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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…

统计方法学 · 统计学 2020-03-17 Cristina Mollica , Luca Tardella

The forward order assumption postulates that the ranking process of the items is carried out by sequentially assigning the positions from the top (most-liked) to the bottom (least-liked) alternative. This assumption has been recently…

统计方法学 · 统计学 2020-03-17 Cristina Mollica , Luca Tardella

The elicitation of an ordinal judgment on multiple alternatives is often required in many psychological and behavioral experiments to investigate preference/choice orientation of a specific population. The Plackett-Luce model is one of the…

统计方法学 · 统计学 2016-10-10 Cristina Mollica , Luca Tardella

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…

应用统计 · 统计学 2020-02-17 Stephen R. Johnson , Daniel A. Henderson , Richard J. Boys

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…

统计方法学 · 统计学 2022-12-19 Daniel A. Henderson

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…

机器学习 · 计算机科学 2019-01-29 Stephen Ragain , Johan Ugander

In this paper we propose a Bayesian nonparametric model for clustering partial ranking data. We start by developing a Bayesian nonparametric extension of the popular Plackett-Luce choice model that can handle an infinite number of choice…

机器学习 · 统计学 2014-08-04 François Caron , Yee Whye Teh , Thomas Brendan Murphy

Multinomial logistic regression is one of the most popular models for modelling the effect of explanatory variables on a subject choice between a set of specified options. This model has found numerous applications in machine learning,…

统计方法学 · 统计学 2012-10-19 Cedric Archambeau , Francois Caron

We propose the use of probability models for ranked data as a useful alternative to a quantitative data analysis to investigate the outcome of bioassay experiments, when the preliminary choice of an appropriate normalization method for the…

统计方法学 · 统计学 2014-01-08 Cristina Mollica , Luca Tardella

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…

统计方法学 · 统计学 2017-04-28 Valeria Vitelli , Øystein Sørensen , Marta Crispino , Arnoldo Frigessi , Elja Arjas

The statistical modelling of ranking data has a long history and encompasses various perspectives on how observed rankings arise. One of the most common models, the Plackett-Luce model, is frequently used to aggregate rankings from multiple…

统计方法学 · 统计学 2025-07-02 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

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…

信息检索 · 计算机科学 2021-07-08 Harrie Oosterhuis

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…

机器学习 · 计算机科学 2023-02-13 Duc Nguyen , Anderson Y. Zhang

We investigate the Plackett-Luce (PL) model based listwise learning-to-rank (LTR) on data with partitioned preference, where a set of items are sliced into ordered and disjoint partitions, but the ranking of items within a partition is…

机器学习 · 计算机科学 2021-03-01 Jiaqi Ma , Xinyang Yi , Weijing Tang , Zhe Zhao , Lichan Hong , Ed H. Chi , Qiaozhu Mei

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…

统计方法学 · 统计学 2023-01-09 Jianqing Fan , Zhipeng Lou , Weichen Wang , Mengxin Yu

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…

机器学习 · 计算机科学 2024-03-01 Aadirupa Saha , Pierre Gaillard

We present a novel Bayesian nonparametric regression model for covariates X and continuous, real response variable Y. The model is parametrized in terms of marginal distributions for Y and X and a regression function which tunes the…

统计方法学 · 统计学 2015-06-25 Tristan Gray-Davies , Chris Holmes , Francois Caron

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…

统计计算 · 统计学 2025-11-26 Øystein Sørensen , Anja Stein , Waldir Leoncio Netto , David S. Leslie

This paper introduces the Mixed Aggregate Preference Logit (MAPL, pronounced "maple'') model, a novel class of discrete choice models that leverages machine learning to model unobserved heterogeneity in discrete choice analysis. The…

计量经济学 · 经济学 2025-03-05 Connor R. Forsythe , Cristian Arteaga , John P. Helveston

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

统计方法学 · 统计学 2016-10-28 Toby Kenney , Hao He , Hong Gu
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