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Iterative methods for computing matrix functions have been extensively studied and their convergence speed can be significantly improved with the right tuning of parameters and by mixing different iteration types. Handtuning the design…

Machine Learning · Computer Science 2025-07-17 Sungyoon Kim , Rajat Vadiraj Dwaraknath , Longling geng , Mert Pilanci

In a typical Internet-of-Things setting that involves scientific applications, a target computation can be evaluated in many different ways depending on the split of computations among various devices. On the one hand, different…

Performance · Computer Science 2022-08-09 Aravind Sankaran , Paolo Bientinesi

We provide an algorithm with constant running time that given a weighted tournament $T$, distinguishes with high probability of success between the cases that $T$ can be represented by a Bradley--Terry model, or cannot even be approximated…

Combinatorics · Mathematics 2016-09-19 Agelos Georgakopoulos , Konstantinos Tyros

Conducting pairwise comparisons is a widely used approach in curating human perceptual preference data. Typically raters are instructed to make their choices according to a specific set of rules that address certain dimensions of image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Hossein Talebi , Ehsan Amid , Peyman Milanfar , Manfred K. Warmuth

Ranking is fundamental to many areas, such as search engine optimization, human feedback for language models, as well as peer grading. Crowdsourcing, which is often used for these tasks, requires proper incentivization to ensure accurate…

Computer Science and Game Theory · Computer Science 2024-01-26 Kiriaki Frangias , Andrew Lin , Ellen Vitercik , Manolis Zampetakis

Subjective assessment tests are often employed to evaluate image processing systems, notably image and video compression, super-resolution among others and have been used as an indisputable way to provide evidence of the performance of an…

Multimedia · Computer Science 2023-11-13 Shima Mohammadi , Joao Ascenso

People are rated and ranked, towards algorithmic decision making in an increasing number of applications, typically based on machine learning. Research on how to incorporate fairness into such tasks has prevalently pursued the paradigm of…

Machine Learning · Computer Science 2019-02-07 Preethi Lahoti , Krishna P. Gummadi , Gerhard Weikum

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…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski

Most statistical models for pairwise comparisons, including the Bradley-Terry (BT) and Thurstone models and many extensions, make a relatively strong assumption of stochastic transitivity. This assumption imposes the existence of an…

Machine Learning · Statistics 2026-03-12 Sze Ming Lee , Yunxiao Chen

In this paper, we propose a novel ranking framework for collaborative filtering with the overall aim of learning user preferences over items by minimizing a pairwise ranking loss. We show the minimization problem involves dependent random…

Personalized item ranking has been a crucial component contributing to the performance of recommender systems. As a representative approach, pairwise ranking directly optimizes the ranking with user implicit feedback by constructing…

Information Retrieval · Computer Science 2024-07-30 Bowei He , Chen Ma

We consider the problem of estimating a ranking on a set of items from noisy pairwise comparisons given item features. We address the fact that pairwise comparison data often reflects irrational choice, e.g. intransitivity. Our key…

Machine Learning · Statistics 2020-06-30 Amanda Bower , Laura Balzano

Pairwise ranking models have been widely used to address recommendation problems. The basic idea is to learn the rank of users' preferred items through separating items into \emph{positive} samples if user-item interactions exist, and…

Information Retrieval · Computer Science 2020-09-09 Lu Yu , Shichao Pei , Chuxu Zhang , Shangsong Liang , Xiao Bai , Nitesh Chawla , Xiangliang Zhang

The seminal Bradley-Terry model exhibits transitivity, i.e., the property that the probabilities of player A beating B and B beating C give the probability of A beating C, with these probabilities determined by a skill parameter for each…

Methodology · Statistics 2025-04-10 Jess Spearing , Jonathan Tawn , David Irons , Tim Paulden

Pairwise comparison matrices are frequently applied in multi-criteria decision making. A weight vector is called efficient if no other weight vector is at least as good in approximating the elements of the pairwise comparison matrix, and…

Optimization and Control · Mathematics 2017-10-03 Sándor Bozóki , János Fülöp

Ranking a set of samples based on subjectivity, such as the experience quality of streaming video or the happiness of images, has been a typical crowdsourcing task. Numerous studies have employed paired comparison analysis to solve…

Human-Computer Interaction · Computer Science 2023-02-24 Ming-Hung Wang , Chia-Yuan Zhang , Jia-Ru Song

A method is given for determining a mixed social choice out of a paired-comparison matrix. The method combines a projection procedure introduced in previous papers of the same authors and a classical method due to Zermelo. The resulting…

Combinatorics · Mathematics 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

The recent development of online recommender systems has a focus on collaborative ranking from implicit feedback, such as user clicks and purchases. Different from explicit ratings, which reflect graded user preferences, the implicit…

Information Retrieval · Computer Science 2020-02-25 Chao Wang , Hengshu Zhu , Chen Zhu , Chuan Qin , Hui Xiong

Large Language Models (LLMs) have demonstrated promising capabilities as automatic evaluators in assessing the quality of generated natural language. However, LLMs still exhibit biases in evaluation and often struggle to generate coherent…

Computation and Language · Computer Science 2025-01-20 Yinhong Liu , Han Zhou , Zhijiang Guo , Ehsan Shareghi , Ivan Vulić , Anna Korhonen , Nigel Collier

Comparing alternatives in pairs is a very well known technique of ranking creation. The answer to how reliable and trustworthy ranking is depends on the inconsistency of the data from which it was created. There are many indices used for…

Discrete Mathematics · Computer Science 2020-01-28 Konrad Kułakowski , Dawid Talaga