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In this paper we discuss the problems of modern representative democracy and we look at the selection of legislators by lot as a way to tame some of the drawbacks of that system. It is recalled at the beginning that resorting to sortition…

Physics and Society · Physics 2019-02-26 Maurizio Caserta , Alessandro Pluchino , Andrea Rapisarda , Salvatore Spagano

Recent works have studied the design of algorithms for selecting representative sortition panels. However, the most central question remains unaddressed: Do these panels reflect the entire population's opinion? We present a positive answer…

Computer Science and Game Theory · Computer Science 2024-06-05 Ioannis Caragiannis , Evi Micha , Jannik Peters

We study proportional representation in the temporal voting model, where collective decisions are made repeatedly over time over a fixed horizon. Prior work has extensively investigated how proportional representation axioms from…

Computer Science and Game Theory · Computer Science 2026-05-13 Nicholas Teh

Population stratification is a problem encountered in several areas of biology and public health. We tackle this problem by mapping a population and its elements attributes into a hypergraph, a natural extension of the concept of graph or…

Populations and Evolution · Quantitative Biology 2009-11-13 Alexei Vazquez

Ranking functions that are used in decision systems often produce disparate results for different populations because of bias in the underlying data. Addressing, and compensating for, these disparate outcomes is a critical problem for fair…

Machine Learning · Computer Science 2024-04-23 Abraham Gale , Amélie Marian

Proportional representation plays a crucial role in electoral systems. In ordinal elections, where voters rank candidates based on their preferences, the Single Transferable Vote (STV) is the most widely used proportional voting method. STV…

Computer Science and Game Theory · Computer Science 2025-05-02 Tuva Bardal , Markus Brill , David McCune , Jannik Peters

The property of proportional representation in approval-based committee elections has appeared in the social choice literature for over a century, and is typically understood as avoiding the underrepresentation of minorities. However, we…

Data Structures and Algorithms · Computer Science 2021-09-14 Alfonso Cevallos , Alistair Stewart

Public opinion polling is usually done by random sampling from the entire population, treating individual opinions as independent. In the real world, individuals' opinions are often correlated, e.g., among friends in a social network. In…

Social and Information Networks · Computer Science 2016-11-28 Weiran Huang , Liang Li , Wei Chen

We study situations where a group of voters need to take a collective decision over a number of public issues, with the goal of getting a result that reflects the voters' opinions in a proportional manner. Our focus is on interconnected…

Computer Science and Game Theory · Computer Science 2025-09-25 Julian Chingoma , Umberto Grandi , Arianna Novaro

Demographic parity (DP) is a widely used group fairness criterion requiring predictive distributions to be invariant across sensitive groups. While natural in classification, full distributional DP is often overly restrictive in regression…

Machine Learning · Statistics 2026-03-27 Arthur Charpentier , Christophe Denis , Romuald Elie , Mohamed Hebiri , François HU

Standard sparse pseudo-input approximations to the Gaussian process (GP) cannot handle complex functions well. Sparse spectrum alternatives attempt to answer this but are known to over-fit. We suggest the use of variational inference for…

Machine Learning · Statistics 2015-03-23 Yarin Gal , Richard Turner

A well-known axiom for proportional representation is Proportionality of Solid Coalitions (PSC). We characterize committees satisfying PSC as possible outcomes of the Minimal Demand rule, which generalizes an approach pioneered by Michael…

Computer Science and Game Theory · Computer Science 2021-07-15 Haris Aziz , Barton E. Lee

We address the problem of correcting group discriminations within a score function, while minimizing the individual error. Each group is described by a probability density function on the set of profiles. We first solve the problem…

Artificial Intelligence · Computer Science 2018-06-11 El Mahdi El Mhamdi , Rachid Guerraoui , Lê Nguyên Hoang , Alexandre Maurer

The study of fair algorithms has become mainstream in machine learning and artificial intelligence due to its increasing demand in dealing with biases and discrimination. Along this line, researchers have considered fair versions of…

Data Structures and Algorithms · Computer Science 2023-01-11 Sayan Bandyapadhyay , Fedor V. Fomin , Tanmay Inamdar , Kirill Simonov

We study the problem of fair $k$-median where each cluster is required to have a fair representation of individuals from different groups. In the fair representation $k$-median problem, we are given a set of points $X$ in a metric space.…

Data Structures and Algorithms · Computer Science 2022-02-04 Zhen Dai , Yury Makarychev , Ali Vakilian

Fair classification and fair representation learning are two important problems in supervised and unsupervised fair machine learning, respectively. Fair classification asks for a classifier that maximizes accuracy on a given data…

Machine Learning · Computer Science 2024-10-08 Sushant Agarwal , Amit Deshpande

Divisor methods are well known to satisfy house monotonicity, which allows representative seats to be allocated sequentially. We focus on stationary divisor methods defined by a rounding cutpoint $c \in [0,1]$. For such methods with…

General Mathematics · Mathematics 2026-03-02 Michael A. Jones , Brittany Ohlinger , Jennifer Wilson

Current face recognition systems achieve high progress on several benchmark tests. Despite this progress, recent works showed that these systems are strongly biased against demographic sub-groups. Consequently, an easily integrable solution…

Computer Vision and Pattern Recognition · Computer Science 2020-11-06 Philipp Terhörst , Jan Niklas Kolf , Naser Damer , Florian Kirchbuchner , Arjan Kuijper

How to elect the representatives in legislative bodies is a question that every modern democracy has to answer. This design task has to consider various elements so as to fulfill the citizens' expectations and contribute to the maintenance…

Computer Science and Game Theory · Computer Science 2024-10-07 Javier Cembrano , José Correa , Gonzalo Díaz , Victor Verdugo

Collaborative Filtering~(CF) plays a crucial role in modern recommender systems, leveraging historical user-item interactions to provide personalized suggestions. However, CF-based methods often encounter biases due to imbalances in…

Information Retrieval · Computer Science 2025-11-18 Miaomiao Cai , Min Hou , Lei Chen , Le Wu , Haoyue Bai , Yong Li , Meng Wang
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