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There has been increasing interest in recent years in the development of approaches to estimate causal effects when the number of potential confounders is prohibitively large. This growth in interest has led to a number of potential…

Methodology · Statistics 2020-02-05 Joseph Antonelli , Matthew Cefalu

To address model uncertainty under flexible loss functions in prediction problems, we propose a model averaging method that accommodates various loss functions, including asymmetric linear and quadratic loss functions, as well as many other…

Methodology · Statistics 2025-01-23 Dieqi Gu , Qingfeng Liu , Xinyu Zhang

In federated learning, differences in the data or objectives between the participating nodes motivate approaches to train a personalized machine learning model for each node. One such approach is weighted averaging between a locally trained…

Machine Learning · Computer Science 2021-10-26 Felix Grimberg , Mary-Anne Hartley , Sai P. Karimireddy , Martin Jaggi

We study the well known difficult problem of prediction in measurement error models. By targeting directly at the prediction interval instead of the point prediction, we construct a prediction interval by providing estimators of both the…

Methodology · Statistics 2024-05-20 Fei Jiang , Yanyuan Ma

It is often reported in forecast combination literature that a simple average of candidate forecasts is more robust than sophisticated combining methods. This phenomenon is usually referred to as the "forecast combination puzzle". Motivated…

Methodology · Statistics 2015-05-05 Wei Qian , Craig A. Rolling , Gang Cheng , Yuhong Yang

Machine-learning-based age estimation has received lots of attention. Traditional age estimation mechanism focuses estimation age error, but ignores that there is a deviation between the estimated age and real age due to disease.…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Fan Li , Yongming Li , Pin Wang , Jie Xiao , Fang Yan , Xinke Li

Forecast combination methods have traditionally emphasized symmetric loss functions, particularly squared error loss, with equally weighted combinations often justified as a robust approach under such criteria. However, these justifications…

Methodology · Statistics 2025-04-08 Henry D. van Eijk , Sujit K. Ghosh

Ensemble methods are widely employed to improve generalization in machine learning. This has also prompted the adoption of ensemble learning for the knowledge graph embedding (KGE) models in performing link prediction. Typical approaches to…

Machine Learning · Computer Science 2025-10-30 Rupesh Sapkota , Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

A general method to combine several estimators of the same quantity is investigated. In the spirit of model and forecast averaging, the final estimator is computed as a weighted average of the initial ones, where the weights are constrained…

Methodology · Statistics 2015-05-26 Frédéric Lavancier , Paul Rochet

Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

Statistics Theory · Mathematics 2018-01-31 Zhiqiang Tan

Model averaging, as an appealing ensemble technique, strategically integrates all valuable information from candidate models to construct fast and accurate prediction. Despite of having been widely practiced in many fields such as…

Methodology · Statistics 2026-03-17 Zhuang Yong , Lv Jing , Tingting Li

A multilevel functional data method is adapted for forecasting age-specific mortality for two or more populations in developed countries with high-quality vital registration systems. It uses multilevel functional principal component…

Applications · Statistics 2016-09-30 Han Lin Shang

The focus of the present paper is to forecast mortality rates for small sub-populations that are parts of a larger super-population. In this setting the assumption is that it is possible to produce reliable forecasts for the…

Applications · Statistics 2026-04-22 Mathias Lindholm , Gabriele Pittarello

The last two centuries have seen a significant increase in life expectancy. Although past trends suggest that mortality will continue to decline in the future, uncertainty and instability about the development is greatly increased due to…

Applications · Statistics 2023-11-28 Asmik Nalmpatian , Christian Heumann , Stefan Pilz

Model multiplicity refers to the existence of multiple machine learning models that describe the data equally well but may produce different predictions on individual samples. In medicine, these models can admit conflicting predictions for…

In demographic literature, forecast uncertainty is often quantified with a statistical model. This model-based approach may potentially suffer from drawbacks, namely model misspecification, selection effect, and lack of finite-sample…

Applications · Statistics 2026-05-29 Han Lin Shang

In statistical exercises where there are several candidate models, the traditional approach is to select one model using some data driven criterion and use that model for estimation, testing and other purposes, ignoring the variability of…

Statistics Theory · Mathematics 2008-12-18 Snigdhansu Chatterjee , Nitai D. Mukhopadhyay

Modelling and forecasting homogeneous age-specific mortality rates of multiple countries could lead to improvements in long-term forecasting. Data fed into joint models are often grouped according to nominal attributes, such as geographic…

Methodology · Statistics 2022-01-05 Chen Tang , Han Lin Shang , Yanrong Yang

The weighted average is by far the most popular approach to combining multiple forecasts of some future outcome. This paper shows that both for probability or real-valued forecasts, a non-trivial weighted average of different forecasts is…

Methodology · Statistics 2015-09-28 Ville Satopää , Lyle Ungar

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi