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Ranking items based on pairwise comparisons is common, from using match outcomes to rank sports teams to using purchase or survey data to rank consumer products. Statistical inference-based methods such as the Bradley-Terry model, which…

物理与社会 · 物理学 2026-01-09 Sebastian Morel-Balbi , Alec Kirkley

We study the ranking of individuals, teams, or objects, based on pairwise comparisons between them, using the Bradley-Terry model. Estimates of rankings within this model are commonly made using a simple iterative algorithm first introduced…

机器学习 · 统计学 2023-08-16 M. E. J. Newman

Evaluating generative models is challenging because standard metrics often fail to reflect human preferences. Human evaluations are more reliable but costly and noisy, as participants vary in expertise, attention, and diligence. Pairwise…

机器学习 · 计算机科学 2026-05-13 Till Aczel , Lucas Theis , Roger Wattenhofer

Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

统计方法学 · 统计学 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

Ordinal regression refers to classifying object instances into ordinal categories. Ordinal regression is crucial for applications in various areas like facial age estimation, image aesthetics assessment, and even cancer staging, due to its…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Jinhong Wang , Jintai Chen , Jian Liu , Dongqi Tang , Danny Z. Chen , Jian Wu

Ordinal regression with anchored reference samples (ORARS) has been proposed for predicting the subjective Mean Opinion Score (MOS) of input stimuli automatically. The ORARS addresses the MOS prediction problem by pairing a test sample with…

机器学习 · 计算机科学 2022-07-07 Bin Su , Shaoguang Mao , Frank Soong , Zhiyong Wu

Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable.…

统计方法学 · 统计学 2024-08-27 Michael Pearce , Elena A. Erosheva

Ordinal classification models assign higher penalties to predictions further away from the true class. As a result, they are appropriate for relevant diagnostic tasks like disease progression prediction or medical image grading. The…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Adrian Galdran

Paired comparison data, where users evaluate items in pairs, play a central role in ranking and preference learning tasks. While ordinal comparison data intuitively offer richer information than binary comparisons, this paper challenges…

机器学习 · 统计学 2026-01-13 Shirong Xu , Jingnan Zhang , Junhui Wang

Deep neural networks are a family of computational models that are naturally suited to the analysis of hierarchical data such as, for instance, sequential data with the use of recurrent neural networks. In the other hand, ordinal regression…

机器学习 · 统计学 2021-01-08 Louis Falissard , Karim Bounebache , Grégoire Rey

Ordinal regression refers to classifying object instances into ordinal categories. It has been widely studied in many scenarios, such as medical disease grading, movie rating, etc. Known methods focused only on learning inter-class ordinal…

人工智能 · 计算机科学 2023-07-24 Jinhong Wang , Yi Cheng , Jintai Chen , Tingting Chen , Danny Chen , Jian Wu

Ordinal regression (OR, also called ordinal classification) is classification of ordinal data, in which the underlying target variable is categorical and considered to have a natural ordinal relation for the underlying explanatory variable.…

机器学习 · 计算机科学 2025-10-02 Ryoya Yamasaki

We propose a time-varying generalization of the Bradley-Terry model that allows for nonparametric modeling of dynamic global rankings of distinct teams. We develop a novel estimator that relies on kernel smoothing to pre-process the…

统计理论 · 数学 2020-03-03 Heejong Bong , Wanshan Li , Shamindra Shrotriya , Alessandro Rinaldo

In this work, we leverage a generative data model considering comparison noise to develop a fast, precise, and informative ranking algorithm from pairwise comparisons that produces a measure of confidence on each comparison. The problem of…

机器学习 · 计算机科学 2025-07-24 Filipa Valdeira , Cláudia Soares

Image ordinal estimation is to predict the ordinal label of a given image, which can be categorized as an ordinal regression problem. Recent methods formulate an ordinal regression problem as a series of binary classification problems. Such…

计算机视觉与模式识别 · 计算机科学 2021-02-23 Haiping Zhu , Hongming Shan , Yuheng Zhang , Lingfu Che , Xiaoyang Xu , Junping Zhang , Jianbo Shi , Fei-Yue Wang

Ordinal Regression (OR) aims to model the ordering information between different data categories, which is a crucial topic in multi-label learning. An important class of approaches to OR models the problem as a linear combination of basis…

机器学习 · 计算机科学 2019-10-21 Chang Li , Maarten de Rijke

In randomized controlled trials, ordinal outcomes typically improve statistical efficiency over binary outcomes. The treatment effect on an ordinal outcome is usually described by the odds ratio from a proportional odds model, but this…

统计方法学 · 统计学 2026-01-01 Lindsey E. Turner , Carolyn T. Bramante , Thomas A. Murray

A regression model is proposed for the analysis of an ordinal response variable depending on a set of multiple covariates containing ordinal and potentially other variables. The proportional odds model (McCullagh (1980)) is used for the…

统计方法学 · 统计学 2018-04-25 Javier Espinosa , Christian Hennig

Unlike standard linear regression, quantile regression captures the relationship between covariates and the conditional response distribution as a whole, rather than only the relationship between covariates and the expected value of the…

统计方法学 · 统计学 2019-11-19 Isabella N Grabski , Roberta De Vito , Barbara E Engelhardt

This article describes an R package bqror that estimates Bayesian quantile regression for ordinal models introduced in Rahman (2016). The paper classifies ordinal models into two types and offers computationally efficient, yet simple,…

计量经济学 · 经济学 2023-05-30 Prajual Maheshwari , Mohammad Arshad Rahman
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