources in the system increases. Distribution System Operators (DSOs) are called to accurately forecast their production and…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Pål Forr Austnes , Celia García-Pareja , Fabio Nobile , Mario Paolone

Accurate uncertainty measurement is a key step to building robust and reliable machine learning systems. Conformal prediction is a distribution-free uncertainty quantification algorithm popular for its ease of implementation, statistical…

Machine Learning · Computer Science 2024-03-20 Sophia Sun , Rose Yu

Forecast reconciliation is a post-forecasting process that involves transforming a set of incoherent forecasts into coherent forecasts which satisfy a given set of linear constraints for a multivariate time series. In this paper we extend…

Methodology · Statistics 2023-12-25 Daniele Girolimetto , George Athanasopoulos , Tommaso Di Fonzo , Rob J Hyndman

Statistical postprocessing techniques are commonly used to improve the skill of ensembles of numerical weather forecasts. This paper considers spatial extensions of the well-established nonhomogeneous Gaussian regression (NGR)…

Applications · Statistics 2015-06-22 Kira Feldmann , Michael Scheuerer , Thordis L. Thorarinsdottir

The rapid growth of renewable energy penetration has intensified the need for reliable probabilistic forecasts to support grid operations at aggregated (fleet or system) levels. In practice, however, system operators often lack access to…

Machine Learning · Computer Science 2026-02-04 Alireza Moradi , Mathieu Tanneau , Reza Zandehshahvar , Pascal Van Hentenryck

Forecasting the weather is an increasingly data intensive exercise. Numerical Weather Prediction (NWP) models are becoming more complex, with higher resolutions, and there are increasing numbers of different models in operation. While the…

Applications · Statistics 2021-03-17 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

Modern weather forecasts are commonly issued as consistent multi-day forecast trajectories with a time resolution of 1-3 hours. Prior to issuing, statistical post-processing is routinely used to correct systematic errors and…

Applications · Statistics 2020-04-22 Nina Schuhen , Thordis Thorarinsdottir , Alex Lenkoski

Multivariate datasets are common in various real-world applications. Recently, copulas have received significant attention for modeling dependencies among random variables. A copula-based information measure is required to quantify the…

Methodology · Statistics 2024-08-06 Mohd. Arshad , Swaroop Georgy Zachariah , Ashok Kumar Pathak

We develop a novel multi-factor copula model for multivariate spatial extremes, which is designed to capture the different combinations of marginal and cross-extremal dependence structures within and across different spatial random fields.…

Methodology · Statistics 2022-06-24 Yan Gong , Raphaël Huser

This paper presents Robust samplE-based coVarIance StEering (REVISE), a multi-query algorithm that generates robust belief roadmaps for dynamic systems navigating through spatially dependent disturbances modeled as a Gaussian random field.…

Robotics · Computer Science 2024-11-21 Alex Rose , Naman Aggarwal , Christopher Jewison , Jonathan P. How

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

Methodology · Statistics 2018-05-22 Feng Li , Yanfei Kang

This paper proposes a regression tree procedure to estimate conditional copulas. The associated algorithm determines classes of observations based on covariate values and fits a simple parametric copula model on each class. The association…

Statistics Theory · Mathematics 2024-03-20 Francesco Bonacina , Olivier Lopez , Maud Thomas

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

Methodology · Statistics 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

In applications of climate information, coarse-resolution climate projections commonly need to be downscaled to a finer grid. One challenge of this requirement is the modeling of sub-grid variability and the spatial and temporal dependence…

The trustworthiness of AI decision-making systems is increasingly important. A key feature of such systems is the ability to provide recommendations for how an individual may reverse a negative decision, a problem known as algorithmic…

Artificial Intelligence · Computer Science 2026-05-13 Drago Plecko , Collin Wang , Elias Bareinboim