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Choice behavior and preferences typically involve numerous and subjective aspects that are difficult to be identified and quantified. For this reason, their exploration is frequently conducted through the collection of ordinal evidence in…

Methodology · Statistics 2018-10-10 Cristina Mollica , Luca Tardella

Multistage ranking models, including the popular Plackett-Luce distribution (PL), rely on the assumption that the ranking process is performed sequentially, by assigning the positions from the top to the bottom one (forward order). A recent…

Methodology · Statistics 2020-03-17 Cristina Mollica , Luca Tardella

Recent work has proposed stochastic Plackett-Luce (PL) ranking models as a robust choice for optimizing relevance and fairness metrics. Unlike their deterministic counterparts that require heuristic optimization algorithms, PL models are…

Information Retrieval · Computer Science 2021-07-08 Harrie Oosterhuis

This paper studies the problem of inferring a global preference based on the partial rankings provided by many users over different subsets of items according to the Plackett-Luce model. A question of particular interest is how to optimally…

Machine Learning · Statistics 2014-06-24 Bruce Hajek , Sewoong Oh , Jiaming Xu

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

In learning-to-rank (LTR), optimizing only the relevance (or the expected ranking utility) can cause representational harm to certain categories of items. Moreover, if there is implicit bias in the relevance scores, LTR models may fail to…

Machine Learning · Computer Science 2023-08-28 Sruthi Gorantla , Eshaan Bhansali , Amit Deshpande , Anand Louis

Ranking and comparing items is crucial for collecting information about preferences in many areas, from marketing to politics. The Mallows rank model is among the most successful approaches to analyse rank data, but its computational…

Methodology · Statistics 2017-04-28 Valeria Vitelli , Øystein Sørensen , Marta Crispino , Arnoldo Frigessi , Elja Arjas

Ranking entities such as algorithms, devices, methods, or models based on their performances, while accounting for application-specific preferences, is a challenge. To address this challenge, we establish the foundations of a universal…

Machine Learning · Computer Science 2026-03-25 Sébastien Piérard , Anaïs Halin , Anthony Cioppa , Adrien Deliège , Marc Van Droogenbroeck

We address the problem of active online assortment optimization problem with preference feedback, which is a framework for modeling user choices and subsetwise utility maximization. The framework is useful in various real-world applications…

Machine Learning · Computer Science 2024-03-01 Aadirupa Saha , Pierre Gaillard

We consider the problem of probably approximately correct (PAC) ranking $n$ items by adaptively eliciting subset-wise preference feedback. At each round, the learner chooses a subset of $k$ items and observes stochastic feedback indicating…

Machine Learning · Computer Science 2019-03-06 Aadirupa Saha , Aditya Gopalan

Mixture models of Plackett-Luce (PL) -- one of the most fundamental ranking models -- are an active research area of both theoretical and practical significance. Most previously proposed parameter estimation algorithms instantiate the EM…

Machine Learning · Computer Science 2023-02-13 Duc Nguyen , Anderson Y. Zhang

The analysis of rank ordered data has a long history in the statistical literature across a diverse range of applications. In this paper we consider the Extended Plackett-Luce model that induces a flexible (discrete) distribution over…

Applications · Statistics 2020-02-17 Stephen R. Johnson , Daniel A. Henderson , Richard J. Boys

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

Ranking data arises in a wide variety of application areas but remains difficult to model, learn from, and predict. Datasets often exhibit multimodality, intransitivity, or incomplete rankings---particularly when generated by humans---yet…

Machine Learning · Computer Science 2019-01-29 Stephen Ragain , Johan Ugander

Traditional approaches to ranking in web search follow the paradigm of rank-by-score: a learned function gives each query-URL combination an absolute score and URLs are ranked according to this score. This paradigm ensures that if the score…

Machine Learning · Computer Science 2012-07-03 Or Sheffet , Nina Mishra , Samuel Ieong

Ranking is a ubiquitous method for focusing the attention of human evaluators on a manageable subset of options. Its use as part of human decision-making processes ranges from surfacing potentially relevant products on an e-commerce site to…

Machine Learning · Computer Science 2024-10-31 Richa Rastogi , Thorsten Joachims

A simple generative model for rank ordered data with ties is presented. The model is based on ordering geometric latent variables and can be seen as the discrete counterpart of the Plackett-Luce (PL) model, a popular, relatively tractable…

Methodology · Statistics 2022-12-19 Daniel A. Henderson

Approaches for estimating preferences from human annotated data typically involves inducing a distribution over a ranked list of choices such as the Plackett-Luce model. Indeed, modern AI alignment tools such as Reward Modelling and Direct…

Machine Learning · Statistics 2025-08-20 Chirag Nagpal

The widely used Plackett-Luce ranking model assumes that individuals rank items by making repeated choices from a universe of items. But in many cases the universe is too big for people to plausibly consider all options. In the choice…

Machine Learning · Computer Science 2025-05-09 Ben Aoki-Sherwood , Catherine Bregou , David Liben-Nowell , Kiran Tomlinson , Thomas Zeng

Plackett-Luce gradient estimation enables the optimization of stochastic ranking models within feasible time constraints through sampling techniques. Unfortunately, the computational complexity of existing methods does not scale well with…

Machine Learning · Computer Science 2022-04-29 Harrie Oosterhuis
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