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We present a systematic approach to the prediction of soccer matches. First, we show that the information about chances for goals is by far more informative than about the actual results. Second, we present a multivariate regression…

Data Analysis, Statistics and Probability · Physics 2012-07-20 Andreas Heuer , Oliver Rubner

Scoring goals in a soccer match can be interpreted as a stochastic process. In the most simple description of a soccer match one assumes that scoring goals can be described by a constant goal rate for each team, implying simple Poissonian…

Data Analysis, Statistics and Probability · Physics 2012-07-19 Andreas Heuer , Oliver Rubner

A quest for uncovering influence of behaviour on team performance involves understanding individual behaviour, interactions with others and environment, variations across groups, and effects of interventions. Although insights into each of…

Physics and Society · Physics 2025-04-11 Hidemasa Ishii , Yohei Takai , Yuichiro Marui , Yoshihiro Yamazaki , Yusuke Kato , Hiroshi Kori

The detection of small and medium-sized objects in three dimensions has always been a frontier exploration problem. This technology has a very wide application in sports analysis, games, virtual reality, human animation and other fields.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Lei Li , Tianfang Zhang , Zhongfeng Kang , Wenhan Zhang

Traditional assessments of tackling in American Football often only consider the number of tackles made, without adequately accounting for their context and importance for the game. Aiming for improvement, we develop a metric that…

Applications · Statistics 2024-07-12 Robert Bajons , Jan-Ole Koslik , Rouven Michels , Marius Ötting

The English Premier League is well-known for being not only one of the most popular professional sports leagues in the world, but also one of the toughest competitions to predict. The first purpose of this research was to verify the…

Applications · Statistics 2022-01-05 Quang Nguyen

We investigated the temporal distribution of goals in soccer using event-level data from 3,433 matches across 21 leagues and competitions. Contrary to the prevailing notion of randomness, we found that the probability of a goal being scored…

The non-scientific event of a soccer match is analysed on a strictly scientific level. The analysis is based on the recently introduced concept of a team fitness (Eur. Phys. J. B 67, 445, 2009) and requires the use of finite-size scaling. A…

Data Analysis, Statistics and Probability · Physics 2010-03-03 Andreas Heuer , Christian Mueller , Oliver Rubner

The effect of increasing goal mouth size on the number of goals scored in a football match is discussed in a very preliminary and simple way, considering elastic collisions of the ball with the posts. The result is obtained on the basis of…

Physics and Society · Physics 2007-05-23 J. Mira

This paper studies a variant of multi-player reach-avoid game played between intruders and defenders. The intruder team tries to score by sending as many intruders as possible to the target area, while the defender team tries to minimize…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Daigo Shishika , Vijay Kumar

This paper considers the use of observed and predicted match statistics as inputs to forecasts of the outcomes of football matches. It is shown that, were it possible to know the match statistics in advance, highly informative forecasts of…

Applications · Statistics 2020-01-27 Edward Wheatcroft

This paper aims to reduce randomness in football by analysing the role of lineups in final scores using machine learning prediction models we have developed. Football clubs invest millions of dollars on lineups and knowing how individual…

Machine Learning · Computer Science 2023-01-18 George Peters , Diogo Pacheco

This paper considers a problem of planning an attack in robotic football (RoboCup). The problem is reduced to finding a trajectory of the ball from its current position to the opponents goals. Heuristic search algorithm, i.e. A*, is used to…

Robotics · Computer Science 2020-08-05 Ivan Khokhlov , Vladimir Litvinenko , Ilya Ryakin , Konstantin Yakovlev

Premier League is known as one of the most competitive football league in the world, hence there are many goals are scored here every match. Which are the factors that affect to the number of goal scored in each match? We use Poisson…

Applications · Statistics 2021-08-22 Cuong Pham , Tung Le

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

We propose using Network Science as a complementary tool to analyze player and team behavior during a football match. Specifically, we introduce four kinds of networks based on different ways of interaction between players. Our approach's…

Social and Information Networks · Computer Science 2020-11-13 J. M. Buldu , D. Garrido , D. R. Antequera , J. Busquets , E. Estrada , R. Resta , R. Lopez del Campo

Evaluating the individual movements for teammates in soccer players is crucial for assessing teamwork, scouting, and fan engagement. It has been said that players in a 90-min game do not have the ball for about 87 minutes on average.…

Artificial Intelligence · Computer Science 2022-07-28 Masakiyo Teranishi , Kazushi Tsutsui , Kazuya Takeda , Keisuke Fujii

This paper considers the blocking or football pursuit-evasion differential game. Two pursuers cooperate and try to capture the ball carrying evader as far as possible from the goal line. The evader wishes to be as close as possible to the…

Optimization and Control · Mathematics 2020-06-09 Eloy Garcia , David W. Casbeer , Meir Pachter

The standard mathematical approach to fourth-down decision making in American football is to make the decision that maximizes estimated win probability. Win probability estimates arise from machine learning models fit from historical data.…

Applications · Statistics 2025-02-03 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

We can construct passing networks when we regard a player as a node and a pass as a link in football games. Thus, we can analyze the networks by using tools developed in network science. Among various metrics characterizing a network,…

Physics and Society · Physics 2021-05-07 Genki Ichinose , Tomohiro Tsuchiya , Shunsuke Watanabe