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Understanding football tactics is crucial for managers and analysts. Previous research has proposed models based on spatial and kinematic equations, but these are computationally expensive. Also, Reinforcement learning approaches use player…

Artificial Intelligence · Computer Science 2025-06-23 Kenjiro Ide , Taiga Someya , Kohei Kawaguchi , Keisuke Fujii

Action scene understanding in soccer is a challenging task due to the complex and dynamic nature of the game, as well as the interactions between players. This article provides a comprehensive overview of this task divided into action…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Karolina Seweryn , Anna Wróblewska , Szymon Łukasik

Player tracking data have provided great opportunities to generate novel insights into understudied areas of American football, such as pre-snap motion. Using a Bayesian multilevel model with heterogeneous variances, we provide an…

Applications · Statistics 2025-02-25 Quang Nguyen , Ronald Yurko

Objectively quantifying the value of player actions in football (soccer) is a challenging problem. To date, studies in football analytics have mainly focused on the attacking side of the game, while there has been less work on event-driven…

Artificial Intelligence · Computer Science 2021-06-04 Charbel Merhej , Ryan Beal , Sarvapali Ramchurn , Tim Matthews

To analyze the movements and to study the trajectories of players is a crucial need for a team when it looks to improve its chances of winning a match or to understand its performances. State of the art tracking systems now produce…

Applications · Statistics 2016-12-01 Rodolfo Metulini

It is often said that a sign of a great player is that he makes the players around him better. The player may or may not score much himself, but his teammates perform better when he plays. One way a hockey player can improve his or her…

Applications · Statistics 2013-07-25 Brian Macdonald , Christopher Weld , David C. Arney

Mobile games are extremely popular and engage millions of people every day. Even if they are often quite simple, their development features a high degree of difficulty and requires close attention to both achieve a high satisfaction from…

Computers and Society · Computer Science 2017-03-14 Daniele Grassi , Giacomo Barigazzi , Giacomo Cabri

Fantasy Premier League (FPL) performance predictors tend to base their algorithms purely on historical statistical data. The main problems with this approach is that external factors such as injuries, managerial decisions and other…

Machine Learning · Computer Science 2019-12-17 Nicholas Bonello , Joeran Beel , Seamus Lawless , Jeremy Debattista

The success of a football team depends on various individual skills and performances of the selected players as well as how cohesively they perform. We propose a two-stage process for selecting optimal playing eleven of a football team from…

Applications · Statistics 2023-04-14 Soudeep Deb , Shubhabrata Das

The Elo rating system is a simple and widely used method for calculating players' skills from paired comparisons data. Many have extended it in various ways. Yet the question of updating players' variances remains to be further explored. In…

Applications · Statistics 2023-10-17 Hsuan-Fu Hua , Ching-Ju Chang , Tse-Ching Lin , Ruby Chiu-Hsing Weng

We study the problem of characterizing the set of games that are consistent with observed equilibrium play. Our contribution is to develop and analyze a new methodology based on convex optimization to address this problem for many classes…

Computer Science and Game Theory · Computer Science 2017-03-23 Juba Ziani , Venkat Chandrasekaran , Katrina Ligett

In this study, we investigate the interplay between player speed and ball control in soccer. We present a novel pitch control algorithm that quantifies the probability of a player gaining possession at any location on the field. Our model…

Physics and Society · Physics 2026-04-15 Marco F. da Silva , A. Novillo , A. Aleta , R. Lopez del Campo , R. Resta , Y. Moreno , J. M. Buldu

Football (soccer) is a sport that is characterised by complex game play, where players perform a variety of actions, such as passes, shots, tackles, fouls, in order to score goals, and ultimately win matches. Accurately forecasting the…

Machine Learning · Computer Science 2025-11-25 Michael Horton , Patrick Lucey

Tackling is a fundamental defensive move in American football, with the main purpose of stopping the forward motion of the ball-carrier. However, current tackling metrics are manually recorded outcomes that are inherently flawed due to…

Applications · Statistics 2025-01-08 Quang Nguyen , Ruitong Jiang , Meg Ellingwood , Ronald Yurko

We study a simple adaptive model in the framework of an N -player normal form game. The model consists of a repeated game where the players only know their own action space and their own payoff scored at each stage, not those of the other…

Computer Science and Game Theory · Computer Science 2017-06-12 Mario Bravo

In this paper, market values of the football players in the forward positions are estimated using multiple linear regression by including the physical and performance factors in 2017-2018 season. Players from 4 major leagues of Europe are…

Applications · Statistics 2018-07-04 Yunus Kologlu , Hasan Birinci , Sevde Ilgaz Kanalmaz , Burhan Ozyilmaz

Soccer is a sparse rewarding game: any smart or careless action in critical situations can change the result of the match. Therefore players, coaches, and scouts are all curious about the best action to be performed in critical situations,…

Machine Learning · Computer Science 2021-09-15 Pegah Rahimian , Afshin Oroojlooy , Laszlo Toka

Accurate prediction of FIFA World Cup match outcomes holds significant value for analysts, coaches, bettors, and fans. This paper presents a machine learning framework specifically designed to forecast match winners in FIFA World Cup. By…

Machine Learning · Computer Science 2026-01-07 Ali Al-Bustami , Zaid Ghazal

Soccer analytics rely on two data sources: the player positions on the pitch and the sequences of events they perform. With around 2000 ball events per game, their precise and exhaustive annotation based on a monocular video stream remains…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Jeremie Ochin , Guillaume Devineau , Bogdan Stanciulescu , Sotiris Manitsaris

For zero-sum two-player continuous-time games with integral payoff and incomplete information on one side, one shows that the optimal strategy of the informed player can be computed through an auxiliary optimization problem over some…

Probability · Mathematics 2008-10-02 Pierre Cardaliaguet , Catherine Rainer