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Ensembles of geophysical models improve projection accuracy and express uncertainties. We develop a novel data-driven ensembling strategy for combining geophysical models using Bayesian Neural Networks, which infers spatiotemporally varying…

Many Numerical Weather Prediction (NWP) models and their associated Model Output Statistics (MOS) are available. Combining all of these predictions in an optimal way is however not straightforward. This can be achieved thanks to Expert…

Optimization and Control · Mathematics 2025-06-19 Léo Pfitzner , Olivier Wintenberger , Olivier Mestre , Marion Riverain

Earth System Models (ESMs) are essential for understanding the interaction between human activities and the Earth's climate. However, the computational demands of ESMs often limit the number of simulations that can be run, hindering the…

Atmospheric and Oceanic Physics · Physics 2024-09-19 Seth Bassetti , Brian Hutchinson , Claudia Tebaldi , Ben Kravitz

This paper proposes a selective inference procedure for testing equal predictive ability in panel data settings with unknown heterogeneity. The framework allows predictive performance to vary across unobserved clusters and accounts for the…

Econometrics · Economics 2025-07-29 Oguzhan Akgun , Alain Pirotte , Giovanni Urga , Zhenlin Yang

As global climate change intensifies, accurate weather forecasting has become increasingly important, affecting agriculture, energy management, environmental protection, and daily life. This study introduces a hybrid model combining…

Machine Learning · Computer Science 2024-10-22 Yuhao Gong , Yuchen Zhang , Fei Wang , Chi-Han Lee

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

Capturing the uncertainty in probabilistic wind power forecasts is challenging, especially when uncertain input variables, such as the weather, play a role. Since ensemble weather predictions aim to capture the uncertainty in the weather…

Applications · Statistics 2022-04-26 Kaleb Phipps , Sebastian Lerch , Maria Andersson , Ralf Mikut , Veit Hagenmeyer , Nicole Ludwig

Climate predictions are only meaningful if the associated uncertainty is reliably estimated. A standard practice for providing climate projections is to use an ensemble of projections. The ensemble mean serves as the projection while the…

Atmospheric and Oceanic Physics · Physics 2019-04-16 Ehud Strobach , Golan Bel

Ensemble weather forecasts enable a measure of uncertainty to be attached to each forecast, by computing the ensemble's spread. However, generating an ensemble with a good spread-error relationship is far from trivial, and a wide range of…

Atmospheric and Oceanic Physics · Physics 2021-01-05 Sebastian Scher , Gabriele Messori

A tensor provides a concise way to codify the interdependence of complex data. Treating a tensor as a d-way array, each entry records the interaction between the different indices. Clustering provides a way to parse the complexity of the…

Machine Learning · Computer Science 2020-05-26 Derek DeSantis , Phillip J. Wolfram , Katrina Bennett , Boian Alexandrov

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

With large quantities of data typically available nowadays, forecasting models that are trained across sets of time series, known as Global Forecasting Models (GFM), are regularly outperforming traditional univariate forecasting models that…

Machine Learning · Computer Science 2021-09-22 Rakshitha Godahewa , Kasun Bandara , Geoffrey I. Webb , Slawek Smyl , Christoph Bergmeir

An unresolved problem of present generation coupled climate models is the realistic distribution of rainfall over Indian monsoon region, which is also related to the persistent dry bias over Indian land mass. Therefore, quantitative…

The prediction of traffic congestion can serve a crucial role in making future decisions. Although many studies have been conducted regarding congestion, most of these could not cover all the important factors (e.g., weather conditions). We…

Machine Learning · Computer Science 2025-04-22 Rafed Muhammad Yasir , Moumita Asad , Naushin Nower , Mohammad Shoyaib

Recently all major weather prediction centres provide forecast ensembles of different weather quantities which are obtained from multiple runs of numerical weather prediction models with various initial conditions and model…

Methodology · Statistics 2016-07-20 Sándor Baran , Dóra Nemoda

Accurately quantifying the increased risks of climate extremes requires generating large ensembles of climate realization across a wide range of emissions scenarios, which is computationally challenging for conventional Earth System Models.…

Computational Physics · Physics 2025-08-22 Mengze Wang , Benedikt Barthel Sorensen , Themistoklis Sapsis

In this paper, we introduce a new, local formulation of the ensemble Kalman Filter approach for atmospheric data assimilation. Our scheme is based on the hypothesis that, when the Earth's surface is divided up into local regions of moderate…

Uncertainty in the prediction of future weather is commonly assessed through the use of forecast ensembles that employ a numerical weather prediction model in distinct variants. Statistical postprocessing can correct for biases in the…

Applications · Statistics 2016-06-16 Annette Möller , Thordis L. Thorarinsdottir , Alex Lenkoski , Tilmann Gneiting

Wind energy resource assessment typically requires numerical models, but such models are too computationally intensive to consider multi-year timescales. Increasingly, unsupervised machine learning techniques are used to identify a small…

Machine Learning · Statistics 2023-02-14 Mariana C A Clare , Simon C Warder , Robert Neal , B Bhaskaran , Matthew D Piggott

It is important to predict how the Global Mean Temperature (GMT) will evolve in the next few decades. The ability to predict historical data is a necessary first step toward the actual goal of making long-range forecasts. This paper…

Applications · Statistics 2023-03-14 Debdarsan Niyogi , J. Srinivasan
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