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Many modern data analysis problems involve inferences from streaming data. However, streaming data is not easily amenable to the standard probabilistic modeling approaches, which assume that we condition on finite data. We develop…

机器学习 · 统计学 2015-07-23 James McInerney , Rajesh Ranganath , David M. Blei

For centuries, it has been widely believed that the influence of a small coalition of voters is negligible in a large election. Consequently, there is a large body of literature on characterizing the likelihood for an election to be…

理论经济学 · 经济学 2023-06-13 Lirong Xia

Bayesian aggregation lets election forecasters combine diverse sources of information, such as state polls and economic and political indicators: as in our collaboration with The Economist magazine. However, the demands of real-time…

统计方法学 · 统计学 2025-10-23 Geonhee Han , Andrew Gelman , Aki Vehtari

This paper presents a novel mechanism to endogenously determine the fair division of a state into electoral districts in a two-party setting. No geometric constraints are imposed on voter distributions or district shapes; instead, it is…

计算机科学与博弈论 · 计算机科学 2019-01-07 Jamie Tucker-Foltz

To assess the quality of a probabilistic prediction for stochastic dynamical systems (SDSs), scoring rules assign a numerical score based on the predictive distribution and the measured state. In this paper, we propose an…

信息论 · 计算机科学 2025-04-25 Tao Xu , Yushan Li , Jianping He

We use the ``map of elections'' approach of Szufa et al. (AAMAS-2020) to analyze several well-known vote distributions. For each of them, we give an explicit formula or an efficient algorithm for computing its frequency matrix, which…

计算机科学与博弈论 · 计算机科学 2023-01-12 Niclas Boehmer , Robert Bredereck , Edith Elkind , Piotr Faliszewski , Stanisław Szufa

Considering voting rules based on evaluation inputs rather than preference rankings modifies the paradigm of probabilistic studies of voting procedures. This article proposes several simulation models for generating evaluation-based voting…

应用统计 · 统计学 2024-03-18 Antoine Rolland , Jean-Baptiste Aubin , Irène Gannaz , Samuela Leoni

Compositional data find broad application across diverse fields due to their efficacy in representing proportions or percentages of various components within a whole. Spatial dependencies often exist in compositional data, particularly when…

统计方法学 · 统计学 2024-03-21 Teo Nguyen , Sarat Moka , Kerrie Mengersen , Benoit Liquet

We introduce supervised latent Dirichlet allocation (sLDA), a statistical model of labelled documents. The model accommodates a variety of response types. We derive an approximate maximum-likelihood procedure for parameter estimation, which…

机器学习 · 统计学 2010-03-04 David M. Blei , Jon D. McAuliffe

Methods are developed for eliciting a Dirichlet prior based upon bounds on the individual probabilities that hold with virtual certainty. This approach to selecting a prior is applied to a contingency table problem where it is demonstrated…

统计方法学 · 统计学 2017-03-10 Michael Evans , Irwin Guttman , Peiying Li

In this paper, a new method of detection of election fraud is proposed. This method is based on the calculation of the ratio of two standard normal random variables; estimation of parameters of obtained sample and comparison of these…

统计方法学 · 统计学 2022-09-20 Ivan H. Krykun

We consider the distributed single-winner metric voting problem on a line, where agents and alternative are represented by points on the line of real numbers, the agents are partitioned into disjoint districts, and the goal is to choose a…

计算机科学与博弈论 · 计算机科学 2023-01-05 Alexandros A. Voudouris

In the United States electoral system, a candidate is elected indirectly by winning a majority of electoral votes cast by individual states, the election usually being decided by the votes cast by a small number of "swing states" where the…

物理与社会 · 物理学 2012-11-06 G. C. Levine , B. Caravan , J. E. Cerise

We consider a type of pull voting suitable for discrete numeric opinions which can be compared on a linear scale, for example, 1 ('disagree strongly'), 2 ('disagree'), $\ldots,$ 5 ('agree strongly'). On observing the opinion of a random…

概率论 · 数学 2023-05-26 Colin Cooper , Tomasz Radzik , Takeharu Shiraga

Elections for public offices in democratic nations are large-scale examples of collective decision-making. As a complex system with a multitude of interactions among agents, we can anticipate that universal macroscopic patterns could emerge…

物理与社会 · 物理学 2025-01-14 Ritam Pal , Aanjaneya Kumar , M. S. Santhanam

In this paper we propose a semi-parametric Bayesian Generalized Least Squares estimator. In a generic setting where each error is a vector, the parametric Generalized Least Square estimator maintains the assumption that each error vector…

计量经济学 · 经济学 2023-02-01 Ruochen Wu , Melvyn Weeks

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

机器学习 · 统计学 2016-05-25 Alp Kucukelbir , David M. Blei

A core tension in the study of plurality elections is the clash between the classic Hotelling-Downs model, which predicts that two office-seeking candidates should position themselves at the median voter's policy, and the empirical…

计算机科学与博弈论 · 计算机科学 2025-03-04 Kiran Tomlinson , Tanvi Namjoshi , Johan Ugander , Jon Kleinberg

Directional data require specialized probability models because of the non-Euclidean and periodic nature of their domain. When a directional variable is observed jointly with linear variables, modeling their dependence adds an additional…

统计方法学 · 统计学 2022-12-22 Tong Zou , Hal S. Stern

This article * provides an overview of post-election audit sampling research and compares various approaches to calculating post-election audit sample sizes, focusing on risklimiting audits, * discusses fundamental concepts common to all…

应用统计 · 统计学 2009-09-30 Kathy Dopp