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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

The Bayesian Mallows model is a flexible tool for analyzing data in the form of complete or partial rankings, and transitive or intransitive pairwise preferences. In many potential applications of preference learning, data arrive…

Computation · Statistics 2025-11-26 Øystein Sørensen , Anja Stein , Waldir Leoncio Netto , David S. Leslie

We propose the Pseudo-Mallows distribution over the set of all permutations of $n$ items, to approximate the posterior distribution with a Mallows likelihood. The Mallows model has been proven to be useful for recommender systems where it…

Methodology · Statistics 2022-05-30 Qinghua Liu , Valeria Vitelli , Carlo Mannino , Arnoldo Frigessi , Ida Scheel

\textit{Mallows model} is a widely-used probabilistic framework for learning from ranking data, with applications ranging from recommendation systems and voting to aligning language models with human preferences~\cite{chen2024mallows,…

Machine Learning · Statistics 2025-07-14 Yeganeh Alimohammadi , Kiana Asgari

The aim of this work is to study the problem of prior elicitation for the Mallows model with Spearman's distance, a popular distance-based model for rankings or permutation data. Previous Bayesian inference for such model has been limited…

Methodology · Statistics 2019-01-31 Marta Crispino , Isadora Antoniano-Villalobos

Data in the form of rankings, ratings, pair comparisons or clicks are frequently collected in diverse fields, from marketing to politics, to understand assessors' individual preferences. Combining such preference data with features…

Methodology · Statistics 2024-02-19 Emilie Eliseussen , Arnoldo Frigessi , Valeria Vitelli

MSmix is a recently developed R package implementing maximum likelihood estimation of finite mixtures of Mallows models with Spearman distance for full and partial rankings. The package is designed to implement computationally tractable…

Methodology · Statistics 2024-06-24 Marta Crispino , Cristina Mollica , Lucia Modugno

The Mallows model is a popular distribution for ranked data. We empirically and theoretically analyze how the properties of rankings sampled from the Mallows model change when increasing the number of alternatives. We find that real-world…

Methodology · Statistics 2024-01-29 Niclas Boehmer , Piotr Faliszewski , Sonja Kraiczy

The Mallows model occupies a central role in parametric modelling of ranking data to learn preferences of a population of judges. Despite the wide range of metrics for rankings that can be considered in the model specification, the choice…

Methodology · Statistics 2022-09-21 Marta Crispino , Cristina Mollica , Valerio Astuti , Luca Tardella

This paper introduces the R package BayesVarSel which implements objective Bayesian methodology for hypothesis testing and variable selection in linear models. The package computes posterior probabilities of the competing hypotheses/models…

Other Statistics · Statistics 2016-11-28 Gonzalo Garcia-Donato , Anabel Forte

Rankings are a type of preference elicitation that arise in experiments where assessors arrange items, for example, in decreasing order of utility. Orderings of n items labelled {1,...,n} denoted are permutations that reflect strict…

Methodology · Statistics 2024-03-20 Luiza S. C. Piancastelli , Nial Friel

Clicking data, which exists in abundance and contains objective user preference information, is widely used to produce personalized recommendations in web-based applications. Current popular recommendation algorithms, typically based on…

Methodology · Statistics 2019-04-08 Qinghua Liu , Andrew Henry Reiner , Arnoldo Frigessi , Ida Scheel

We consider a preference learning setting where every participant chooses an ordered list of $k$ most preferred items among a displayed set of candidates. (The set can be different for every participant.) We identify a distance-based…

Machine Learning · Computer Science 2023-01-24 Yifan Feng , Yuxuan Tang

Machine learning models offer the potential to understand diverse datasets in a data-driven way, powering insights into individual disease experiences and ensuring equitable healthcare. In this study, we explore Bayesian inference for…

Machine Learning · Computer Science 2023-11-23 Beatrice Taylor , Cameron Shand , Chris J. D. Hardy , Neil Oxtoby

The classic Mallows model is a foundational tool for modeling user preferences. However, it has limitations in capturing real-world scenarios, where users often focus only on a limited set of preferred items and are indifferent to the rest.…

Machine Learning · Computer Science 2025-10-28 Shahrzad Haddadan , Sara Ahmadian

This article introduces the bpcs R package (Bayesian Paired Comparison in Stan) and the statistical models implemented in the package. This package aims to facilitate the use of Bayesian models for paired comparison data in behavioral…

Methodology · Statistics 2021-09-21 David Issa Mattos , Érika Martins Silva Ramos

The Mallows model, introduced in the seminal paper of Mallows 1957, is one of the most fundamental ranking distribution over the symmetric group $S_m$. To analyze more complex ranking data, several studies considered the Generalized Mallows…

Machine Learning · Computer Science 2019-06-05 Róbert Busa-Fekete , Dimitris Fotakis , Balázs Szörényi , Manolis Zampetakis

Learning how to aggregate ranking lists has been an active research area for many years and its advances have played a vital role in many applications ranging from bioinformatics to internet commerce. The problem of discerning reliability…

Methodology · Statistics 2021-04-16 Wanchuang Zhu , Yingkai Jiang , Jun S. Liu , Ke Deng

ProfileGLMM is an R package integrating Generalised Linear Mixed Models (GLMMs) as the outcome model for Bayesian profile regression. This statistical framework simultaneously i) explains the variation in the outcome and ii) clusters the…

Methodology · Statistics 2026-04-23 Matteo Amestoy , Mark A. van de Wiel , Wessel N. van Wieringen

Bayesian synthetic likelihood (BSL) is a popular method for estimating the parameter posterior distribution for complex statistical models and stochastic processes that possess a computationally intractable likelihood function. Instead of…

Computation · Statistics 2019-07-26 Ziwen An , Leah F South , Christopher Drovandi
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