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Ladder tournaments are widely used to rank individuals in real-world organizations and games. Their mathematical properties however are still poorly understood. We formalize the ranking rule generated by a ladder tournament, and we show…

Combinatorics · Mathematics 2015-07-07 Roland Pongou , Bertrand Tchantcho , Narcisse Tedjeugang

We study the problem of ranking a set of items from nonactively chosen pairwise preferences where each item has feature information with it. We propose and characterize a very broad class of preference matrices giving rise to the Feature…

Machine Learning · Computer Science 2017-02-10 U. N. Niranjan , Arun Rajkumar

We study statistical discrimination of individuals based on payoff-irrelevant social identities in markets that utilize ratings and recommendations for social learning. Even though rating/recommendation algorithms can be designed to be fair…

Computer Science and Game Theory · Computer Science 2024-11-11 Yeon-Koo Che , Kyungmin Kim , Weijie Zhong

In this paper we introduce a new technique to analyze families of rankings focused on the study of structural properties of a new type of graphs. Given a finite number of elements and a family of rankings of those elements, we say that two…

Combinatorics · Mathematics 2014-03-26 Regino Criado , Esther Garcia , Francisco Pedroche , Miguel Romance

Determining a winner among a set of items using active pairwise comparisons under a limited budget is a challenging problem in preference-based learning. The goal of this study is to implement and evaluate the PARWiS algorithm, which shows…

Machine Learning · Computer Science 2026-03-03 Shailendra Bhandari

Partial orders may be used for modeling and summarising ranking data when the underlying order relations are less strict than a total order. They are a natural choice when the data are lists recording individuals' positions in queues in…

Methodology · Statistics 2024-08-28 Chuxuan , Jiang , Geoff K. Nicholls

Ranking objects is a simple and natural procedure for organizing data. It is often performed by assigning a quality score to each object according to its relevance to the problem at hand. Ranking is widely used for object selection, when…

Artificial Intelligence · Computer Science 2012-06-26 Or Zuk , Liat Ein-Dor , Eytan Domany

We present a physics-inspired method for inferring dynamic rankings in directed temporal networks - networks in which each directed and timestamped edge reflects the outcome and timing of a pairwise interaction. The inferred ranking of each…

Pairwise comparisons based on human judgements are an effective method for determining rankings of items or individuals. However, as human biases perpetuate from pairwise comparisons to recovered rankings, they affect algorithmic decision…

Computers and Society · Computer Science 2024-08-26 Georg Ahnert , Antonio Ferrara , Claudia Wagner

The paper aims at analyzing the least squares ranking method for generalized tournaments with possible missing and multiple paired comparisons. The bilateral relationships may reflect the outcomes of a sport competition, product…

Computer Science and Game Theory · Computer Science 2019-06-20 László Csató

Learning from implicit user feedback is challenging as we can only observe positive samples but never access negative ones. Most conventional methods cope with this issue by adopting a pairwise ranking approach with negative sampling.…

Information Retrieval · Computer Science 2021-01-20 Riku Togashi , Masahiro Kato , Mayu Otani , Shin'ichi Satoh

Pairwise comparison matrices are widely used in Multicriteria Decision Making. This article applies incomplete pairwise comparison matrices in the area of sport tournaments, namely proposing alternative rankings for the 2010 Chess Olympiad…

Applications · Statistics 2019-06-20 László Csató

We consider the problem of ranking a set of items from pairwise comparisons in the presence of features associated with the items. Recent works have established that $O(n\log(n))$ samples are needed to rank well when there is no feature…

Machine Learning · Computer Science 2021-02-10 Aadirupa Saha , Arun Rajkumar

In this paper, we propose a novel ranking framework for collaborative filtering with the overall aim of learning user preferences over items by minimizing a pairwise ranking loss. We show the minimization problem involves dependent random…

Pairwise ranking systems based on Maximum Likelihood Estimation (MLE), such as the Bradley-Terry model, are widely used to aggregate preferences from pairwise comparisons. However, their robustness under strategic data manipulation remains…

Machine Learning · Computer Science 2026-04-21 Junyi Yao , Zihao Zheng , Jiayu Long

This paper considers the ranking problem of candidates for a certain position based on ballot papers filled by voters. We suggest a ranking procedure of alternatives using cooperative game theory methods. For this, it is necessary to…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Kondratev , Vladimir Mazalov

Researchers have typically concentrated on analyzing what happens internally in a complex network and using this to distinguish between nodes. However, there has been less effort towards comparing between different networks. In this paper,…

Social and Information Networks · Computer Science 2015-03-03 Zeynab Bahrami Bidoni , Roy George

In this paper we consider the collaborative ranking setting: a pool of users each provides a small number of pairwise preferences between $d$ possible items; from these we need to predict preferences of the users for items they have not yet…

Machine Learning · Statistics 2015-07-17 Dohyung Park , Joe Neeman , Jin Zhang , Sujay Sanghavi , Inderjit S. Dhillon

Nonparametric tests provide robust and powerful alternatives to the corresponding least squares methods. There are two approaches to nonparametric pairwise comparisons of treatment effects, the method based on pairwise rankings and the…

Methodology · Statistics 2018-02-13 Hossein Mansouri , Fangyuan Zhang

We present pairwise fairness metrics for ranking models and regression models that form analogues of statistical fairness notions such as equal opportunity, equal accuracy, and statistical parity. Our pairwise formulation supports both…

Machine Learning · Computer Science 2020-01-08 Harikrishna Narasimhan , Andrew Cotter , Maya Gupta , Serena Wang
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