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We consider the problem of choosing the best of $n$ samples, out of a large random pool, when the sampling of each member is associated with a certain cost. The quality (worth) of the best sample clearly increases with $n$, but so do the…

统计理论 · 数学 2015-06-16 Joseph D. Skufca , Daniel ben-Avraham

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…

机器学习 · 计算机科学 2025-02-07 Yongkang Guo , Yuqing Kong , Jialiang Liu

Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by close inspection. The availability of…

概率论 · 数学 2013-10-23 André J. Hoogstrate , Chris A. J. Klaassen

Sortition is a political system in which decisions are made by panels of randomly selected citizens. The process for selecting a sortition panel is traditionally thought of as uniform sampling without replacement, which has strong fairness…

计算机科学与博弈论 · 计算机科学 2020-10-30 Bailey Flanigan , Paul Gölz , Anupam Gupta , Ariel Procaccia

Natural and social multivariate systems are commonly studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis…

统计金融 · 定量金融 2020-07-01 Riccardo Marcaccioli , Giacomo Livan

Finding outlying elements in probability distributions can be a hard problem. Taking a real example from Voting Rights Act enforcement, we consider the problem of maximizing the number of simultaneous majority-minority districts in a…

物理与社会 · 物理学 2022-06-23 Sarah Cannon , Ari Goldbloom-Helzner , Varun Gupta , JN Matthews , Bhushan Suwal

When variable selection methods are applied to bootstrapped and multiply imputed datasets, the set of selected variables typically varies across iterations. Aggregating results via the union rule can lead to overly dense models. We propose…

统计方法学 · 统计学 2026-04-23 Johannes Bleher , Claudia Tarantola

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

人工智能 · 计算机科学 2021-10-15 Gabriel-Claudiu Grama

We present a statistical testing framework to detect if a given machine learning classifier fails to satisfy a wide range of group fairness notions. The proposed test is a flexible, interpretable, and statistically rigorous tool for…

机器学习 · 统计学 2021-06-03 Nian Si , Karthyek Murthy , Jose Blanchet , Viet Anh Nguyen

When multiple investigators analyze a common dataset, the data reuse induces dependence across testing procedures, affecting the distribution of errors. Existing techniques of managing dependent tests require either cross-study coordination…

统计理论 · 数学 2026-04-10 Reid Dale , Jordan Rodu , Maria E. Currie , Mike Baiocchi

This paper proposes a novel, nonparametric, interpoint distance-based measure to investigate whether there exist any groups in a set of given data, and if so then, how many groups are prevailing in total. It is a cluster accuracy index…

统计方法学 · 统计学 2026-05-21 Soumita Modak

This paper considers elections in which voters choose one candidate each, independently according to known probability distributions. A candidate receiving a strict majority (absolute or relative, depending on the version) wins. After the…

数据结构与算法 · 计算机科学 2024-01-22 Lisa Hellerstein , Naifeng Liu , Kevin Schewior

In approval-based budget division, a budget needs to be distributed to candidates based on the voters' approval ballots over these candidates. In the pursuit of a simple, consistent, and approximately fair rule for this setting, we…

计算机科学与博弈论 · 计算机科学 2025-10-06 Haris Aziz , Patrick Lederer , Xinhang Lu , Mashbat Suzuki , Jeremy Vollen

Selective classification, in which models can abstain on uncertain predictions, is a natural approach to improving accuracy in settings where errors are costly but abstentions are manageable. In this paper, we find that while selective…

机器学习 · 计算机科学 2021-04-15 Erik Jones , Shiori Sagawa , Pang Wei Koh , Ananya Kumar , Percy Liang

In observational studies of discrimination, the most common statistical approaches consider either the rate at which decisions are made (benchmark tests) or the success rate of those decisions (outcome tests). Both tests, however, have…

应用统计 · 统计学 2025-03-07 Johann D. Gaebler , Sharad Goel

Voting power determines the "power" of individuals who cast votes; their power is based on their ability to influence the winning-ness of a coalition. Usually each individual acts alone, casting either all or none of their votes and is…

计算机科学与博弈论 · 计算机科学 2013-12-13 Daniel Zwillinger

Multiwinner voting rules are used to select a small representative subset of candidates or items from a larger set given the preferences of voters. However, if candidates have sensitive attributes such as gender or ethnicity (when selecting…

计算机与社会 · 计算机科学 2018-06-20 L. Elisa Celis , Lingxiao Huang , Nisheeth K. Vishnoi

Partisan gerrymandering, i.e., manipulation of electoral district boundaries for political advantage, is one of the major challenges to election integrity in modern day democracies. Yet most of the existing methods for detecting partisan…

应用统计 · 统计学 2023-06-06 Wojciech Słomczyński , Dariusz Stolicki , Stanisław Szufa

Detection of rare traits or diseases in a large population is challenging. Pool testing allows covering larger swathes of population at a reduced cost, while simplifying logistics. However, testing precision decreases as it becomes unclear…

信息论 · 计算机科学 2021-06-22 Éric Brier , Megi Dervishi , Rémi Géraud-Stewart , David Naccache , Ofer Yifrach-Stav

Multi-stream sequential change detection involves simultaneously monitoring many streams of data and trying to detect when their distributions change, if at all. Here, we theoretically study multiple testing issues that arise from detecting…

统计理论 · 数学 2025-02-04 Sanjit Dandapanthula , Aaditya Ramdas