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While PageRank has been extensively used to rank sport tournament participants (teams or individuals), its superiority over simpler ranking methods has been never clearly demonstrated. We use sports results from 18 major leagues to…

Social and Information Networks · Computer Science 2020-12-14 Yuhao Zhou , Ruijie Wang , Yi-Cheng Zhang , An Zeng , Matúš Medo

The task of ranking individuals or teams, based on a set of comparisons between pairs, arises in various contexts, including sporting competitions and the analysis of dominance hierarchies among animals and humans. Given data on which…

Machine Learning · Statistics 2022-10-21 M. E. J. Newman

Discussions on outstanding---positively and/or negatively---athletes are common practice. The rapidly grown amount of collected sports data now allow to support such discussions with state of the art statistical methodology. Given a…

Applications · Statistics 2011-10-11 Manuel J. A. Eugster

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

Trail running is an endurance sport in which athletes face severe physical challenges. Due to the growing number of participants, the organization of limited staff, equipment, and medical support in these races now plays a key role.…

Applications · Statistics 2020-07-14 Riccardo Fogliato , Natalia L. Oliveira , Ronald Yurko

Understanding the world and explaining it with scientific theories is a central aspiration of artificial intelligence research. Proposing theories, designing experiments to test them, and then revising them based on data are fundamental to…

Machine Learning · Computer Science 2025-10-16 Kanishk Gandhi , Michael Y. Li , Lyle Goodyear , Agam Bhatia , Louise Li , Aditi Bhaskar , Mohammed Zaman , Noah D. Goodman

Training of elite athletes requires regular physiological and medical monitoring to plan the schedule, intensity and volume of training, and subsequent recovery. In sports medicine, ECG-based analyses are well established. However, they…

Applications · Statistics 2018-09-27 Marcel Młyńczak , Hubert Krysztofiak

We suppose that performance is a random variable whose expectation is related to training inputs, and we study four performance measures in a statistical model that relates performance to training. Our aim is to carry out a robust…

Applications · Statistics 2019-02-07 Phil Scarf , Mansour Shrahili , Naif Alotaibi , Simon Jobson , Louis Passfield

The use of statistical methods in sport analytics has gained a rapidly growing interest over the last decade, and nowadays is common practice. In particular, the interest in understanding and predicting an athlete's performance throughout…

Methodology · Statistics 2021-01-21 Patric Dolmeta , Raffaele Argiento , Silvia Montagna

Guided by the belief of the scaling law, large language models (LLMs) have achieved impressive performance in recent years. However, scaling law only gives a qualitative estimation of loss, which is influenced by various factors such as…

Computation and Language · Computer Science 2024-09-16 Chuhan Wu , Ruiming Tang

In sports, there is a constant effort to improve metrics which assess player ability, but there has been almost no effort to quantify and compare existing metrics. Any individual making a management, coaching, or gambling decision is…

Applications · Statistics 2016-10-03 Alexander Franks , Alexander D'Amour , Daniel Cervone , Luke Bornn

The objective of this paper is to design performance metrics and respective formulas to quantitatively evaluate the achievement of set objectives and expected outcomes both at the course and program levels. Evaluation is defined as one or…

Physics Education · Physics 2015-09-16 Irfan Ahmed , Arif Bhatti

World record setting has long attracted public interest and scientific investigation. Extremal records summarize the limits of the space explored by a process, and the historical progression of a record sheds light on the underlying…

The development of sport performances in the future is a subject of myth and disagreement among experts. As arguments favoring and opposing such methodology were discussed, other publications empirically showed that the past development of…

Other Statistics · Statistics 2014-01-30 Geoffroy Berthelot

In modern physical education, data-driven evaluation methods have gradually attracted attention, especially the quantitative prediction of students' sports performance through machine learning model. The purpose of this study is to use a…

Machine Learning · Computer Science 2024-11-26 Shaoxuan Sun , Jingao Yuan , Yuelin Yang

The athletic achievements of African athletes in global running championships have long been subject to scientific and sociological inquiry. During the 1990s, a popular narrative emerged, suggesting that West African lineage conferred…

Physics and Society · Physics 2024-03-06 Tade Souaiaia , Nabie Fofanah , Rawle DeLisle , Sheena Mason

Extrapolating physical error rates to logical error rates requires many assumptions and thus can radically under- or overestimate the performance of an error correction implementation. We introduce logical randomized benchmarking, a…

Quantum Physics · Physics 2017-02-14 Joshua Combes , Christopher Granade , Christopher Ferrie , Steven T. Flammia

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

In this article, a new model based on techniques of differential equations is introduced to predict the athletic performance based training load and a data sample of the physical form of athletes arises. This model is an extension of the…

Classical Analysis and ODEs · Mathematics 2016-12-28 Marcos Matabuena , Rosana Rodriguez

Team performance is a ubiquitous area of inquiry in the social sciences, and it motivates the problem of team selection -- choosing the members of a team for maximum performance. Influential work of Hong and Page has argued that testing…

Data Structures and Algorithms · Computer Science 2018-03-28 Jon Kleinberg , Maithra Raghu