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The problem of inference is applied to the process of work extraction from two constant heat capacity reservoirs, when the thermodynamic coordinates of the process are not fully specified. The information that is lacking, includes both the…

统计力学 · 物理学 2013-05-28 Ramandeep S. Johal , Renuka Rai , Guenter Mahler

Multi-winner approval elections are seen in a variety of settings ranging from academic societies and associations to public elections. In such elections, it is often the case that ballot-length restrictions are enforced; that is, where…

计算机科学与博弈论 · 计算机科学 2017-11-15 Barton E. Lee

Elections and opinion polls often have many candidates, with the aim to either rank the candidates or identify a small set of winners according to voters' preferences. In practice, voters do not provide a full ranking; instead, each voter…

计算机科学与博弈论 · 计算机科学 2019-08-16 Nikhil Garg , Lodewijk Gelauff , Sukolsak Sakshuwong , Ashish Goel

When selecting a subset of candidates (a so-called committee) based on the preferences of voters, proportional representation is often a major desideratum. When going beyond simplistic models such as party-list or district-based elections,…

计算机科学与博弈论 · 计算机科学 2023-02-07 Markus Brill , Jannik Peters

The median voter theorem has long been the default model of voter behavior and candidate choice. While contemporary work on the distribution of political opinion has emphasized polarization and an increasing gap between the "left" and the…

物理与社会 · 物理学 2021-03-25 Matthew I. Jones , Antonio D. Sirianni , Feng Fu

The metric distortion framework posits that n voters and m candidates are jointly embedded in a metric space such that voters rank candidates that are closer to them higher. A voting rule's purpose is to pick a candidate with minimum total…

计算机科学与博弈论 · 计算机科学 2023-07-03 Fatih Erdem Kizilkaya , David Kempe

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

数据结构与算法 · 计算机科学 2016-04-21 Arnab Bhattacharyya , Palash Dey

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

We study a model of temporal voting where there is a fixed time horizon, and at each round the voters report their preferences over the available candidates and a single candidate is selected. Prior work has adapted popular notions of…

计算机科学与博弈论 · 计算机科学 2025-02-11 Edith Elkind , Svetlana Obraztsova , Jannik Peters , Nicholas Teh

We study how electoral rules shape polarization dynamics when voters and candidates both adapt to repeated election outcomes. We introduce two geometric primitives for comparing rules under this feedback: the \emph{winner radius} $R_t =…

计算机科学与博弈论 · 计算机科学 2026-04-23 Sumit Mukherjee

The paper considers a general model of electoral systems combining district-based elections with a compensatory mechanism in order to create any outcome between strictly majoritarian and purely proportional seat allocation. It contains vote…

计算机科学与博弈论 · 计算机科学 2017-10-27 László Csató

Bizarrely shaped voting districts are frequently lambasted as likely instances of gerrymandering. In order to systematically identify such instances, researchers have devised several tests for so-called geographic compactness (i.e., shape…

组合数学 · 数学 2019-07-10 Boris Alexeev , Dustin G. Mixon

In party-approval multiwinner elections the goal is to allocate the seats of a fixed-size committee to parties based on the approval ballots of the voters over the parties. In particular, each voter can approve multiple parties and each…

计算机科学与博弈论 · 计算机科学 2022-11-28 Théo Delemazure , Tom Demeulemeester , Manuel Eberl , Jonas Israel , Patrick Lederer

Understanding political phenomena requires measuring the political preferences of society. We introduce a model based on mixtures of spatial voting models that infers the underlying distribution of political preferences of voters with only…

计算机与社会 · 计算机科学 2016-10-27 Alison Nahm , Alex Pentland , Peter Krafft

We survey and unify recent results on the existence of accurate algorithms for evaluating multivariate polynomials, and more generally for accurate numerical linear algebra with structured matrices. By "accurate" we mean that the computed…

数值分析 · 数学 2008-05-21 James Demmel , Ioana Dumitriu , Olga Holtz , Plamen Koev

Parameter estimation via M- and Z-estimation is equally powerful in semiparametric models for one-dimensional functionals due to a one-to-one relation between corresponding loss and identification functions via integration and…

统计理论 · 数学 2022-09-07 Timo Dimitriadis , Tobias Fissler , Johanna Ziegel

The map of elections framework is a methodology for visualizing and analyzing election datasets. So far, the framework was restricted to elections that have equal numbers of candidates, equal numbers of voters, and where all the (ordinal)…

计算机科学与博弈论 · 计算机科学 2026-01-27 Piotr Faliszewski , Jitka Mertlová , Pierre Nunn , Stanisław Szufa , Tomasz Wąs

We provide mechanisms and new metric distortion bounds for line-up elections. In such elections, a set of $n$ voters, $m$ candidates, and $\ell$ positions are all located in a metric space. The goal is to choose a set of candidates and…

计算机科学与博弈论 · 计算机科学 2025-02-25 Christopher Jerrett , Yue Han , Elliot Anshelevich

Here we present \texttt{electoral\_sim}, an open-source Python framework for simulating and comparing electoral systems across diverse voter preference distributions. The framework represents voters and candidates as points in a…

计算机科学与博弈论 · 计算机科学 2026-03-11 Sumit Mukherjee

Inference is a versatile tool that underlies scientific discovery, machine learning, and everyday decision-making: it describes how an agent updates a probability distribution as partial information is acquired from multiple measurements,…

统计力学 · 物理学 2026-01-27 Nathan Shettell , Alexia Auffèves