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Weather forecasts are typically given in the form of forecast ensembles obtained from multiple runs of numerical weather prediction models with varying initial conditions and physics parameterizations. Such ensemble predictions tend to be…

Applications · Statistics 2017-01-13 Sebastian Lerch , Sandor Baran

Expensive ultrasonic anemometers are usually required to measure wind speed accurately. The aim of this work is to overcome the loss of accuracy of a low cost hot-wire anemometer caused by the changes of air temperature, by means of a…

In weather forecasting, nonhomogeneous regression is used to statistically postprocess forecast ensembles in order to obtain calibrated predictive distributions. For wind speed forecasts, the regression model is given by a truncated normal…

Applications · Statistics 2013-11-19 Sebastian Lerch , Thordis L. Thorarinsdottir

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

Currently all major meteorological centres generate ensemble forecasts using their operational ensemble prediction systems; however, it is a general problem that the spread of the ensemble is too small, resulting in underdispersive…

Applications · Statistics 2020-11-23 Mailiu Díaz , Orietta Nicolis , Julio César Marín , Sándor Baran

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

We revisit the classical, full-fledged Bayesian model averaging (BMA) paradigm to ensemble pre-trained and/or lightly-finetuned foundation models to enhance the classification performance on image and text data. To make BMA tractable under…

Machine Learning · Computer Science 2025-05-29 Mijung Park

Statistical postprocessing techniques are nowadays key components of the forecasting suites in many National Meteorological Services (NMS), with for most of them, the objective of correcting the impact of different types of errors on the…

A general challenge in statistics is prediction in the presence of multiple candidate models or learning algorithms. Model aggregation tries to combine all predictive distributions from individual models, which is more stable and flexible…

Methodology · Statistics 2021-09-28 Yuling Yao

Accurately representing surface weather at the sub-kilometer scale is crucial for optimal decision-making in a wide range of applications. This motivates the use of statistical techniques to provide accurate and calibrated probabilistic…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Francesco Zanetta , Daniele Nerini , Matteo Buzzi , Henry Moss

We propose an extension of the non-homogeneous Gaussian regression (NGR) model by Gneiting et al. (2005) that yields locally calibrated probabilistic forecasts of tem- perature, based on the output of an ensemble prediction system (EPS).…

Applications · Statistics 2014-04-29 Michael Scheuerer , Luca Büermann

This paper addresses the critical challenge of improving predictions of climate extreme events, specifically heat waves, using machine learning methods. Our work is framed as a classification problem in which we try to predict whether…

Machine Learning · Computer Science 2025-11-17 Julien Collard , Pierre Gentine , Tian Zheng

Artificial Intelligence (AI) weather models are now reaching operational-grade performance for some variables, but like traditional Numerical Weather Prediction (NWP) models, they exhibit systematic biases and reliability issues. We test…

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

This paper studies prediction with multiple candidate models, where the goal is to combine their outputs. This task is especially challenging in heterogeneous settings, where different models may be better suited to different inputs. We…

Machine Learning · Statistics 2025-10-28 Yuli Slavutsky , Sebastian Salazar , David M. Blei

This study aims to develop and improve machine learning-based post-processing models for precipitation, temperature, and wind speed predictions using the Mesoscale Model (MSM) dataset provided by the Japan Meteorological Agency (JMA) for 18…

Atmospheric and Oceanic Physics · Physics 2026-04-22 Kazuma Iwase , Tomoyuki Takenawa

Pairwise Markov Models (PMMs) extend the wellknown Hidden Markov Models (HMMs). Being significantly more general, PMMs enable several types of processing, like Bayesian filtering or smoothing, similar to those used in HMMs. In this paper,…

Dynamical Systems · Mathematics 2024-02-13 Marc Escudier , Ikram Abdelkefi , Clément Fernandes , Wojciech Pieczynski

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

Projections of future climate change rely heavily on climate models, and combining climate models through a multi-model ensemble is both more accurate than a single climate model and valuable for uncertainty quantification. However,…

Applications · Statistics 2020-02-27 Huang Huang , Dorit Hammerling , Bo Li , Richard Smith

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo
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