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Related papers: Optimal Full Ranking from Pairwise Comparisons

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This paper addresses the item ranking problem with associate covariates, focusing on scenarios where the preference scores can not be fully explained by covariates, and the remaining intrinsic scores, are sparse. Specifically, we extend the…

Methodology · Statistics 2024-07-15 Jianqing Fan , Jikai Hou , Mengxin Yu

We develop an algorithm to train individually fair learning-to-rank (LTR) models. The proposed approach ensures items from minority groups appear alongside similar items from majority groups. This notion of fair ranking is based on the…

Machine Learning · Statistics 2021-03-23 Amanda Bower , Hamid Eftekhari , Mikhail Yurochkin , Yuekai Sun

We consider the problem of top-k subset selection in Dueling Bandit problems with score information. Real-world pairwise ranking problems often exhibit a high degree of transitivity and prior work has suggested sampling methods that exploit…

Machine Learning · Computer Science 2021-01-01 Matthew Groves , Juergen Branke

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

Machine Learning · Computer Science 2013-02-12 H. Brendan McMahan

We consider data in the form of pairwise comparisons of n items, with the goal of precisely identifying the top k items for some value of k < n, or alternatively, recovering a ranking of all the items. We analyze the Copeland counting…

Machine Learning · Computer Science 2016-04-28 Nihar B. Shah , Martin J. Wainwright

Ranking algorithms find extensive usage in diverse areas such as web search, employment, college admission, voting, etc. The related rank aggregation problem deals with combining multiple rankings into a single aggregate ranking. However,…

Data Structures and Algorithms · Computer Science 2023-08-22 Diptarka Chakraborty , Syamantak Das , Arindam Khan , Aditya Subramanian

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

In online ranking, a learning algorithm sequentially ranks a set of items and receives feedback on its ranking in the form of relevance scores. Since obtaining relevance scores typically involves human annotation, it is of great interest to…

Machine Learning · Computer Science 2024-04-15 Mingyuan Zhang , Ambuj Tewari

In this paper, we consider large-scale ranking problems where one is given a set of (possibly non-redundant) pairwise comparisons and the underlying ranking explained by those comparisons is desired. We show that stochastic gradient descent…

Optimization and Control · Mathematics 2024-07-04 Benjamin Jarman , Lara Kassab , Deanna Needell , Alexander Sietsema

We attack the problem of getting a strict ranking (i.e. a ranking without equally ranked items) of $n$ items from a pairwise comparisons matrix. Basic structures are described, a first heuristical approach based on a condition, the…

Information Theory · Computer Science 2026-04-14 Jean-Pierre Magnot

We study a ranking and selection problem of learning from choice-based feedback with dynamic assortments. In this problem, a company sequentially displays a set of items to a population of customers and collects their choices as feedback.…

Machine Learning · Computer Science 2025-01-03 Junwen Yang , Yifan Feng

We consider the problem of learning the true ordering of a set of alternatives from largely incomplete and noisy rankings. We introduce a natural generalization of both the classical Mallows model of ranking distributions and the…

Machine Learning · Computer Science 2021-06-29 Dimitris Fotakis , Alkis Kalavasis , Konstantinos Stavropoulos

Rankings and ratings are commonly used to express preferences but provide distinct and complementary information. Rankings give ordinal and scale-free comparisons but lack granularity; ratings provide cardinal and granular assessments but…

Methodology · Statistics 2023-01-25 Michael Pearce , Elena A. Erosheva

Fair ranking problems arise in many decision-making processes that often necessitate a trade-off between accuracy and fairness. Many existing studies have proposed correction methods such as adding fairness constraints to a ranking model's…

Machine Learning · Computer Science 2022-04-26 Ryosuke Sonoda

Ranking a set of objects from the most dominant one to the least, based on the results of paired comparisons, proves to be useful in many contexts. Using the rankings of teams or individuals players in sports to seed tournaments is an…

Physics and Society · Physics 2016-03-15 Juyong Park

Many applications such as recommendation systems or sports tournaments involve pairwise comparisons within a collection of $n$ items, the goal being to aggregate the binary outcomes of the comparisons in order to recover the latent strength…

Statistics Theory · Mathematics 2023-07-13 Eglantine Karlé , Hemant Tyagi

This paper concerns with statistical estimation and inference for the ranking problems based on pairwise comparisons with additional covariate information such as the attributes of the compared items. Despite extensive studies, few prior…

Methodology · Statistics 2024-03-26 Jianqing Fan , Jikai Hou , Mengxin Yu

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

There are various parametric models for analyzing pairwise comparison data, including the Bradley-Terry-Luce (BTL) and Thurstone models, but their reliance on strong parametric assumptions is limiting. In this work, we study a flexible…

Machine Learning · Statistics 2016-09-29 Nihar B. Shah , Sivaraman Balakrishnan , Adityanand Guntuboyina , Martin J. Wainwright

We consider the problem of ranking objects from noisy pairwise comparisons, for example, ranking tennis players from the outcomes of matches. We follow a standard approach to this problem and assume that each object has an unobserved…

Social and Information Networks · Computer Science 2025-12-18 Daniel Sánchez Catalina , George T. Cantwell