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Political actors often manipulate redistricting plans to gain electoral advantages, a process known as gerrymandering. Several states have implemented institutional reforms to address this problem, such as establishing map-drawing…

Applications · Statistics 2025-08-12 Cory McCartan , Christopher T. Kenny , Tyler Simko , Emma Ebowe , Michael Y. Zhao , Kosuke Imai

In the metric distortion problem, a set of voters and candidates lie in a common metric space, and a committee of $k$ candidates must be elected. The objective is to minimize a social cost, defined as a function of the distances between…

Computer Science and Game Theory · Computer Science 2025-10-16 Javier Cembrano , Golnoosh Shahkarami

We propose a federated methodology to learn low-dimensional representations from a dataset that is distributed among several clients. In particular, we move away from the commonly-used cross-entropy loss in federated learning, and seek to…

Machine Learning · Computer Science 2022-10-04 Juan Cervino , Navid NaderiAlizadeh , Alejandro Ribeiro

In recent years, there has been a surge in effort to formalize notions of fairness in machine learning. We focus on centroid clustering--one of the fundamental tasks in unsupervised machine learning. We propose a new axiom ``proportionally…

Machine Learning · Computer Science 2024-11-05 Haris Aziz , Barton E. Lee , Sean Morota Chu , Jeremy Vollen

We introduce and study Minimum Cut Representability, a framework to solve optimization and feasibility problems over stable matchings by representing them as minimum s-t cut problems on digraphs over rotations. We provide necessary and…

Optimization and Control · Mathematics 2025-04-08 Yuri Faenza , Ayoub Foussoul , Chengyue He

Folklore suggests that policy gradient can be more robust to misspecification than its relative, approximate policy iteration. This paper studies the case of state-aggregated representations, where the state space is partitioned and either…

Machine Learning · Computer Science 2022-06-24 Daniel Russo

We introduce a non-partisan probability distribution on congressional redistricting of North Carolina which emphasizes the equal partition of the population and the compactness of districts. When random districts are drawn and the results…

Physics and Society · Physics 2014-11-03 Jonathan C. Mattingly , Christy Vaughn

One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of parameters trying to minimize a loss function. These changes are…

Machine Learning · Computer Science 2024-03-14 Rocio Gonzalez-Diaz , Miguel A. Gutiérrez-Naranjo , Eduardo Paluzo-Hidalgo

We introduce Flexible Representative Democracy (FRD), a novel hybrid of Representative Democracy (RD) and Direct Democracy (DD) in which voters can alter the issue-dependent weights of a set of elected representatives. In line with the…

Multiagent Systems · Computer Science 2022-11-17 Ben Abramowitz , Nicholas Mattei

This work studies the problem of constructing a representative workload from a given input analytical query workload where the former serves as an approximation with guarantees of the latter. We discuss our work in the context of workload…

Databases · Computer Science 2021-02-04 Shaleen Deep , Anja Gruenheid , Paraschos Koutris , Jeffrey Naughton , Stratis Viglas

In the last years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipf's systems, due to the discreteness of the variables and to the existence of two representations…

Data Analysis, Statistics and Probability · Physics 2022-11-29 Alvaro Corral , Isabel Serra , Ramon Ferrer-i-Cancho

This paper considers the problem of representative selection: choosing a subset of data points from a dataset that best represents its overall set of elements. This subset needs to inherently reflect the type of information contained in the…

Artificial Intelligence · Computer Science 2015-09-29 Elad Liebman , Benny Chor , Peter Stone

Direct democracy is a special case of an ensemble of classifiers, where every person (classifier) votes on every issue. This fails when the average voter competence (classifier accuracy) falls below 50%, which can happen in noisy settings…

Computer Science and Game Theory · Computer Science 2018-07-23 Malik Magdon-Ismail , Lirong Xia

Limited Voting (LV) is an approval-based method for multi-winner elections where all ballots are required to have a same fixed size. While it appears to be used as voting method in corporate governance and has some political applications,…

Computer Science and Game Theory · Computer Science 2024-07-26 Maaike Venema-Los , Zoé Christoff , Davide Grossi

Lying on the heart of intelligent decision-making systems, how policy is represented and optimized is a fundamental problem. The root challenge in this problem is the large scale and the high complexity of policy space, which exacerbates…

Machine Learning · Computer Science 2022-09-19 Min Zhang , Hongyao Tang , Jianye Hao , Yan Zheng

We study the computational complexity of the map redistricting problem (gerrymandering). Mathematically, the electoral district designer (gerrymanderer) attempts to partition a weighted graph into $k$ connected components (districts) such…

Computer Science and Game Theory · Computer Science 2024-01-09 Jack Dippel , Max Dupré la Tour , April Niu , Sanjukta Roy , Adrian Vetta

Liquid democracy with ranked delegations is a novel voting scheme that unites the practicability of representative democracy with the idealistic appeal of direct democracy: Every voter decides between casting their vote on a question at…

Computer Science and Game Theory · Computer Science 2024-03-07 Markus Utke , Ulrike Schmidt-Kraepelin

Several multi-winner systems that use approval voting have been developed but they each suffer from various problems. Six of these methods are discussed in this paper. They are Satisfaction Approval Voting, Minimax Approval Voting,…

Computer Science and Game Theory · Computer Science 2016-03-17 Toby Pereira

We study the problem of minimizing metric distortion in multi-winner elections, where a committee of size $k$ is selected from a set of candidates based on voters' ordinal preferences. We assume that voters and candidates are embedded on a…

Computer Science and Game Theory · Computer Science 2026-02-18 Negar Babashah , Hasti Karimi , Masoud Seddighin , Golnoosh Shahkarami

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

Computer Science and Game Theory · Computer Science 2024-11-05 Dominik Peters
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