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Risk-limiting audits (RLAs) can provide routine, affirmative evidence that reported election outcomes are correct by checking a random sample of cast ballots. An efficient RLA requires checking relatively few ballots. Here we construct…

应用统计 · 统计学 2024-10-16 Jacob Spertus

For a voting ensemble that selects an odd-sized subset of the ensemble classifiers at random for each example, applies them to the example, and returns the majority vote, we show that any number of voters may minimize the error rate over an…

机器学习 · 计算机科学 2021-04-27 Eric Bax

We consider two symmetry metrics commonly used to analyze partisan gerrymandering: the Mean-Median Difference (MM) and Partisan Bias (PB). Our main results compare, for combinations of seats and votes achievable in districted elections, the…

计算机与社会 · 计算机科学 2025-07-15 Daryl DeFord , Ellen Veomett

Many statistical experiments involve comparing multiple population groups. For example, a public opinion poll may ask which of several political candidates commands the most support; a social scientific survey may report the most common of…

统计方法学 · 统计学 2019-03-20 Kenneth Hung , William Fithian

Metric distortion in social choice is a framework for evaluating how well voting rules minimize social cost when both voters and candidates exist in a shared metric space, with a voter's cost defined by their distance to a candidate. Voters…

计算机科学与博弈论 · 计算机科学 2025-02-14 Mohak Goyal , Sahasrajit Sarmasarkar

We consider elections where both voters and candidates can be associated with points in a metric space and voters prefer candidates that are closer to those that are farther away. It is often assumed that the optimal candidate is the one…

计算机科学与博弈论 · 计算机科学 2019-01-23 Grzegorz Pierczyński , Piotr Skowron

We consider elections where the voters come one at a time, in a streaming fashion, and devise space-efficient algorithms which identify an approximate winning committee with respect to common multiwinner proportional representation voting…

计算机科学与博弈论 · 计算机科学 2017-03-01 Palash Dey , Nimrod Talmon , Otniel van Handel

We survey the design of elections that are resilient to attempted interference by third parties. For example, suppose votes have been cast in an election between two candidates, and then each vote is randomly changed with a small…

概率论 · 数学 2021-07-13 Steven Heilman

The efficiency gap formula was introduced in to measure political gerrymandering. It played a key role in the Gill v. Whitford case whose appeal is currently before the Supreme Court, but it was very recently shown by Bernstein and Duchin…

物理与社会 · 物理学 2017-11-15 Kristopher Tapp

In randomized experiments with noncompliance, tests may focus on compliers rather than on the overall sample. Rubin (1998) put forth such a method, and argued that testing for the complier average causal effect and averaging permutation…

统计方法学 · 统计学 2016-02-23 Laura Forastiere , Fabrizia Mealli , Luke Miratrix

Risk-limiting audits (RLAs) are a significant tool in increasing confidence in the accuracy of elections. They consist of randomized algorithms which check that an election's vote tally, as reported by a vote tabulation system, corresponds…

计算机与社会 · 计算机科学 2023-05-09 Bar Karov , Moni Naor

We study positional voting rules when candidates and voters are embedded in a common metric space, and cardinal preferences are naturally given by distances in the metric space. In a positional voting rule, each candidate receives a score…

计算机科学与博弈论 · 计算机科学 2017-11-22 Yu Cheng , Shaddin Dughmi , David Kempe

Modern machine learning models are often constructed taking into account multiple objectives, e.g., minimizing inference time while also maximizing accuracy. Multi-objective hyperparameter optimization (MHPO) algorithms return such…

In this paper, we study the distortion bounds for voting mechanisms in multi-winner elections in general metric spaces. Our study pertains to the case in which each voter only reports her favorite candidate amongst $m$ possible choices.…

计算机科学与博弈论 · 计算机科学 2025-05-29 Gennaro Auricchio , Zeyu Ren , Zihe Wang , Jie Zhang

In light of the classic impossibility results of Arrow and Gibbard and Satterthwaite regarding voting with ordinal rules, there has been recent interest in characterizing how well common voting rules approximate the social optimum. In order…

计算机科学与博弈论 · 计算机科学 2017-08-29 Yu Cheng , Shaddin Dughmi , David Kempe

To improve the efficiency of Monte Carlo estimation, practitioners are turning to biased Markov chain Monte Carlo procedures that trade off asymptotic exactness for computational speed. The reasoning is sound: a reduction in variance due to…

机器学习 · 统计学 2019-01-03 Jackson Gorham , Lester Mackey

Risk-limiting audits (RLAs) can use information about which ballot cards contain which contests (card-style data, CSD) to ensure that each contest receives adequate scrutiny, without examining more cards than necessary. RLAs using CSD in…

应用统计 · 统计学 2023-09-19 Amanda K. Glazer , Jacob V. Spertus , Philip B. Stark

We consider a distributed voting problem with a set of agents that are partitioned into disjoint groups and a set of obnoxious alternatives. Agents and alternatives are represented by points in a metric space. The goal is to compute the…

计算机科学与博弈论 · 计算机科学 2024-12-17 Alexandros A. Voudouris

Reward Models (RMs) are crucial for aligning language models with human preferences. Currently, the evaluation of RMs depends on measuring accuracy against a validation set of manually annotated preference data. Although this method is…

机器学习 · 计算机科学 2025-02-17 Xueru Wen , Jie Lou , Yaojie Lu , Hongyu Lin , Xing Yu , Xinyu Lu , Ben He , Xianpei Han , Debing Zhang , Le Sun

Representative democracy in the United States relies on election systems that transmit votes into representatives in three key bodies: the two chambers of the federal legislature (House of Representatives and Senate) and the Electoral…

应用统计 · 统计学 2025-09-25 Lee Kennedy-Shaffer