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We study crowdsourced PAC learning of threshold functions, where the labels are gathered from a pool of annotators some of whom may behave adversarially. This is yet a challenging problem and until recently has computationally and query…

Machine Learning · Computer Science 2022-12-07 Shiwei Zeng , Jie Shen

There is an innate human tendency, one might call it the "league table mentality," to construct rankings. Schools, hospitals, sports teams, movies, and myriad other objects are ranked even though their inherent multi-dimensionality would…

Econometrics · Economics 2021-09-16 Jiaying Gu , Roger Koenker

Most popular strategies to capture subjective judgments from humans involve the construction of a unidimensional relative measurement scale, representing order preferences or judgments about a set of objects or conditions. This information…

Applications · Statistics 2017-12-18 Maria Perez-Ortiz , Rafal K. Mantiuk

Pairwise learning or dyadic prediction concerns the prediction of properties for pairs of objects. It can be seen as an umbrella covering various machine learning problems such as matrix completion, collaborative filtering, multi-task…

Machine Learning · Computer Science 2016-06-15 Michiel Stock , Tapio Pahikkala , Antti Airola , Bernard De Baets , Willem Waegeman

Recommender Systems have become crucial in the modern world, commonly guiding users towards relevant content or products, and having a large influence over the decisions of users and citizens. However, ensuring transparency and user trust…

Information Retrieval · Computer Science 2025-03-10 Jorge Paz-Ruza , Amparo Alonso-Betanzos , Berta Guijarro-Berdiñas , Brais Cancela , Carlos Eiras-Franco

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

The standard way to evaluate language models on subjective tasks is through pairwise comparisons: an annotator chooses the "better" of two responses to a prompt. Leaderboards aggregate these comparisons into a single Bradley-Terry (BT)…

Machine Learning · Computer Science 2026-02-26 Hadi Khalaf , Serena L. Wang , Daniel Halpern , Itai Shapira , Flavio du Pin Calmon , Ariel D. Procaccia

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 the Bradley-Terry model for paired comparisons, and its extensions to include order effects and ties, the maximum likelihood estimates of probabilities of certain outcomes can be 0 or 1 under certain data configurations. This poses…

Statistics Theory · Mathematics 2007-06-13 Kenneth Butler , John T. Whelan

This paper considers ranking inference of $n$ items based on the observed data on the top choice among $M$ randomly selected items at each trial. This is a useful modification of the Plackett-Luce model for $M$-way ranking with only the top…

Methodology · Statistics 2023-01-09 Jianqing Fan , Zhipeng Lou , Weichen Wang , Mengxin Yu

Many of the existing approaches to assess and predict the performance of players, teams or products in competitive contests rely on the assumption that comparisons occur between pairs of such entities. There are, however, several real…

Physics and Society · Physics 2025-08-13 Jack Yeung , Daniel Kaiser , Filippo Radicchi

Regularized pairwise ranking with Gaussian kernels is one of the cutting-edge learning algorithms. Despite a wide range of applications, a rigorous theoretical demonstration still lacks to support the performance of such ranking estimators.…

Machine Learning · Statistics 2023-04-07 Guanhang Lei , Lei Shi

Recent work in recommender systems has emphasized the importance of fairness, with a particular interest in bias and transparency, in addition to predictive accuracy. In this paper, we focus on the state of the art pairwise ranking model,…

Information Retrieval · Computer Science 2021-08-02 Khalil Damak , Sami Khenissi , Olfa Nasraoui

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision making processes. Although ordinal information is crucial, there is a bias in the literature: cardinal models dominate. Ordinal models usually…

Optimization and Control · Mathematics 2020-12-15 Luca Faramondi , Gabriele Oliva , Sándor Bozóki

We propose a new framework for imitation learning -- treating imitation as a two-player ranking-based game between a policy and a reward. In this game, the reward agent learns to satisfy pairwise performance rankings between behaviors,…

Machine Learning · Computer Science 2023-01-18 Harshit Sikchi , Akanksha Saran , Wonjoon Goo , Scott Niekum

Given an undirected graph representing similarities between a set of items and an additive measure evaluating the items, we treat the position of a special subset of items in an ordinal ranking through a collection of combinatorial…

Data Structures and Algorithms · Computer Science 2026-05-05 Samuel Boardman

The simple pairwise comparison is a method to provide different criteria with weights. We show that the values of those weights (in particular the maximum) depend just on the number of criteria. Additionally, it is shown that the distance…

Theoretical Economics · Economics 2020-03-25 Stefan Lörcks

Selecting capable counsel can shape the outcome of litigation, yet evaluating law firm performance remains challenging. Widely used rankings prioritize prestige, size, and revenue rather than empirical litigation outcomes, offering little…

Computers and Society · Computer Science 2025-03-28 Alexandre Mojon , Robert Mahari , Sandro Claudio Lera

Algorithms which sort lists of real numbers into ascending order have been studied for decades. They are typically based on a series of pairwise comparisons and run entirely on chip. However people routinely sort lists which depend on…

Artificial Intelligence · Computer Science 2016-12-28 Samuel L Smith

Ranking, and inferences based on ranking of a set of entities, are important problems in numerous contexts. This is especially true in small area statistics where there may be only a limited amount of directly observed data from each entity…

Methodology · Statistics 2025-11-26 Snigdhansu Chatterjee , Gauri Sankar Datta , Yiren Hou , Abhyuday Mandal