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It is common practice to combine deep neural networks into ensembles. These deep ensembles can benefit from the cancellation of errors effect: Errors by ensemble members may average out, leading to better generalization performance than…

Machine Learning · Computer Science 2025-01-07 Nick Hauptvogel , Christian Igel

Model selection strategies have been routinely employed to determine a model for data analysis in statistics, and further study and inference then often proceed as though the selected model were the true model that were known a priori. This…

Methodology · Statistics 2018-02-13 Priyam Mitra , Heng Lian , Ritwik Mitra , Hua Liang , Min-ge Xie

Time series forecasting is a challenging problem particularly when a time series expresses multiple seasonality, nonlinear trend and varying variance. In this work, to forecast complex time series, we propose ensemble learning which is…

Machine Learning · Computer Science 2022-03-03 Grzegorz Dudek

Time Series Forecasting is at the core of many practical applications such as sales forecasting for business, rainfall forecasting for agriculture and many others. Though this problem has been extensively studied for years, it is still…

Machine Learning · Computer Science 2020-03-23 Anirban Chatterjee , Subhadip Paul , Uddipto Dutta , Smaranya Dey

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…

Methodology · Statistics 2022-09-26 Xiaoqian Wang , Rob J Hyndman , Feng Li , Yanfei Kang

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

Machine Learning · Computer Science 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

Forecast combinations have been widely applied in the last few decades to improve forecasting. Estimating optimal weights that can outperform simple averages is not always an easy task. In recent years, the idea of using time series…

Methodology · Statistics 2021-10-22 Yanfei Kang , Wei Cao , Fotios Petropoulos , Feng Li

This paper proposes corrected forecast combinations when the original combined forecast errors are serially dependent. Motivated by the classic Bates and Granger (1969) example, we show that combined forecast errors can be strongly…

Econometrics · Economics 2026-01-16 Chu-An Liu , Andrey L. Vasnev

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

Modern neural networks do not always produce well-calibrated predictions, even when trained with a proper scoring function such as cross-entropy. In classification settings, simple methods such as isotonic regression or temperature scaling…

Machine Learning · Computer Science 2021-03-26 Steven Reich , David Mueller , Nicholas Andrews

Best linear unbiased prediction is well known for its wide range of applications including small area estimation. While the theory is well established for mixed linear models and under normality of the error and mixing distributions, the…

Statistics Theory · Mathematics 2007-06-13 Soumendra N. Lahiri , Tapabrata Maiti , Myron Katzoff , Van Parsons

Forecast combination and model averaging have become popular tools in forecasting and prediction, both of which combine a set of candidate estimates with certain weights and are often shown to outperform single estimates. A data-driven…

Statistics Theory · Mathematics 2025-10-31 Jiahui Zou , Andrey Vasnev , Wendun Wang , Xinyu Zhang

We consider the combination of value-at-risk (VaR) and expected shortfall (ES) forecasts when a large pool of candidate forecasts is available. Given the limited literature in this area, we implement a variety of new combining methods. In…

Risk Management · Quantitative Finance 2026-05-15 James W. Taylor , Chao Wang

Weather forecasting has seen a shift in methods from numerical simulations to data-driven systems. While initial research in the area focused on deterministic forecasting, recent works have used diffusion models to produce skillful ensemble…

Machine Learning · Computer Science 2025-04-15 Martin Andrae , Tomas Landelius , Joel Oskarsson , Fredrik Lindsten

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

Methodology · Statistics 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

Estimating individual and average treatment effects from observational data is an important problem in many domains such as healthcare and e-commerce. In this paper, we advocate balance regularization of multi-head neural network…

Machine Learning · Computer Science 2020-11-24 Mehrdad Farajtabar , Andrew Lee , Yuanjian Feng , Vishal Gupta , Peter Dolan , Harish Chandran , Martin Szummer

Multimodel ensembling has been widely used to improve climate model predictions, and the improvement strongly depends on the ensembling scheme. In this work, we propose a Bayesian neural network (BNN) ensembling method, which combines…

Atmospheric and Oceanic Physics · Physics 2022-08-10 Ming Fan , Dan Lu , Deeksha Rastogi , Eric M. Pierce

The importance of exploring a potential integration among surveys has been acknowledged in order to enhance effectiveness and minimize expenses. In this work, we employ the alignment method to combine information from two different surveys…

Methodology · Statistics 2024-04-09 Vasilis Chasiotis , Dimitris Karlis

Ensemble models refer to methods that combine a typically large number of classifiers into a compound prediction. The output of an ensemble method is the result of fitting a base-learning algorithm to a given data set, and obtaining diverse…

Machine Learning · Statistics 2019-06-10 Waldyn Martinez