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We study computational aspects of three prominent voting rules that use approval ballots to elect multiple winners. These rules are satisfaction approval voting, proportional approval voting, and reweighted approval voting. We first show…

Computer Science and Game Theory · Computer Science 2014-07-14 Haris Aziz , Serge Gaspers , Joachim Gudmundsson , Simon Mackenzie , Nicholas Mattei , Toby Walsh

Set-valued prediction is a well-known concept in multi-class classification. When a classifier is uncertain about the class label for a test instance, it can predict a set of classes instead of a single class. In this paper, we focus on…

Machine Learning · Computer Science 2022-03-15 Thomas Mortier , Eyke Hüllermeier , Krzysztof Dembczyński , Willem Waegeman

Voting problems are central in the area of social choice. In this article, we investigate various voting systems and types of control of elections. We present integer linear programming (ILP) formulations for a wide range of NP-hard control…

Computer Science and Game Theory · Computer Science 2015-09-03 Sergey Polyakovskiy , Rudolf Berghammer , Frank Neumann

We study two-stage committee elections where voters have dynamic preferences over candidates; at each stage, a committee is chosen under a given voting rule. We are interested in identifying a winning committee for the second stage that…

Computer Science and Game Theory · Computer Science 2024-08-21 Valentin Zech , Niclas Boehmer , Edith Elkind , Nicholas Teh

Many real world problems naturally appear as constraints satisfaction problems (CSP), for which very efficient algorithms are known. Most of these involve the combination of two techniques: some direct propagation of constraints between…

Artificial Intelligence · Computer Science 2013-04-12 Denis Berthier

Bipartite ranking is a fundamental ranking problem that learns to order relevant instances ahead of irrelevant ones. The pair-wise approach for bi-partite ranking construct a quadratic number of pairs to solve the problem, which is…

Machine Learning · Computer Science 2017-08-25 Wei-Yuan Shen , Hsuan-Tien Lin

The emergence of compositional reasoning in large language models through reinforcement learning with verifiable rewards (RLVR) has been a key driver of recent empirical successes. Despite this progress, it remains unclear which…

Machine Learning · Computer Science 2026-02-10 Daniel Barzilai , Yotam Wolf , Ronen Basri

The bribery problem in election has received considerable attention in the literature, upon which various algorithmic and complexity results have been obtained. It is thus natural to ask whether we can protect an election from potential…

Computational Complexity · Computer Science 2020-07-07 Lin Chen , Ahmed Sunny , Lei Xu , Shouhuai Xu , Zhimin Gao , Yang Lu , Weidong Shi , Nolan Shah

In 1876, Lewis Carroll proposed a voting system in which the winner is the candidate who with the fewest changes in voters' preferences becomes a Condorcet winner---a candidate who beats all other candidates in pairwise majority-rule…

Computational Complexity · Computer Science 2007-05-23 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

An important question in elections is the determine whether a candidate can be a winner when some votes are absent. We study this determining winner with the absent votes (WAV) problem when the votes are top-truncated. We show that the WAV…

Computer Science and Game Theory · Computer Science 2023-10-12 Qishen Han , Amélie Marian , Lirong Xia

Due to the large number of submissions that more and more conferences experience, finding an automatized way to well distribute the submitted papers among reviewers has become necessary. We model the peer-reviewing matching problem as a…

Multiagent Systems · Computer Science 2023-07-25 Gennaro Auricchio , Ruixiao Zhang , Jie Zhang , Xiaohao Cai

In many machine learning scenarios, looking for the best classifier that fits a particular dataset can be very costly in terms of time and resources. Moreover, it can require deep knowledge of the specific domain. We propose a new technique…

Machine Learning · Computer Science 2022-07-15 Cristina Cornelio , Michele Donini , Andrea Loreggia , Maria Silvia Pini , Francesca Rossi

We study the parameterized complexity of winner determination problems for three prevalent $k$-committee selection rules, namely the minimax approval voting (MAV), the proportional approval voting (PAV), and the Chamberlin-Courant's…

Computer Science and Game Theory · Computer Science 2023-06-13 Yongjie Yang , Jianxin Wang

The traditional election control problem focuses on the use of control to promote a single candidate. In parliamentary elections, however, the focus shifts: voters care no less about the overall governing coalition than the individual…

Computer Science and Game Theory · Computer Science 2025-03-07 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

Artificial Intelligence · Computer Science 2012-04-20 Andrew Lin

When agents are acting together, they may need a simple mechanism to decide on joint actions. One possibility is to have the agents express their preferences in the form of a ballot and use a voting rule to decide the winning action(s).…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

We propose a novel scoring concept for visual place recognition based on nearest neighbor descriptor voting and demonstrate how the algorithm naturally emerges from the problem formulation. Based on the observation that the number of votes…

Robotics · Computer Science 2018-06-08 Mathias Gehrig , Elena Stumm , Timo Hinzmann , Roland Siegwart

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

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 determine the exact threshold of satisfiability for random instances of a particular NP-complete constraint satisfaction problem (CSP). This is the first random CSP model for which we have determined a precise linear satisfiability…

Discrete Mathematics · Computer Science 2012-02-06 Harold Connamacher , Michael Molloy
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