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We propose a method for post-processing an ensemble of multivariate forecasts in order to obtain a joint predictive distribution of weather. Our method utilizes existing univariate post-processing techniques, in this case ensemble Bayesian…

应用统计 · 统计学 2015-10-28 Annette Möller , Alex Lenkoski , Thordis L. Thorarinsdottir

Probabilistic models are often used to make predictions in regions of the data space where no observations are available, but it is not always clear whether such predictions are well-informed by previously seen data. In this paper, we…

机器学习 · 统计学 2026-02-24 Kurt Butler , Guanchao Feng , Tong Chen , Petar Djuric

Forecast combinations have flourished remarkably in the forecasting community and, in recent years, have become part of the mainstream of forecasting research and activities. Combining multiple forecasts produced from single (target) series…

统计方法学 · 统计学 2022-09-26 Xiaoqian Wang , Rob J Hyndman , Feng Li , Yanfei Kang

Since the weather is chaotic, forecasts aim to predict the distribution of future states rather than make a single prediction. Recently, multiple data driven weather models have emerged claiming breakthroughs in skill. However, these have…

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…

大气与海洋物理 · 物理学 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

It is informative to evaluate a forecaster's ability to predict outcomes that have a large impact on the forecast user. Although weighted scoring rules have become a well-established tool to achieve this, such scores have been studied…

统计方法学 · 统计学 2022-02-28 Sam Allen , David Ginsbourger , Johanna Ziegel

We analyze an online learning algorithm that adaptively combines outputs of two constituent algorithms (or the experts) running in parallel to model an unknown desired signal. This online learning algorithm is shown to achieve (and in some…

机器学习 · 计算机科学 2012-10-01 Mehmet A. Donmez , Sait Tunc , Suleyman S. Kozat

Prediction intervals offer an effective tool for quantifying the uncertainty of loads in distribution systems. The traditional central PIs cannot adapt well to skewed distributions, and their offline training fashion is vulnerable to…

应用统计 · 统计学 2023-11-30 Yufan Zhang , Honglin Wen , Qiuwei Wu , Qian Ai

We study prediction with expert advice in the setting where the losses are accumulated with some discounting---the impact of old losses may gradually vanish. We generalize the Aggregating Algorithm and the Aggregating Algorithm for…

机器学习 · 计算机科学 2010-06-07 Alexey Chernov , Fedor Zhdanov

Estimating accurate and well-calibrated predictive uncertainty is important for enhancing the reliability of computer vision models, especially in safety-critical applications like traffic scene perception. While ensemble methods are…

计算机视觉与模式识别 · 计算机科学 2025-09-08 Svetlana Pavlitska , Beyza Keskin , Alwin Faßbender , Christian Hubschneider , J. Marius Zöllner

This research leverages Conformal Prediction (CP) in the form of Conformal Predictive Systems (CPS) to accurately estimate uncertainty in a suite of machine learning (ML)-based radio metric models [1] as well as in a 2-D map-based ML path…

机器学习 · 计算机科学 2025-01-14 Alexis Bose , Jonathan Ethier , Ryan G. Dempsey , Yifeng Qiu

An influential step in weather forecasting was the introduction of ensemble forecasts in operational use due to their capability to account for the uncertainties in the future state of the atmosphere. However, ensemble weather forecasts are…

应用统计 · 统计学 2023-05-25 Mária Lakatos , Sebastian Lerch , Stephan Hemri , Sándor Baran

Load forecasting is crucial for multiple energy management tasks such as scheduling generation capacity, planning supply and demand, and minimizing energy trade costs. Such relevance has increased even more in recent years due to the…

机器学习 · 计算机科学 2024-08-16 Verónica Álvarez , Santiago Mazuelas , José A. Lozano

When applying aggregating strategies to Prediction with Expert Advice, the learning rate must be adaptively tuned. The natural choice of sqrt(complexity/current loss) renders the analysis of Weighted Majority derivatives quite complicated.…

人工智能 · 计算机科学 2007-05-23 Marcus Hutter , Jan Poland

We consider the setting of prediction with expert advice; a learner makes predictions by aggregating those of a group of experts. Under this setting, and for the right choice of loss function and "mixing" algorithm, it is possible for the…

机器学习 · 计算机科学 2018-11-01 Zakaria Mhammedi , Robert C. Williamson

Recent statistical postprocessing methods for wind speed forecasts have incorporated linear models and neural networks to produce more skillful probabilistic forecasts in the low-to-medium wind speed range. At the same time, these methods…

应用统计 · 统计学 2025-04-18 Simon Hakvoort , Bastien Francois , Kirien Whan , Sjoerd Dirksen

Conformal prediction is an emerging technique for uncertainty quantification that constructs prediction sets guaranteed to contain the true label with a predefined probability. Recent work develops online conformal prediction methods that…

机器学习 · 计算机科学 2025-10-17 Huajun Xi , Kangdao Liu , Hao Zeng , Wenguang Sun , Hongxin Wei

This paper presents VAEneu, an innovative autoregressive method for multistep ahead univariate probabilistic time series forecasting. We employ the conditional VAE framework and optimize the lower bound of the predictive distribution…

机器学习 · 计算机科学 2024-05-08 Alireza Koochali , Ensiye Tahaei , Andreas Dengel , Sheraz Ahmed

Online learning methods yield sequential regret bounds under minimal assumptions and provide in-expectation risk bounds for statistical learning. However, despite the apparent advantage of online guarantees over their statistical…

机器学习 · 计算机科学 2023-08-16 Dirk van der Hoeven , Nikita Zhivotovskiy , Nicolò Cesa-Bianchi

Both Approximate Bayesian Computation (ABC) and composite likelihood methods are useful for Bayesian and frequentist inference, respectively, when the likelihood function is intractable. We propose to use composite likelihood score…

统计计算 · 统计学 2015-02-25 Erlis Ruli , Nicola Sartori , Laura Ventura