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We study information theoretic methods for ranking biomarkers. In clinical trials there are two, closely related, types of biomarkers: predictive and prognostic, and disentangling them is a key challenge. Our first step is to phrase…

Machine Learning · Statistics 2016-12-06 Konstantinos Sechidis , Emily Turner , Paul D. Metcalfe , James Weatherall , Gavin Brown

Humans are routinely asked to evaluate the performance of other individuals, separating success from failure and affecting outcomes from science to education and sports. Yet, in many contexts, the metrics driving the human evaluation…

Physics and Society · Physics 2017-12-07 Luca Pappalardo , Paolo Cintia , Dino Pedreschi , Fosca Giannotti , Albert-Laszlo Barabasi

In 2019, Anderson et al. proposed the concept of rankability, which refers to a dataset's inherent ability to be meaningfully ranked. In this article, we give an expository review of the linear ordering problem (LOP) and then use it to…

Optimization and Control · Mathematics 2021-04-14 Thomas R. Cameron , Sebastian Charmot , Jonad Pulaj

Previous work on the competitive retrieval setting focused on a single-query setting: document authors manipulate their documents so as to improve their future ranking for a given query. We study a competitive setting where authors opt to…

Information Retrieval · Computer Science 2024-04-16 Haya Nachimovsky , Moshe Tennenholtz , Fiana Raiber , Oren Kurland

In the name of meritocracy, modern economies devote increasing amounts of resources to quantifying and ranking the performance of individuals and organisations. Rankings send out powerful signals, which lead to identify the actions of top…

Physics and Society · Physics 2019-11-27 Giacomo Livan

Pairwise comparisons based on human judgements are an effective method for determining rankings of items or individuals. However, as human biases perpetuate from pairwise comparisons to recovered rankings, they affect algorithmic decision…

Computers and Society · Computer Science 2024-08-26 Georg Ahnert , Antonio Ferrara , Claudia Wagner

Participants in socio-economic systems are often ranked based on their performance. Rankings conveniently reduce the complexity of such systems to ordered lists. Yet, it has been shown in many contexts that those who reach the top are not…

Physics and Society · Physics 2024-01-30 Federica De Domenico , Fabio Caccioli , Giacomo Livan , Guido Montagna , Oreste Nicrosini

In real life situations often paired comparisons involving alternatives of either full or partial profiles to mitigate cognitive burden are presented. For this situation the problem of finding optimal designs is considered in the presence…

Methodology · Statistics 2021-10-20 Eric Nyarko

Given two sources of evidence about a latent variable, one can combine the information from both by multiplying the likelihoods of each piece of evidence. However, when one or both of the observation models are misspecified, the…

Machine Learning · Computer Science 2021-03-24 Dmitrii Krasheninnikov , Rohin Shah , Herke van Hoof

Ranking data arises in a wide variety of application areas but remains difficult to model, learn from, and predict. Datasets often exhibit multimodality, intransitivity, or incomplete rankings---particularly when generated by humans---yet…

Machine Learning · Computer Science 2019-01-29 Stephen Ragain , Johan Ugander

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

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

We describe a seriation algorithm for ranking a set of items given pairwise comparisons between these items. Intuitively, the algorithm assigns similar rankings to items that compare similarly with all others. It does so by constructing a…

Machine Learning · Computer Science 2016-03-11 Fajwel Fogel , Alexandre d'Aspremont , Milan Vojnovic

This technical report studies the problem of ranking from pairwise comparisons in the classical Bradley-Terry-Luce (BTL) model, with a focus on score estimation. For general graphs, we show that, with sufficiently many samples, maximum…

Machine Learning · Statistics 2023-04-17 Yanxi Chen

Confronted with the challenge of identifying the most suitable metric to validate the merits of newly proposed models, the decision-making process is anything but straightforward. Given that comparing rankings introduces its own set of…

Information Retrieval · Computer Science 2024-08-30 Chiara Balestra , Andreas Mayr , Emmanuel Müller

While conventional ranking systems focus solely on maximizing the utility of the ranked items to users, fairness-aware ranking systems additionally try to balance the exposure for different protected attributes such as gender or race. To…

Machine Learning · Computer Science 2021-12-14 Omid Memarrast , Ashkan Rezaei , Rizal Fathony , Brian Ziebart

A common problem faced in statistical inference is drawing conclusions from paired comparisons, in which two objects compete and one is declared the victor. A probabilistic approach to such a problem is the Bradley-Terry model, first…

Applications · Statistics 2017-12-19 Gabriel C. Phelan , John T. Whelan

Prediction and modelling of competitive sports outcomes has received much recent attention, especially from the Bayesian statistics and machine learning communities. In the real world setting of outcome prediction, the seminal \'{E}l\H{o}…

Machine Learning · Statistics 2017-01-30 Franz J. Király , Zhaozhi Qian

Although being a crucial question for the development of machine learning algorithms, there is still no consensus on how to compare classifiers over multiple data sets with respect to several criteria. Every comparison framework is…

Machine Learning · Statistics 2023-07-06 Christoph Jansen , Malte Nalenz , Georg Schollmeyer , Thomas Augustin

Researchers are increasingly subjecting artificial intelligence systems to psychological testing. But to rigorously compare their cognitive capacities with humans and other animals, we must avoid both over- and under-stating our…

Artificial Intelligence · Computer Science 2025-03-05 Konstantinos Voudouris , Lucy G. Cheke , Eric Schulz