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Related papers: Potential Penetrative Pass (P3)

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Consider a multiplayer game, and assume a system level objective function, which the system wants to optimize, is given. This paper aims at accomplishing this goal via potential game theory when players can only get part of other players'…

Optimization and Control · Mathematics 2018-07-17 Changxi Li , Fenghua He , Hongsheng Qi , Daizhan Cheng

Players and ball detection are among the first required steps on a football analytics platform. Until recently, the existing open datasets on which the evaluations of most models were based, were not sufficient. In this work, we point out…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Konstantinos Moutselos , Ilias Maglogiannis

One of the main shortcomings of event data in football, which has been extensively used for analytics in the recent years, is that it still requires manual collection, thus limiting its availability to a reduced number of tournaments. In…

Machine Learning · Computer Science 2022-09-01 Ferran Vidal-Codina , Nicolas Evans , Bahaeddine El Fakir , Johsan Billingham

Recent advances in computer vision have made significant progress in tracking and pose estimation of sports players. However, there have been fewer studies on behavior prediction with pose estimation in sports, in particular, the prediction…

Computer Vision and Pattern Recognition · Computer Science 2024-02-16 Jiale Fang , Calvin Yeung , Keisuke Fujii

The perimeter defense game has received interest in recent years as a variant of the pursuit-evasion game. A number of previous works have solved this game to obtain the optimal strategies for defender and intruder, but the derived theory…

Robotics · Computer Science 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

Recent progress in the field of reinforcement learning has been accelerated by virtual learning environments such as video games, where novel algorithms and ideas can be quickly tested in a safe and reproducible manner. We introduce the…

Despite growing interest in quantifying and modeling the scoring dynamics within professional sports games, relative little is known about what patterns or principles, if any, cut across different sports. Using a comprehensive data set of…

Applications · Statistics 2014-03-24 Sears Merritt , Aaron Clauset

This paper considers the flight dynamics of the ball in the sport of pickleball. Various simplifications are introduced according to the features of the game. These simplifications and some approximations enable straightforward coding to…

Physics and Society · Physics 2024-10-01 Kye Emond , Weiran Sun , Tim B Swartz

Soccer analysis tools emphasize metrics such as expected goals, leading to an overrepresentation of attacking players' contributions and overlooking players who facilitate ball control and link attacks. Examples include Rodri from…

Machine Learning · Computer Science 2025-03-14 Jacky Hao Jiang , Jerry Cai , Anastasios Kyrillidis

We present here a simple mathematical model that provides a successful strategy, quantitatively, to ending the continued championship futility experienced by Canadian Hockey Teams. Competitive Intransitivity is used here as a simple…

History and Overview · Mathematics 2021-06-18 C. J. Barrett , S. Koumarianos , O. Mermut

Learning a control policy for a multi-phase, long-horizon task, such as basketball maneuvers, remains challenging for reinforcement learning approaches due to the need for seamless policy composition and transitions between skills. A…

In basketball, every time the offense produces a shot opportunity the player with the ball must decide whether the shot is worth taking. In this paper, I explore the question of when a team should shoot and when they should pass up the shot…

Physics and Society · Physics 2012-01-30 Brian Skinner

Intransitivity is a critical issue in pairwise preference modeling. It refers to the intransitive pairwise preferences between a group of players or objects that potentially form a cyclic preference chain and has been long discussed in…

Machine Learning · Computer Science 2024-10-01 Jiuding Duan , Jiyi Li , Yukino Baba , Hisashi Kashima

There is a common belief that humans and many animals follow transitive inference (choosing A over C on the basis of knowing that A is better than B and B is better than C). Transitivity seems to be the essence of rational choice. We…

Computer Science and Game Theory · Computer Science 2014-09-23 Marcin Makowski , Edward W. Piotrowski

Tracking objects in soccer videos is extremely important to gather both player and team statistics, whether it is to estimate the total distance run, the ball possession or the team formation. Video processing can help automating the…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Anthony Cioppa , Silvio Giancola , Adrien Deliege , Le Kang , Xin Zhou , Zhiyu Cheng , Bernard Ghanem , Marc Van Droogenbroeck

Penetration Testing is a methodology for assessing network security, by generating and executing possible attacks. Doing so automatically allows for regular and systematic testing. A key question then is how to automatically generate the…

Artificial Intelligence · Computer Science 2013-07-31 Carlos Sarraute

The Pythagorean formula is one of the most popular ways to measure the true ability of a team. It is very easy to use, estimating a team's winning percentage from the runs they score and allow. This data is readily available on standings…

History and Overview · Mathematics 2014-06-04 Steven J. Miller , Taylor Corcoran , Jennifer Gossels , Victor Luo , Jaclyn Porfilio

In this study, basketball teams are conceptualized as complex adaptive systems to examine their (re)organizational processes in response the time remaining to shoot. Using temporal passing networks to model team behavior, the focus is on…

Discrete Mathematics · Computer Science 2025-06-06 Quentin Bourgeais , Rodolphe Charrier , Eric Sanlaville , Ludovic Seifert

In this article, we study the dynamics of marking in football matches. To do this, we surveyed and analyzed a database containing the trajectories of players from both teams on the field of play during three professional games. We describe…

Data Analysis, Statistics and Probability · Physics 2022-11-09 A. Chacoma , M. N. Kuperman , O. V. Billoni

Evaluating football player transfers is challenging because player actions depend strongly on tactical systems, teammates, and match context. Despite this complexity, recruitment decisions often rely on static statistics and subjective…

Artificial Intelligence · Computer Science 2026-03-17 Miru Hong , Minho Lee , Geonhee Jo , Hyeokje Jo , Pascal Bauer , Sang-Ki Ko
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