English
Related papers

Related papers: Beyond Pairwise Comparisons in Social Choice: A Se…

200 papers

The paper considers the problem of finding the number of dominant voters in two-level voting procedures. At the first stage, voting is conducted among local groups of voters, and at the second stage, the results are aggregated to form a…

Discrete Mathematics · Computer Science 2025-06-11 N. I. Shushko , D. V. Lemtyuzhnikova

Rank aggregation based on pairwise comparisons over a set of items has a wide range of applications. Although considerable research has been devoted to the development of rank aggregation algorithms, one basic question is how to efficiently…

Machine Learning · Statistics 2016-12-22 Xi Chen , Kevin Jiao , Qihang Lin

Ensuring fairness in algorithmic ranking systems is a critical challenge with significant societal implications for hiring, recommendations, web search, and data management. Standard methods for aggregating multiple preference orders into a…

Data Structures and Algorithms · Computer Science 2026-05-25 Diptarka Chakraborty , Arya Mazumdar , Barna Saha , Alvin Hong Yao Yan

We introduce a correlation coefficient that is designed to deal with a variety of ranking formats including those containing non-strict (i.e., with-ties) and incomplete (i.e., unknown) preferences. The correlation coefficient is designed to…

Applications · Statistics 2019-02-19 Yeawon Yoo , Adolfo R. Escobedo , J. Kyle Skolfield

We formulate the problem of eliciting agents' preferences with the goal of finding a Kemeny ranking as a Dueling Bandits problem. Here the bandits' arms correspond to alternatives that need to be ranked and the feedback corresponds to a…

Machine Learning · Computer Science 2023-12-20 Anne-Marie George , Christos Dimitrakakis

An important aspect of AI design and ethics is to create systems that reflect aggregate preferences of the society. To this end, the techniques of social choice theory are often utilized. We propose a new social choice function motivated by…

Multiagent Systems · Computer Science 2021-03-02 Gergei Bana , Wojciech Jamroga , David Naccache , Peter Y. A. Ryan

Given a graph where vertices represent alternatives and arcs represent pairwise comparison data, the statistical ranking problem is to find a potential function, defined on the vertices, such that the gradient of the potential function…

Machine Learning · Statistics 2014-06-05 Braxton Osting , Christoph Brune , Stanley J. Osher

Rank aggregation is a task of combining the rankings of items from multiple users into a single ranking that best represents the users' rankings. Alabi et al. (AAAI'22) presents differentially-private (DP) polynomial-time approximation…

Data Structures and Algorithms · Computer Science 2025-11-17 Quentin Hillebrand , Pasin Manurangsi , Vorapong Suppakitpaisarn , Phanu Vajanopath

We consider sequential or active ranking of a set of n items based on noisy pairwise comparisons. Items are ranked according to the probability that a given item beats a randomly chosen item, and ranking refers to partitioning the items…

Machine Learning · Computer Science 2016-09-26 Reinhard Heckel , Nihar B. Shah , Kannan Ramchandran , Martin J. Wainwright

In this article we develop a new method for summarizing a ranking distribution, \textit{i.e.} a probability distribution on the symmetric group $\mathfrak{S}_n$, beyond the classical theory of consensus and Kemeny medians. Based on the…

Machine Learning · Statistics 2026-02-12 Stephan Clémençon , Ekhine Irurozki

Many hardness results in computational social choice make use of the fact that every directed graph may be induced as the pairwise majority relation of some preference profile. However, this fact requires a number of voters that is almost…

Computer Science and Game Theory · Computer Science 2017-04-24 Georg Bachmeier , Felix Brandt , Christian Geist , Paul Harrenstein , Keyvan Kardel , Dominik Peters , Hans Georg Seedig

This paper examines the problem of ranking a collection of objects using pairwise comparisons (rankings of two objects). In general, the ranking of $n$ objects can be identified by standard sorting methods using $n log_2 n$ pairwise…

Machine Learning · Computer Science 2011-12-13 Kevin G. Jamieson , Robert D. Nowak

Many applications motivate the distance measure between rankings, such as comparing top-k lists and rank aggregation for voting, and intrigue great interest to researchers. For example, for a search engine, the use of different ranking…

Discrete Mathematics · Computer Science 2012-07-17 Jianwen Chen , Yiping Li , Ling Feng

In this dissertation, we cover some recent advances in collaborative filtering and ranking. In chapter 1, we give a brief introduction of the history and the current landscape of collaborative filtering and ranking; chapter 2 we first talk…

Machine Learning · Computer Science 2020-02-28 Liwei Wu

One of the major challenges for collective intelligence is inconsistency, which is unavoidable whenever subjective assessments are involved. Pairwise comparisons allow one to represent such subjective assessments and to process them by…

Artificial Intelligence · Computer Science 2015-08-06 J. Fueloep , W. W. Koczkodaj , S. J. Szarek

Rank aggregation aims to combine the preference rankings of a number of alternatives from different voters into a single consensus ranking. As a useful model for a variety of practical applications, however, it is a computationally…

Neural and Evolutionary Computing · Computer Science 2022-01-12 Yangming Zhou , Jin-Kao Hao , Zhen Li , Fred Glover

This article is devoted to the problem of predicting the value taken by a random permutation $\Sigma$, describing the preferences of an individual over a set of numbered items $\{1,\; \ldots,\; n\}$ say, based on the observation of an…

Statistics Theory · Mathematics 2017-12-20 Stephan Clémençon , Anna Korba , Eric Sibony

We study the top-$K$ ranking problem where the goal is to recover the set of top-$K$ ranked items out of a large collection of items based on partially revealed preferences. We consider an adversarial crowdsourced setting where there are…

Information Retrieval · Computer Science 2016-02-16 Changho Suh , Vincent Y. F. Tan , Renbo Zhao

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

Rule learning approaches for knowledge graph completion are efficient, interpretable and competitive to purely neural models. The rule aggregation problem is concerned with finding one plausibility score for a candidate fact which was…

Artificial Intelligence · Computer Science 2023-09-04 Patrick Betz , Stefan Lüdtke , Christian Meilicke , Heiner Stuckenschmidt