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Chess championships are often organised as a Swiss-system tournament, causing great challenges in ranking the participants due to the different strength of schedules and possible circular triads. The paper suggests that pairwise comparison…

应用统计 · 统计学 2016-11-03 Lászlo Csató

This version is ***superseded*** by a full version that can be found at http://www.itu.dk/people/pagh/papers/mining-jour.pdf, which contains stronger theoretical results and fixes a mistake in the reporting of experiments. Abstract:…

数据结构与算法 · 计算机科学 2010-02-17 Andrea Campagna , Rasmus Pagh

A principled approach to cyclicality and intransitivity in paired comparison data is developed. The proposed methodology enables more precise estimation of the underlying preference profile and facilitates the identification of all cyclic…

统计方法学 · 统计学 2025-10-08 Rahul Singh , Ori Davidov

The pairwise comparisons method is a convenient tool used when the relative order of preferences among different concepts (alternatives) needs to be determined. There are several popular implementations of this method, including the…

离散数学 · 计算机科学 2018-02-08 Konrad Kułakowski

Pairwise comparison data arise in many domains with subjective assessment experiments, for example in image and video quality assessment. In these experiments observers are asked to express a preference between two conditions. However, many…

机器学习 · 计算机科学 2020-04-14 Aliaksei Mikhailiuk , Clifford Wilmot , Maria Perez-Ortiz , Dingcheng Yue , Rafal Mantiuk

How to better reduce measurement variability and bias introduced by subjectivity in crowdsourced labelling remains an open question. We introduce a theoretical framework for understanding how random error and measurement bias enter into…

人机交互 · 计算机科学 2023-12-05 Hasti Narimanzadeh , Arash Badie-Modiri , Iuliia Smirnova , Ted Hsuan Yun Chen

This paper examines the problem of ranking a collection of objects using pairwise comparisons (rankings of two objects). In general, the ranking of $n$ objects can be identified by standard sorting methods using $n log_2 n$ pairwise…

机器学习 · 计算机科学 2011-12-13 Kevin G. Jamieson , Robert D. Nowak

The standard paired-sample testing approach in the multidimensional setting applies multiple univariate tests on the individual features, followed by p-value adjustments. Such an approach suffers when the data carry numerous features. A…

机器学习 · 统计学 2023-09-29 Ioannis Bargiotas , Argyris Kalogeratos , Nicolas Vayatis

Suppose an experiment is conducted on pairs of objects with outcome responses a continuous variable measuring the interactions among the pairs. Furthermore, assume the response variable is hard to measure numerically but easy to be coded…

统计方法学 · 统计学 2015-05-11 Abdul-Hamid Al-Ibrahim

Orthogonalization is one of few mathematical methods conforming to mathematical standards for approximation. Finding a consistent PC matrix of a given an inconsistent PC matrix is the main goal of a pairwise comparisons method. We introduce…

数值分析 · 数学 2024-04-25 Julio Benitez , Waldemar W. Koczkodaj , Adam Kowalczyk

The pairwise comparisons method is a convenient tool used when the relative order among different concepts (alternatives) needs to be determined. One popular implementation of the method is based on solving an eigenvalue problem for the…

离散数学 · 计算机科学 2015-09-25 Konrad Kułakowski

The simplest, most common paired samples consist of observations from two populations, with each observed response from one population corresponding to an observed response from the other population at the same value of an ordinal…

统计方法学 · 统计学 2024-04-09 Isabel Kloumann , Hannah Korevaar , Chris McConnell , Mark Tygert , Jessica Zhao

We propose a scalable Bayesian preference learning method for jointly predicting the preferences of individuals as well as the consensus of a crowd from pairwise labels. Peoples' opinions often differ greatly, making it difficult to predict…

机器学习 · 计算机科学 2019-12-13 Edwin Simpson , Iryna Gurevych

Data analysis require a pairwise proximity measure over objects. Recent work has extended this to situations where the distance information between objects is given as comparison results of distances between three objects (triplets). Humans…

机器学习 · 计算机科学 2023-02-21 Sarwan Ali , Muhammad Ahmad , Umair ul Hassan , Muhammad Asad Khan , Shafiq Alam , Imdadullah Khan

In a sequential regression setting, a decision-maker may be primarily concerned with whether the future observation will increase or decrease compared to the current one, rather than the actual value of the future observation. In this…

机器学习 · 计算机科学 2023-06-09 Youngseog Chung , Aaron Rumack , Chirag Gupta

Pairwise comparisons are widely used in decision analysis, preference modeling, and evaluation problems. In many practical situations, the observed comparison matrix is not reciprocal. This lack of reciprocity is often treated as a defect…

机器学习 · 统计学 2026-04-07 Jean-Pierre Magnot

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

计量经济学 · 经济学 2024-02-27 Felix Chan , Laszlo Matyas

With the advent of highly capable instruction-tuned neural language models, benchmarking in natural language processing (NLP) is increasingly shifting towards pairwise comparison leaderboards, such as LMSYS Arena, from traditional global…

计算与语言 · 计算机科学 2025-09-24 Georgii Levtsov , Dmitry Ustalov

Estimating a depth map from multiple views of a scene is a fundamental task in computer vision. As soon as more than two viewpoints are available, one faces the very basic question how to measure similarity across >2 image patches.…

计算机视觉与模式识别 · 计算机科学 2017-08-22 Wilfried Hartmann , Silvano Galliani , Michal Havlena , Luc Van Gool , Konrad Schindler

Large language models are often ranked according to their level of alignment with human preferences -- a model is better than other models if its outputs are more frequently preferred by humans. One of the popular ways to elicit human…

机器学习 · 计算机科学 2024-12-05 Ivi Chatzi , Eleni Straitouri , Suhas Thejaswi , Manuel Gomez Rodriguez