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Learning in zero-sum games studies a situation where multiple agents competitively learn their strategy. In such multi-agent learning, we often see that the strategies cycle around their optimum, i.e., Nash equilibrium. When a game…

Computer Science and Game Theory · Computer Science 2025-03-06 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

Tracking sports players is a widely challenging scenario, specially in single-feed videos recorded in tight courts, where cluttering and occlusions cannot be avoided. This paper presents an analysis of several geometric and semantic visual…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Adrià Arbués-Sangüesa , Coloma Ballester , Gloria Haro

Sports video data is recorded for nearly every major tournament but remains archived and inaccessible to large scale data mining and analytics. It can only be viewed sequentially or manually tagged with higher-level labels which is time…

Computer Vision and Pattern Recognition · Computer Science 2017-12-27 Anurag Ghosh , Suriya Singh , C. V. Jawahar

Shooting location is a core indicator of offensive style in invasion sports. Existing basketball shot-chart analyses often use spatial information for descriptive visualization, location-based efficiency modeling, or clustering players into…

Methodology · Statistics 2026-03-26 Kazuhiro Yamada , Keisuke Fujii

Elite football is believed to have evolved in recent years, yet systematic evidence for the pace and form of that change remains sparse. Drawing on event-level records for 13,018 matches across ten top-tier men's and women's leagues in…

Combinatorial Scoring games, with the property `extra pass moves for a player does no harm', are characterized. The characterization involves an order embedding of Conway's Normal-play games. Also, we give a theorem for comparing games with…

Combinatorics · Mathematics 2015-05-11 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Advancements in technology have recently allowed us to collect and analyse large-scale fine-grained data about human performance, drastically changing the way we approach sports. Here, we provide the first comprehensive analysis of…

Physics and Society · Physics 2024-07-22 Onkar Sadekar , Sandeep Chowdhary , M. S. Santhanam , Federico Battiston

We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity among teams by the variance in the winning fraction from…

Data Analysis, Statistics and Probability · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

Models in which the number of goals scored by a team in a soccer match follow a Poisson distribution, or a closely related one, have been widely discussed. We here consider a soccer match as an experiment to assess which of two teams is…

Physics and Society · Physics 2009-09-29 G. K. Skinner , G. H. Freeman

The present work aims to improve the existing analysis on the performance of professional basketball players presenting a methodology to measure its performance and regularity.

Applications · Statistics 2015-01-15 Román Salmerón-Gómez , Samuel Gómez-Haro

We analyze how coaching strategies affect goal difference and home win probabilities using hand-coded Serie A match commentary (2011/12--2013/14). Our dataset captures in-game dynamics, referee actions, and team behavior. Applying…

In this paper, we predict the likelihood of a player making a shot in basketball from multiagent trajectories. Previous approaches to similar problems center on hand-crafting features to capture domain specific knowledge. Although…

Machine Learning · Statistics 2021-01-19 Mark Harmon , Abdolghani Ebrahimi , Patrick Lucey , Diego Klabjan

Gauging an individual's skill level is crucial, as it inherently shapes their behavior. Quantifying skill, however, is challenging because it is latent to the observed actions. To explore skill understanding in human behavior, we focus on…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Akihiro Kubota , Tomoya Hasegawa , Ryo Kawahara , Ko Nishino

Basketball shooting coaches agree that smoother shooting motions are better, but there is less agreement about what "smooth" means quantitatively or what part of the shooting motion needs to be smooth. Using ball tracking data from the…

Physics and Society · Physics 2025-06-18 Ruoqian Zhu , Dave Love , Scott Powers

Sports betting's recent federal legalisation in the USA coincides with the golden age of machine learning. If bettors can leverage data to reliably predict the probability of an outcome, they can recognise when the bookmaker's odds are in…

Machine Learning · Computer Science 2024-02-02 Conor Walsh , Alok Joshi

Sports analysis has gained paramount importance for coaches, scouts, and fans. Recently, computer vision researchers have taken on the challenge of collecting the necessary data by proposing several methods of automatic player and ball…

Computer Vision and Pattern Recognition · Computer Science 2022-04-11 Pegah Rahimian , Laszlo Toka

In many competitive settings, from education to politics, rules do not reward effort evenly, and thresholds (e.g., grade cutoffs or electoral majorities) make some moments disproportionately important. Success thus depends on efficiently…

Computer Science and Game Theory · Computer Science 2026-01-23 Masatsugu Yoshizawa , Yuta Kawamoto , Daisuke Takeshita

Game dynamics theory, as a field of science, the consistency of theory and experiment is essential. In the past 10 years, important progress has been made in the merging of the theory and experiment in this field, in which dynamics cycle is…

Theoretical Economics · Economics 2024-11-13 Zhijian Wang , Shujie Zhou , Qinmei Yao , Yijia Wang

Nowadays, it becomes a common practice to capture some data of sports games with devices such as GPS sensors and cameras and then use the data to perform various analyses on sports games, including tactics discovery, similar game retrieval,…

Computational Engineering, Finance, and Science · Computer Science 2024-07-30 Qianru Zhang , Zheng Wang , Cheng Long , Siu-Ming Yiu

From the viewpoint of networks, a ranking system for players or teams in sports is equivalent to a centrality measure for sports networks, whereby a directed link represents the result of a single game. Previously proposed network-based…

Physics and Society · Physics 2012-12-07 Shun Motegi , Naoki Masuda
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