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Rating aggregation plays a crucial role in various fields, such as product recommendations, hotel rankings, and teaching evaluations. However, traditional averaging methods can be affected by participation bias, where some raters do not…

Machine Learning · Computer Science 2025-02-07 Yongkang Guo , Yuqing Kong , Jialiang Liu

We introduce a new method for estimating the mean of an outcome variable within groups when researchers only observe the average of the outcome and group indicators across a set of aggregation units, such as geographical areas. Existing…

Methodology · Statistics 2026-05-01 Cory McCartan , Shiro Kuriwaki

The paper surveys more than forty characterizations of scoring methods for preference aggregation and contains one new result. A general scoring operator is {\it self-consistent} if alternative $i$ is assigned a greater score than $j$…

Optimization and Control · Mathematics 2007-05-23 Pavel Chebotarev , Elena Shamis

In the context of Industry 4.0, data management is a key point for decision aid approaches. Large amounts of manufacturing digital data are collected on the shop floor. Their analysis can then require a large amount of computing power. The…

Artificial Intelligence · Computer Science 2019-05-17 Mathieu Ritou , Farouk Belkadi , Zakaria Yahouni , Catherine Da Cunha , Florent Laroche , Benoit Furet

Ensemble models often improve generalization performances in challenging tasks. Yet, traditional techniques based on prediction averaging incur three well-known disadvantages: the computational overhead of training multiple models,…

Machine Learning · Computer Science 2024-06-28 Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

Methodology · Statistics 2021-11-29 Yukun Liu , Yan Fan

We study the problem of robust forecast aggregation: combining expert forecasts with provable accuracy guarantees compared to the best possible aggregation of the underlying information. Prior work shows strong impossibility results, e.g.…

Computer Science and Game Theory · Computer Science 2025-12-08 Rafael Frongillo , Mary Monroe , Eric Neyman , Bo Waggoner

Gradual semantics with abstract argumentation provide each argument with a score reflecting its acceptability, i.e. how "much" it is attacked by other arguments. Many different gradual semantics have been proposed in the literature, each…

Artificial Intelligence · Computer Science 2022-02-02 Nir Oren , Bruno Yun , Srdjan Vesic , Murilo Baptista

When units in observational studies are clustered in groups, such as students in schools or patients in hospitals, researchers often address confounding by adjusting for cluster-level covariates or cluster membership. In this paper, we…

Methodology · Statistics 2026-02-06 Eli Ben-Michael , Avi Feller , Luke Keele

We take inspiration from the study of human explanation to inform the design and evaluation of interpretability methods in machine learning. First, we survey the literature on human explanation in philosophy, cognitive science, and the…

Artificial Intelligence · Computer Science 2021-09-21 David Alvarez-Melis , Harmanpreet Kaur , Hal Daumé , Hanna Wallach , Jennifer Wortman Vaughan

Aggregation functions are generally defined and used to combine several numerical values into a single one, so that the final result of the aggregation takes into account all the individual values in a given manner. Such functions are…

Statistics Theory · Mathematics 2009-06-22 Jean-Luc Marichal

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 propose a novel methodology to define assistance systems that rely on information fusion to combine different sources of information while providing an assessment. The main contribution of this paper is providing a general framework for…

Machine Learning · Computer Science 2024-04-17 Fernando Arévalo , Christian Alison M. Piolo , M. Tahasanul Ibrahim , Andreas Schwung

Background: Network Meta-Analysis (NMA) is a key component of submissions to reimbursement agencies world-wide, especially when there is limited direct head-to-head evidence for multiple technologies from randomised controlled trials…

Preference aggregation is a core operation in multi-objective design optimisation and group decision-making, as it determines the best-fit-for-common-purpose alternative within complex socio-technical contexts. Therefore, their aggregation…

Optimization and Control · Mathematics 2026-01-28 A. R. M. , Wolfert

This set of notes re-proves known results on weighted automata (over a field, also known as multiplicity automata). The text offers a unified view on theorems and proofs that have appeared in the literature over decades and were written in…

Formal Languages and Automata Theory · Computer Science 2020-09-03 Stefan Kiefer

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

We consider the problem of information aggregation in federated decision making, where a group of agents collaborate to infer the underlying state of nature without sharing their private data with the central processor or each other. We…

Machine Learning · Computer Science 2023-05-09 Mert Kayaalp , Yunus Inan , Visa Koivunen , Emre Telatar , Ali H. Sayed

Unlabeled data are increasingly prevalent in contemporary economic studies, yet their effective use for improving prediction remains challenging because the outcomes are often costly or even infeasible to observe. Machine learning methods…

Methodology · Statistics 2026-05-12 Fuzhi Xu , Xingyu Yan , Xinyu Zhang

We consider the quantum resource theory of measurement informativeness and introduce a weight-based quantifier of informativeness. We show that this quantifier has operational significance from the perspective of quantum state exclusion, by…

Quantum Physics · Physics 2019-08-28 Andrés F. Ducuara , Paul Skrzypczyk