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A new efficient ensemble prediction strategy is developed for a general turbulent model framework with emphasis on the nonlinear interactions between large and small scale variables. The high computational cost in running large ensemble…

Fluid Dynamics · Physics 2023-02-22 Di Qi , Jian-Guo Liu

Contemporary weather forecasts are typically based on ensemble prediction systems, which consist of multiple runs of numerical weather prediction models that vary with respect to in the initial conditions and/or the the parameterization of…

Methodology · Statistics 2016-05-04 Roman Schefzik

Deep Ensembles are a simple, reliable, and effective method of improving both the predictive performance and uncertainty estimates of deep learning approaches. However, they are widely criticised as being computationally expensive, due to…

Machine Learning · Computer Science 2023-10-10 Guoxuan Xia , Christos-Savvas Bouganis

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

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

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

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

Methodology · Statistics 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

Accurate forecasts of macroeconomic and financial data, such as GDP, CPI, unemployment rates, and stock indices, are crucial for the success of countries, businesses, and investors, resulting in a constant demand for reliable forecasting…

Methodology · Statistics 2025-10-27 Tomasz M. Łapiński , Krzysztof Ziółkowski

We present a new framework for the assessment and calibration of medium range ensemble temperature forecasts. The method is based on maximising the likelihood of a simple parametric model for the temperature distribution, and leads to some…

Atmospheric and Oceanic Physics · Physics 2009-11-10 Stephen Jewson , Anders Brix , Christine Ziehmann

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

Methodology · Statistics 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

Ensemble forecasts and their combination are examined from the perspective of probability spaces. Manipulating ensemble forecasts as discrete probability distributions, multi-model ensemble (MME) forecasts are reformulated as barycenters of…

Applications · Statistics 2025-03-24 Camille Le Coz , Alexis Tantet , Rémi Flamary , Riwal Plougonven

The computational cost as well as the probabilistic skill of ensemble forecasts depends on the spatial resolution of the numerical weather prediction model and the ensemble size. Periodically, e.g. when more computational resources become…

Applications · Statistics 2020-01-17 Sándor Baran , Martin Leutbecher , Marianna Szabó , Zied Ben Bouallègue

The potential effects of conservation actions on threatened species can be predicted using ensemble ecosystem models by forecasting populations with and without intervention. These model ensembles commonly assume stable coexistence of…

Populations and Evolution · Quantitative Biology 2024-03-22 Sarah A. Vollert , Christopher Drovandi , Matthew P. Adams

It is well recognized that the project productivity is a key driver in estimating software project effort from Use Case Point size metric at early software development stages. Although, there are few proposed models for predicting…

Machine Learning · Computer Science 2018-12-18 Mohammad Azzeh , Ali Bou Nassif , Shadi Banitaan , Cuauhtemoc Lopez-Martin

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

Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

Statistical post-processing of dynamical forecast ensembles is an essential component of weather forecasting. In this article, we present a post-processing method that generates full predictive probability distributions for precipitation…

Applications · Statistics 2014-04-29 Michael Scheuerer

Statistical postprocessing is routinely applied to correct systematic errors of numerical weather prediction models (NWP) and to automatically produce calibrated local forecasts for end-users. Postprocessing is particularly relevant in…

This paper has been written to mark 25 years of operational medium-range ensemble forecasting. The origins of the ECMWF Ensemble Prediction System are outlined, including the development of the precursor real-time Met Office monthly…

Atmospheric and Oceanic Physics · Physics 2019-10-02 Tim Palmer

Machine learning-based Deepfake detection models have achieved impressive results on benchmark datasets, yet their performance often deteriorates significantly when evaluated on out-of-distribution data. In this work, we investigate an…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Haroon Wahab , Hassan Ugail , Lujain Jaleel