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Ensemble methods combine the predictions of several base models. We study whether or not including more models always improves their average performance. This question depends on the kind of ensemble considered, as well as the predictive…

Machine Learning · Statistics 2026-01-01 Pierre-Alexandre Mattei , Damien Garreau

This paper is devoted to provide a theoretical underpinning for ensemble forecasting with rapid fluctuations in body forcing and in boundary conditions. Ensemble averaging principles are proved under suitable `mixing' conditions on random…

Probability · Mathematics 2012-07-26 Wei Wang , Jian Ren , Jinqiao Duan , Guowei He

The performance of deep neural networks is enhanced by ensemble methods, which average the output of several models. However, this comes at an increased cost at inference. Weight averaging methods aim at balancing the generalization of…

Machine Learning · Computer Science 2024-05-29 Louis Fournier , Adel Nabli , Masih Aminbeidokhti , Marco Pedersoli , Eugene Belilovsky , Edouard Oyallon

Robust quantification of predictive uncertainty is critical for understanding factors that drive weather and climate outcomes. Ensembles provide predictive uncertainty estimates and can be decomposed physically, but both physics and machine…

Ensembles improve prediction performance and allow uncertainty quantification by aggregating predictions from multiple models. In deep ensembling, the individual models are usually black box neural networks, or recently, partially…

Machine Learning · Statistics 2022-05-26 Lucas Kook , Andrea Götschi , Philipp FM Baumann , Torsten Hothorn , Beate Sick

Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

Atmospheric and Oceanic Physics · Physics 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

Deep-learning-based data-driven forecasting methods have produced impressive results for traffic forecasting. A major limitation of these methods, however, is that they provide forecasts without estimates of uncertainty, which are critical…

Machine Learning · Computer Science 2022-04-07 Tanwi Mallick , Prasanna Balaprakash , Jane Macfarlane

Ensembling a neural network is a widely recognized approach to enhance model performance, estimate uncertainty, and improve robustness in deep supervised learning. However, deep ensembles often come with high computational costs and memory…

A bivariate ensemble model output statistics (EMOS) technique for the postprocessing of ensemble forecasts of two-dimensional wind vectors is proposed, where the postprocessed probabilistic forecast takes the form of a bivariate normal…

Applications · Statistics 2015-06-03 Nina Schuhen , Thordis L. Thorarinsdottir , Tilmann Gneiting

Ensemble approaches are commonly used techniques to improving a system by combining multiple model predictions. Additionally these schemes allow the uncertainty, as well as the source of the uncertainty, to be derived for the prediction.…

Computation and Language · Computer Science 2020-12-16 Yassir Fathullah , Mark Gales , Andrey Malinin

This work explores the application of ensemble modeling to the multidimensional regression problem of trajectory prediction for vehicles in urban environments. As newer and bigger state-of-the-art prediction models for autonomous driving…

Machine Learning · Computer Science 2025-09-18 Divya Thuremella , Yi Yang , Simon Wanna , Lars Kunze , Daniele De Martini

Accurate and reliable predictions of infectious disease dynamics can be valuable to public health organizations that plan interventions to decrease or prevent disease transmission. A great variety of models have been developed for this…

Machine Learning · Statistics 2018-07-04 Evan L. Ray , Nicholas G. Reich

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

We present DEF (\textbf{\ul{D}}iffusion-augmented \textbf{\ul{E}}nsemble \textbf{\ul{F}}orecasting), a novel approach for generating initial condition perturbations. Modern approaches to initial condition perturbations are primarily…

Machine Learning · Computer Science 2025-06-10 David Millard , Arielle Carr , Stéphane Gaudreault , Ali Baheri

The atmosphere is chaotic. This fundamental property of the climate system makes forecasting weather incredibly challenging: it's impossible to expect weather models to ever provide perfect predictions of the Earth system beyond timescales…

Atmospheric and Oceanic Physics · Physics 2020-12-15 Elizabeth A. Barnes , Kirsten Mayer , Benjamin Toms , Zane Martin , Emily Gordon

The ensemble methods are meta-algorithms that combine several base machine learning techniques to increase the effectiveness of the classification. Many existing committees of classifiers use the classifier selection process to determine…

Machine Learning · Computer Science 2021-06-15 Robert Burduk

This paper presents first steps toward robust models for crisis prediction. We conduct a horse race of conventional statistical methods and more recent machine learning methods as early-warning models. As individual models are in the…

Statistical Finance · Quantitative Finance 2016-04-04 Markus Holopainen , Peter Sarlin

Combining forecasts from multiple experts often yields more accurate results than relying on a single expert. In this paper, we introduce a novel regularized ensemble method that extends the traditional linear opinion pool by leveraging…

Applications · Statistics 2026-02-13 Han Su , Xiaojia Guo , Xiaoke Zhang

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

FourCastNet 3 advances global weather modeling by implementing a scalable, geometric machine learning (ML) approach to probabilistic ensemble forecasting. The approach is designed to respect spherical geometry and to accurately model the…

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