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Inspired by the turf-ball interaction in golf, this paper seeks to understand the bounce of a ball that can be modelled as a rigid sphere and the surface as supplying an elasto-plastic contact force in addition to Coulomb friction. A…

Dynamical Systems · Mathematics 2022-08-25 Stanisław W. Biber , Alan R. Champneys , Robert Szalai

We propose an original model for inferring team strengths using a Markov Random Field, which can be used to generate historical estimates of the offensive and defensive strengths of a team over time. This model was designed to be applied to…

Machine Learning · Statistics 2013-05-10 John Zech , Frank Wood

Penalties are fraught and game-changing moments in soccer games that teams explicitly prepare for. Consequently, there has been substantial interest in analyzing them in order to provide advice to practitioners. From a data science…

Machine Learning · Computer Science 2025-06-02 Lotte Bransen , Tim Janssen , Jesse Davis

The motion of an elastic body over a rough surface is simulated in one dimension using Newtonian dynamics. We drive the body by prescribing a constant velocity. We extract the friction force from the work done by the applied force in order…

Condensed Matter · Physics 2008-02-03 Nathan A. Lindop , Henrik Jeldoft Jensen

Defensive organization is critical in soccer, particularly during negative transitions when teams are most vulnerable. The back-four defensive line plays a decisive role in preventing goal-scoring opportunities, yet its collective…

Computers and Society · Computer Science 2025-11-11 Soujanya Dash , Kenjiro Ide , Rikuhei Umemoto , Kai Amino , Keisuke Fujii

The Voronoi diagram is a geometric object which is widely used in many areas. Recently it has been shown that under mild conditions Voronoi diagrams have a certain continuity property: small perturbations of the sites yield small…

Computational Geometry · Computer Science 2013-04-30 Daniel Reem

With the increasingly detailed investigation of game play and tactics in invasive team sports such as soccer, it becomes ever more important to present causes, actions and findings in a meaningful manner. Visualizations, especially when…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Maximilian T. Fischer , Daniel A. Keim , Manuel Stein

The mechanical response of elastic porous media confined within rigid geometries is central to a wide range of industrial, geological, and biomedical systems. However, current models for these problems typically overlook the role of wall…

Soft Condensed Matter · Physics 2026-03-12 Térence Desclaux , Callum Cuttle , Chris W. MacMinn , Olivier Liot

The purpose of this research is to create a machine learning-based smart coaching approach for football that can replace manual analysis with real-time feedback for trainers. In-depth analysis of football player data by humans is…

Signal Processing · Electrical Eng. & Systems 2023-02-08 Rahman Sahinler , Omer Burak Goktas , Berkay Mumcu , Damla Sen , Feyza Kocaturk , Huseyin Uvet

Team-based invasion sports such as football, basketball and hockey are similar in the sense that the players are able to move freely around the playing area; and that player and team performance cannot be fully analysed without considering…

Other Computer Science · Computer Science 2017-04-17 Joachim Gudmundsson , Michael Horton

In this work we propose an extension to the analytical one-dimensional model proposed by E. Gnecco (Phys. Rev. Lett. 84:1172) to describe friction. Our model includes normal forces and the dependence with the angular direction of movement…

Computational Physics · Physics 2007-12-04 R. A. Dias , P. Z. Coura , M. Rapini , B. V. Costa

In this paper I show how the statistics of the gravitational field is changed when the system is characterized by a non-uniform distribution of particles. I show how the distribution functions W(dF/dt) giving the joint probability that a…

Astrophysics · Physics 2009-11-13 A. Del Popolo

This study proposes an innovative approach to analyze spatial patterns of behavior by integrating information in weighted Voronoi diagrams. The objective of the research is to analyze the temporal distribution of an experimental subject in…

In this paper, we study interaction dynamics in the game of football-soccer in the context of ball possession intervals. To do so, we analyze a database comprising one season of the five major football leagues of Europe. Using this input,…

Physics and Society · Physics 2020-10-21 A. Chacoma , N. Almeira , J. I. Perotti , O. V. Billoni

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

This paper introduces a spatially continuous force-based model for simulating pedestrian dynamics. The main intention of this work is the quantitative description of pedestrian movement through bottlenecks and in corridors. Measurements of…

Physics and Society · Physics 2009-12-22 Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider , Wolfgang Mackens

Analysis of invasive sports such as soccer is challenging because the game situation changes continuously in time and space, and multiple agents individually recognize the game situation and make decisions. Previous studies using deep…

Artificial Intelligence · Computer Science 2023-12-04 Hiroshi Nakahara , Kazushi Tsutsui , Kazuya Takeda , Keisuke Fujii

We investigate the origin of the deviations from the classical Darcy law by numerical simulation of the Navier-Stokes equations in two-dimensional disordered porous media. We apply the Forchheimer equation as a phenomenological model to…

Soft Condensed Matter · Physics 2009-10-31 J. S. Andrade , U. M. S. Costa , M. P. Almeida , H. A. Makse , H. E. Stanley

In this paper we present a new theoretical model to find out an optimal weight associated with a soccer player under the presence of a stochastic goal dynamics by using Feynman path integral method, where the action of a player is on…

Optimization and Control · Mathematics 2021-08-03 Paramahansa Pramanik , Alan M. Polansky

We present a fully convolutional neural network architecture that is capable of estimating full probability surfaces of potential passes in soccer, derived from high-frequency spatiotemporal data. The network receives layers of low-level…

Machine Learning · Computer Science 2021-08-05 Javier Fernández , Luke Bornn