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When auxiliary information is available at the design stage, samples may be selected by means of balanced sampling. Deville and Tille proposed in 2004 a general algorithm to perform balanced sampling, named the cube method. In this paper,…

Statistics Theory · Mathematics 2012-11-26 Guillaume Chauvet

We consider a group of voters that needs to decide between two candidates. We propose a novel family of neutral and strategy-proof rules, which we call sequential unanimity rules. By demonstrating their formal equivalence to the M-winning…

Theoretical Economics · Economics 2024-05-01 Stergios Athanasoglou , Somouaoga Bonkoungou

When each voter rates or ranks several candidates for a single office, a strong Condorcet winner (SCW) is one who beats all others in two-way races. Among 21 electoral systems examined, 18 will sometimes make candidate X the winner even if…

Methodology · Statistics 2016-09-22 Richard B. Darlington

Visual Place Recognition has recently seen a surge of endeavours utilizing different ensemble approaches to improve VPR performance. Ideas like multi-process fusion or switching involve combining different VPR techniques together, utilizing…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Maria Waheed , Michael Milford , Xiaojun Zhai , Klaus McDonald-Maier , Shoaib Ehsan

Online learning to rank is a sequential decision-making problem where in each round the learning agent chooses a list of items and receives feedback in the form of clicks from the user. Many sample-efficient algorithms have been proposed…

Machine Learning · Statistics 2019-03-20 Tor Lattimore , Branislav Kveton , Shuai Li , Csaba Szepesvari

Distributed voting is a fundamental topic in distributed computing. In pull voting, in each step every vertex chooses a neighbour uniformly at random, and adopts its opinion. The voting is completed when all vertices hold the same opinion.…

Data Structures and Algorithms · Computer Science 2016-11-02 Colin Cooper , Robert Elsässer , Tomasz Radzik

Literature involving preferences of artificial agents or human beings often assume their preferences can be represented using a complete transitive binary relation. Much has been written however on different models of preferences. We review…

Artificial Intelligence · Computer Science 2018-01-17 Olivier Cailloux , Sébastien Destercke

Given a set of agents with approval preferences over each other, we study the task of finding $k$ matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of…

Computer Science and Game Theory · Computer Science 2021-02-16 Niclas Boehmer , Markus Brill , Ulrike Schmidt-Kraepelin

We extend Berge's Maximum Theorem to allow for incomplete preferences. We first provide a simple version of the Maximum Theorem for convex feasible sets and a fixed preference. Then, we show that if, in addition to the traditional…

Theoretical Economics · Economics 2021-11-17 Leandro Gorno , Alessandro Rivello

Recommender systems are one of the most pervasive applications of machine learning in industry, with many services using them to match users to products or information. As such it is important to ask: what are the possible fairness risks,…

Computers and Society · Computer Science 2019-03-12 Alex Beutel , Jilin Chen , Tulsee Doshi , Hai Qian , Li Wei , Yi Wu , Lukasz Heldt , Zhe Zhao , Lichan Hong , Ed H. Chi , Cristos Goodrow

This paper introduces a novel binary stability property for voting rules-called binary self-selectivity-by which a society considering whether to replace its voting rule using itself in pairwise elections will choose not to do so. In…

Theoretical Economics · Economics 2025-08-27 Héctor Hermida-Rivera , Toygar T. Kerman

Recommender systems are important to help users select relevant and personalised information over massive amounts of data available. We propose an unified framework called Preference Network (PN) that jointly models various types of domain…

Information Retrieval · Computer Science 2014-07-23 Tran The Truyen , Dinh Q. Phung , Svetha Venkatesh

We consider the task of collaborative preference completion: given a pool of items, a pool of users and a partially observed item-user rating matrix, the goal is to recover the \emph{personalized ranking} of each user over all of the items.…

Machine Learning · Statistics 2018-04-11 Julian Katz-Samuels , Clayton Scott

Condorcet's paradox is a fundamental result in social choice theory which states that there exist elections in which, no matter which candidate wins, a majority of voters prefer a different candidate. In fact, even if we can select any $k$…

Computer Science and Game Theory · Computer Science 2025-12-02 Moses Charikar , Prasanna Ramakrishnan , Kangning Wang

There is a class of models for pol/mil/econ bargaining and conflict that is loosely based on the Median Voter Theorem which has been used with great success for about 30 years. However, there are fundamental mathematical limitations to…

Computer Science and Game Theory · Computer Science 2015-05-12 Ben Wise , Steven Bankes

Epistemic social choice aims at unveiling a hidden ground truth given votes, which are interpreted as noisy signals about it. We consider here a simple setting where votes consist of approval ballots: each voter approves a set of…

Computer Science and Game Theory · Computer Science 2021-12-09 Tahar Allouche , Jérôme Lang , Florian Yger

Many applications, such as content moderation and recommendation, require reviewing and scoring a large number of alternatives. Doing so robustly is however very challenging. Indeed, voters' inputs are inevitably sparse: most alternatives…

Computer Science and Game Theory · Computer Science 2024-01-26 Youssef Allouah , Rachid Guerraoui , Lê-Nguyên Hoang , Oscar Villemaud

As the issue of robustness in AI systems becomes vital, statistical learning techniques that are reliable even in presence of partly contaminated data have to be developed. Preference data, in the form of (complete) rankings in the simplest…

Machine Learning · Computer Science 2023-03-24 Morgane Goibert , Clément Calauzènes , Ekhine Irurozki , Stéphan Clémençon

Rankings, representing preferences over a set of candidates, are widely used in many information systems, e.g., group decision making and information retrieval. It is of great importance to evaluate the consensus of the obtained rankings…

Artificial Intelligence · Computer Science 2019-07-29 Zhengui Xue , Zhiwei Lin , Hui Wang , Sally McClean

We focus on the one-to-one two-sided matching model with two disjoint sets of agents of equal size, where each agent in a set has preferences on the agents in the other set modeled by a linear order. A matching mechanism associates a set of…

Theoretical Economics · Economics 2024-11-27 Daniela Bubboloni , Michele Gori , Claudia Meo