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Related papers: On strict ranking by pairwise comparisons

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This paper considers the problem of ranking objects based on their latent merits using data from pairwise interactions. We allow for incomplete observation of these interactions and study what can be inferred about rankings in such…

Econometrics · Economics 2025-09-23 Federico Crippa , Danil Fedchenko

We focus on the problem of ranking $N$ objects starting from a set of noisy pairwise comparisons provided by a crowd of unequal workers, each worker being characterized by a specific degree of reliability, which reflects her ability to rank…

Machine Learning · Computer Science 2023-10-04 Alessandro Nordio , Alberto tarable , Emilio Leonardi

Heuristic Rating Estimation (HRE) is a newly proposed method supporting decisions analysis based on the use of pairwise comparisons. It allows that the ranking values of some alternatives (herein referred to as concepts) are initially…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski , Katarzyna Grobler-Dębska , Jarosław Wąs

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

Information Retrieval · Computer Science 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

Rankings are ubiquitous in the online world today. As we have transitioned from finding books in libraries to ranking products, jobs, job applicants, opinions and potential romantic partners, there is a substantial precedent that ranking…

Information Retrieval · Computer Science 2018-10-18 Ashudeep Singh , Thorsten Joachims

Low-rank approximation with zeros aims to find a matrix of fixed rank and with a fixed zero pattern that minimizes the Euclidean distance to a given data matrix. We study the critical points of this optimization problem using algebraic…

Algebraic Geometry · Mathematics 2022-04-26 Kaie Kubjas , Luca Sodomaco , Elias Tsigaridas

We consider spectral approaches to the problem of ranking n players given their incomplete and noisy pairwise comparisons, but revisit this classical problem in light of player covariate information. We propose three spectral ranking…

Machine Learning · Statistics 2022-04-07 Siu Lun Chau , Mihai Cucuringu , Dino Sejdinovic

This study proposes a new constraint handling technique for assisting metaheuristic optimization algorithms to solve constrained optimization problems more effectively and efficiently. Given any two solutions of any constrained optimization…

Optimization and Control · Mathematics 2023-10-23 Ting Huang , Qiang Zhang , Witold Pedrycz , Shanlin Yang

In this study, a pairwise comparison matrix is generalized to the case when coefficients create Lie group $G$, non necessarily abelian. A necessary and sufficient criterion for pairwise comparisons matrices to be consistent is provided.…

Logic · Mathematics 2018-07-12 Waldemar W. Koczkodaj , Jean-Pierre Magnot

Recently, ranking-based semantics is proposed to rank-order arguments from the most acceptable to the weakest one(s), which provides a graded assessment to arguments. In general, the ranking on arguments is derived from the strength values…

Artificial Intelligence · Computer Science 2014-12-04 Fuan Pu , Jian Luo , Yulai Zhang , Guiming Luo

We consider methods for aggregating preferences that are based on the resolution of discrete optimization problems. The preferences are represented by arbitrary binary relations (possibly weighted) or incomplete paired comparison matrices.…

Optimization and Control · Mathematics 2007-05-23 Pavel Chebotarev , Elena Shamis

We consider the problem of exact low-rank matrix completion from a geometric viewpoint: given a partially filled matrix M, we keep the positions of specified and unspecified entries fixed, and study how the minimal completion rank depends…

Statistics Theory · Mathematics 2019-09-24 Daniel Irving Bernstein , Grigoriy Blekherman , Rainer Sinn

The essence of distantly supervised relation extraction is that it is an incomplete multi-label classification problem with sparse and noisy features. To tackle the sparsity and noise challenges, we propose solving the classification…

Computation and Language · Computer Science 2014-11-18 Miao Fan , Deli Zhao , Qiang Zhou , Zhiyuan Liu , Thomas Fang Zheng , Edward Y. Chang

The task of a personalization system is to recommend items or a set of items according to the users' taste, and thus predicting their future needs. In this paper, we address such personalized recommendation problems for which one-bit…

Information Retrieval · Computer Science 2022-08-10 Aria Ameri , Arindam Bose , Mojtaba Soltanalian

This paper is devoted to the bipartite ranking problem, a classical statistical learning task, in a high dimensional setting. We propose a scoring and ranking strategy based on the PAC-Bayesian approach. We consider nonlinear additive…

Machine Learning · Statistics 2019-05-20 Benjamin Guedj , Sylvain Robbiano

We propose RoBiRank, a ranking algorithm that is motivated by observing a close connection between evaluation metrics for learning to rank and loss functions for robust classification. The algorithm shows a very competitive performance on…

Machine Learning · Statistics 2014-08-22 Hyokun Yun , Parameswaran Raman , S. V. N. Vishwanathan

Machine learning systems impact many stakeholders and groups of users, often disparately. Prior studies have reconciled conflicting user preferences by aggregating a high volume of manually labeled pairwise comparisons, but this technique…

Computers and Society · Computer Science 2020-12-04 Ryan Steed , Benjamin Williams

There has been great interest in fairness in machine learning, especially in relation to classification problems. In ranking-related problems, such as in online advertising, recommender systems, and HR automation, much work on fairness…

Machine Learning · Computer Science 2025-04-21 Andrii Kliachkin , Eleni Psaroudaki , Jakub Marecek , Dimitris Fotakis

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

Machine Learning · Computer Science 2012-07-02 Harald Steck

In this work, we consider ranking problems among a finite set of candidates: for instance, selecting the top-$k$ items among a larger list of candidates or obtaining the full ranking of all items in the set. These problems are often…

Machine Learning · Statistics 2025-06-04 Ruiting Liang , Jake A. Soloff , Rina Foygel Barber , Rebecca Willett