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Intuitively, the concept of similarity is the notion to measure an inexact matching between two entities of the same reference set. The notions of similarity and its close relative dissimilarity are widely used in many fields of Artificial…

Artificial Intelligence · Computer Science 2012-12-13 Lluís A. Belanche

Characterizing judgments of similarity within a perceptual or semantic domain, and making inferences about the underlying structure of this domain from these judgments, has an increasingly important role in cognitive and systems…

Neurons and Cognition · Quantitative Biology 2025-08-13 Jonathan D. Victor , Guillermo Aguilar , Suniyya A. Waraich

Comparing alternatives in pairs is a well-known method of ranking creation. Experts are asked to perform a series of binary comparisons and then, using mathematical methods, the final ranking is prepared. As experts conduct the individual…

Discrete Mathematics · Computer Science 2018-12-12 Konrad Kułakowski

In this paper, by introducing a new user similarity index base on the diffusion process, we propose a modified collaborative filtering (MCF) algorithm, which has remarkably higher accuracy than the standard collaborative filtering. In the…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Jian-Guo Liu , Tao Zhou , Zhao-Guo Xuan , Hong-An Che , Bing-Hong Wang , Yi-Cheng Zhang

This paper introduces a novel information-theoretic perspective on the relationship between prominent group fairness notions in machine learning, namely statistical parity, equalized odds, and predictive parity. It is well known that…

Information Theory · Computer Science 2024-10-25 Faisal Hamman , Sanghamitra Dutta

Given the increasing popularity of algorithms for overlapping clustering, in particular in social network analysis, quantitative measures are needed to measure the accuracy of a method. Given a set of true clusters, and the set of clusters…

Physics and Society · Physics 2013-08-05 Aaron F. McDaid , Derek Greene , Neil Hurley

Background: Alignment of biological sequences such as DNA, RNA or proteins is one of the most widely used tools in computational bioscience. All existing alignment algorithms rely on heuristic scoring schemes based on biological expertise.…

Genomics · Quantitative Biology 2008-10-27 Orion Penner , Peter Grassberger , Maya Paczuski

We consider the predictive problem of supervised ranking, where the task is to rank sets of candidate items returned in response to queries. Although there exist statistical procedures that come with guarantees of consistency in this…

Statistics Theory · Mathematics 2013-11-27 John C. Duchi , Lester Mackey , Michael I. Jordan

Real-world data typically contain a large number of features that are often heterogeneous in nature, relevance, and also units of measure. When assessing the similarity between data points, one can build various distance measures using…

Machine Learning · Statistics 2022-05-27 Aldo Glielmo , Claudio Zeni , Bingqing Cheng , Gabor Csanyi , Alessandro Laio

Comparing clusterings is central to evaluating unsupervised models, yet the many existing similarity measures can produce widely divergent, sometimes contradictory, evaluations. Clustering similarity measures are typically organized into…

Machine Learning · Statistics 2025-11-06 Alexander J. Gates

We propose a test of fairness in score-based ranking systems called matched pair calibration. Our approach constructs a set of matched item pairs with minimal confounding differences between subgroups before computing an appropriate measure…

We consider the problem of ranking a set of objects based on their performance when the measurement of said performance is subject to noise. In this scenario, the performance is measured repeatedly, resulting in a range of measurements for…

Performance · Computer Science 2025-02-04 Aravind Sankaran , Lars Karlsson , Paolo Bientinesi

Public opinion polling is usually done by random sampling from the entire population, treating individual opinions as independent. In the real world, individuals' opinions are often correlated, e.g., among friends in a social network. In…

Social and Information Networks · Computer Science 2016-11-28 Weiran Huang , Liang Li , Wei Chen

Ranked lists are frequently used by information retrieval (IR) systems to present results believed to be relevant to the users information need. Fairness is a relatively new but important aspect of these rankings to measure, joining a rich…

Information Retrieval · Computer Science 2022-01-11 Amifa Raj , Michael D. Ekstrand

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…

Methodology · Statistics 2017-04-28 Valeria Vitelli , Øystein Sørensen , Marta Crispino , Arnoldo Frigessi , Elja Arjas

This article reviews the problem of degree of closeness and interaction level in a social network by ranking users based on similarity score. This similarity is measured on the basis of social, geographic, educational, professional, shared…

Social and Information Networks · Computer Science 2014-08-15 Vasavi Akhila Dabeeru

Feature subset selection, as a special case of the general subset selection problem, has been the topic of a considerable number of studies due to the growing importance of data-mining applications. In the feature subset selection problem…

Machine Learning · Computer Science 2014-11-13 Tofigh Naghibi , Sarah Hoffmann , Beat Pfister

This paper proposes to establish the distance between partial preference orderings based on two very different approaches. The first approach corresponds to the brute force method based on combinatorics. It generates all possible complete…

Artificial Intelligence · Computer Science 2024-07-30 Jean Dezert , Andrii Shekhovtsov , Wojciech Salabun

We study ordinal approximation algorithms for maximum-weight bipartite matchings. Such algorithms only know the ordinal preferences of the agents/nodes in the graph for their preferred matches, but must compete with fully omniscient…

Computer Science and Game Theory · Computer Science 2017-07-07 Elliot Anshelevich , Wennan Zhu

Research on fairness in machine learning has been recently extended to recommender systems. One of the factors that may impact fairness is bias disparity, the degree to which a group's preferences on various item categories fail to be…

Information Retrieval · Computer Science 2019-08-05 Masoud Mansoury , Bamshad Mobasher , Robin Burke , Mykola Pechenizkiy