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The problem of combining individual forecasters to produce a forecaster with improved performance is considered. The connections between probability elicitation and classification are used to pose the combining forecaster problem as that of…

Methodology · Statistics 2017-07-11 Hamed Masnadi-Shirazi

Post-processing typically takes the outputs of a Numerical Weather Prediction (NWP) model and applies linear statistical techniques to produce improve localized forecasts, by including additional observations, or determining systematic…

Large ensembles of climate projections are essential for characterizing uncertainty in future climate and extreme weather events, yet computational constraints of numerical climate models limit ensemble sizes to a small number of…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Francesco Immorlano , Elijah Tavares , Felix Draxler , Padhraic Smyth , Pierre Gentine , Stephan Mandt

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…

Ensemble data from Earth system models has to be calibrated and post-processed. I propose a novel member-by-member post-processing approach with neural networks. I bridge ideas from ensemble data assimilation with self-attention, resulting…

Machine Learning · Computer Science 2021-07-13 Tobias Sebastian Finn

Tree ensembles, such as random forest and boosted trees, are renowned for their high prediction performance, whereas their interpretability is critically limited. In this paper, we propose a post processing method that improves the model…

Machine Learning · Statistics 2016-06-20 Satoshi Hara , Kohei Hayashi

Accurate weather forecasting is essential for socioeconomic activities. While data-driven forecasting demonstrates superior predictive capabilities over traditional Numerical Weather Prediction (NWP) with reduced computational demands, its…

Atmospheric and Oceanic Physics · Physics 2024-12-12 Congyi Nai , Xi Chen , Shangshang Yang , Yuan Liang , Ziniu Xiao , Baoxiang Pan

This paper studies the application of ensembles composed of multi-output models for multi-step ahead forecasting problems. Dynamic ensembles have been commonly used for forecasting. However, these are typically designed for one-step-ahead…

Machine Learning · Statistics 2023-06-27 Vitor Cerqueira , Luis Torgo

Mesoscale forecasts are now routinely performed as elements of operational forecasts and their outputs do appear convincing. However, despite their realistic appearance at times the comparison to observations is less favorable. At the grid…

Atmospheric and Oceanic Physics · Physics 2016-10-26 Markus Gross

To facilitate effective decision-making, precipitation datasets should include uncertainty estimates. Quantile regression with machine learning has been proposed for issuing such estimates. Distributional regression offers distinct…

Machine Learning · Computer Science 2025-01-07 Georgia Papacharalampous , Hristos Tyralis , Nikolaos Doulamis , Anastasios Doulamis

We investigate the effect of statistical post-processing on the probabilistic skill of discomfort index (DI) and indoor wet-bulb globe temperature (WBGTid) ensemble forecasts, both calculated from the corresponding forecasts of temperature…

Applications · Statistics 2020-11-23 Sándor Baran , Ágnes Baran , Florian Pappenberger , Zied Ben Bouallègue

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

Applications · Statistics 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

Motivated by applications to 3D printing, this paper presents two algorithms for calculating an ensemble of solutions to heat conduction problems. The ensemble average is the most likely temperature distribution and its variance gives an…

Numerical Analysis · Mathematics 2017-08-04 Joseph A. Fiordilino

This paper presents two algorithms for calculating an ensemble of solutions to laminar natural convection problems. The ensemble average is the most likely temperature distribution and its variance gives an estimate of prediction…

Numerical Analysis · Mathematics 2017-08-03 Joseph A. Fiordilino , Sarah Khankan

Reliable precipitation nowcasting is critical for weather-sensitive decision-making, yet neural weather models (NWMs) can produce poorly calibrated probabilistic forecasts. Standard calibration metrics such as the expected calibration error…

Machine Learning · Computer Science 2025-12-01 Lauri Kurki , Yaniel Cabrera , Samu Karanko

Accurate time series forecasting is critical for a wide range of problems with temporal data. Ensemble modeling is a well-established technique for leveraging multiple predictive models to increase accuracy and robustness, as the…

Machine Learning · Computer Science 2023-04-11 Dimitris Bertsimas , Leonard Boussioux

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

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

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 characteristics of influenza seasons varies substantially from year to year, posing challenges for public health preparation and response. Influenza forecasting is used to inform seasonal outbreak response, which can in turn potentially…

Applications · Statistics 2022-03-16 Nutcha Wattanachit , Evan L. Ray , Thomas C. McAndrew , Nicholas G. Reich
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