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In this paper, we describe an approach to rank sport players based on their efficiency. Although is extremely useful to analyze the performance of team games there is no unanimity on the use of a single index to perform such a ranking. We…

Optimization and Control · Mathematics 2018-02-21 Víctor Blanco , Román Salmerón , Samuel Gómez-Haro

A hockey player's plus-minus measures the difference between goals scored by and against that player's team while the player was on the ice. This measures only a marginal effect, failing to account for the influence of the others he is…

Applications · Statistics 2016-01-27 Robert B. Gramacy , Matt Taddy , Sen Tian

We propose a new mathematical model for the decision-making of players in football (soccer) and the efficiency of the game style. Our approach is based on $4$-networks, which is a mathematical concept that we introduce. The decision of…

General Mathematics · Mathematics 2024-01-31 Brahim Boudine

Orientation is a crucial skill for football players that becomes a differential factor in a large set of events, especially the ones involving passes. However, existing orientation estimation methods, which are based on computer-vision…

Machine Learning · Computer Science 2021-06-02 Adrià Arbués-Sangüesa , Adrián Martín , Paulino Granero , Coloma Ballester , Gloria Haro

The authors propose a parametric model called the arena model for prediction in paired competitions, i.e. paired comparisons with eliminations and bifurcations. The arena model has a number of appealing advantages. First, it predicts the…

Machine Learning · Computer Science 2018-11-28 Chenhe Zhang , Peiyuan Sun

The chances to win a football match can be significantly increased if the right tactic is chosen and the behavior of the opposite team is well anticipated. For this reason, every professional football club employs a team of game analysts.…

Machine Learning · Computer Science 2019-10-02 Eric Müller-Budack , Jonas Theiner , Robert Rein , Ralph Ewerth

Large language models hold significant potential for integrating various data types, such as text documents and database records, for advanced analytics. However, blending text and numerical data presents substantial challenges. LLMs need…

Computation and Language · Computer Science 2024-06-18 Yebowen Hu , Kaiqiang Song , Sangwoo Cho , Xiaoyang Wang , Hassan Foroosh , Dong Yu , Fei Liu

This paper introduces a novel self-learning framework that automates the label acquisition process for improving models for detecting players in broadcast footage of sports games. Unlike most previous self-learning approaches for improving…

Computer Vision and Pattern Recognition · Computer Science 2013-07-30 Kenji Okuma , David G. Lowe , James J. Little

The contribution of this paper is to provide a semantic model (using soft constraints) of the words used by web-users to describe objects in a language game; a game in which one user describes a selected object of those composing the scene,…

Computation and Language · Computer Science 2010-05-31 Sergio Guadarrama , David P. Pancho

Originally devised for baseball, the Pythagorean Won-Loss formula estimates the percentage of games a team should have won at a particular point in a season. For decades, this formula had no mathematical justification. In 2006, Steven…

Applications · Statistics 2013-10-21 Kevin D. Dayaratna , Steven J. Miller

In this article we revise the football's performance score called PlayeRank, designed and evaluated by Pappalardo et al.\ in 2019. First, we analyze the weights extracted from the Linear Support Vector Machine (SVM) that solves the…

Machine Learning · Computer Science 2024-10-29 Louise Schmidt , Cristian Lillo , Javier Bustos

An increasing number of domains are providing us with detailed trace data on human decisions in settings where we can evaluate the quality of these decisions via an algorithm. Motivated by this development, an emerging line of work has…

Artificial Intelligence · Computer Science 2016-06-17 Ashton Anderson , Jon Kleinberg , Sendhil Mullainathan

It is common to be interested in rankings or order relationships among entities. In complex settings where one does not directly measure a univariate statistic upon which to base ranks, such inferences typically rely on statistical models…

Methodology · Statistics 2022-04-12 Andres F. Barrientos , Deborshee Sen , Garritt L Page , David B Dunson

Sport analysis is crucial for team performance since it provides actionable data that can inform coaching decisions, improve player performance, and enhance team strategies. To analyze more complex features from game footage, a computer…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Adrian Manchado , Tanner Cellio , Jonathan Keane , Yiyang Wang

I present a simple and transparent standard for career greatness in baseball: any major league player with H > 2500 or HR > 350 or K > 2800 or W > 240 makes my Hall of Fame Cut. Rate statistics are avoided due to small sample issues and to…

Other Statistics · Statistics 2025-03-19 Shane T. Jensen

The proliferation of Large Language Models (LLMs) presents transformative potential for healthcare, yet practical deployment is hindered by the absence of frameworks that assess real-world clinical utility. Existing benchmarks test static…

It is well known that athletic and physical condition is affected by age. Plotting an individual athlete's performance against age creates a graph commonly called the player's aging curve. Despite the obvious interest to coaches and…

Applications · Statistics 2014-04-02 Alexander Wakim , Jimmy Jin

Good models require good training data. For overparameterized deep models, the causal relationship between training data and model predictions is increasingly opaque and poorly understood. Influence analysis partially demystifies training's…

Machine Learning · Computer Science 2024-04-02 Zayd Hammoudeh , Daniel Lowd

Predicting performance outcomes has the potential to transform training approaches, inform coaching strategies, and deepen our understanding of the factors that contribute to athletic success. Traditional non-automated data analysis in…

Human-Computer Interaction · Computer Science 2025-09-12 Melik Ozolcer , Tongze Zhang , Sang Won Bae

As a baseball game progresses, batters appear to perform better the more times they face a particular pitcher. The apparent drop-off in pitcher performance from one time through the order to the next, known as the Time Through the Order…

Applications · Statistics 2023-09-21 Ryan S. Brill , Sameer K. Deshpande , Abraham J. Wyner