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Artificial Intelligence has been used to help human complete difficult tasks in complicated environments by providing optimized strategies for decision-making or replacing the manual labour. In environments including multiple agents, such…

Machine Learning · Computer Science 2023-07-24 Chaoyi Gu , Varuna De Silva , Corentin Artaud , Rafael Pina

We propose a new method for generating generalised uncertainty relations (GURs) including the generalised uncertainty principle (GUP), extended uncertainty principle (EUP), and extended generalised uncertainty principle (EGUP), previously…

General Relativity and Quantum Cosmology · Physics 2019-12-17 Matthew J. Lake

Technological advances have paved the way for collecting high-resolution network data in basketball, football, and other team-based sports. Such data consist of interactions among players of competing teams indexed by space and time.…

Applications · Statistics 2024-02-14 Nicholas Grieshop , Yong Feng , Guanyu Hu , Michael Schweinberger

Results in contact sports like Rugby are mainly interpreted in terms of the ability and/or luck of teams. But this neglects the important role of the {\em motivation} of players, reflected in the effort exerted in the game. Here we present…

Applications · Statistics 2022-08-30 Federico Fioravanti , Fernando Delbianco , Fernando Tohmé

Computer vision and video understanding have transformed sports analytics by enabling large-scale, automated analysis of game dynamics from broadcast footage. Despite significant advances in player and ball tracking, pose estimation, action…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Arnau Barrera Roy , Albert Clapés Sintes

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

The expected possession value (EPV) of a soccer possession represents the likelihood of a team scoring or receiving the next goal at any time instance. By decomposing the EPV into a series of subcomponents that are estimated separately, we…

Machine Learning · Computer Science 2021-08-05 Javier Fernandez , Luke Bornn , Daniel Cervone

The coefficient of restitution $\epsilon$ characterizes the energy retained when a ball bounces, and can easily be measured in an ``at home'' experiment. For thin-walled gas-filled balls such as basketballs, we construct a simple two…

Physics Education · Physics 2024-12-30 Martin Allen , Bruce Allen

Estimating win probability is one of the classic modeling tasks of sports analytics. Many widely used win probability estimators use machine learning to fit the relationship between a binary win/loss outcome variable and certain game-state…

Methodology · Statistics 2025-08-21 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

Global Positioning Systems (GPS) are nowadays intensively used in Sport Science as they permit to capture the space-time trajectories of players, with the aim to infer useful information to coaches in addition to traditional statistics. In…

Applications · Statistics 2017-07-05 Rodolfo Metulini , Marica Manisera , Paola Zuccolotto

Tracking and identifying athletes on the pitch holds a central role in collecting essential insights from the game, such as estimating the total distance covered by players or understanding team tactics. This tracking and identification…

Problem definition: Professional sports leagues may be suspended due to various reasons such as the recent COVID-19 pandemic. A critical question the league must address when re-opening is how to appropriately select a subset of the…

Optimization and Control · Mathematics 2024-04-02 Ali Hassanzadeh , Mojtaba Hosseini , John G. Turner

Although the values of individual soccer players have become astronomical, subjective judgments still play a big part in the player analysis. Recently, there have been new attempts to quantitatively grasp players' styles using video-based…

Machine Learning · Computer Science 2022-05-05 Hyunsung Kim , Jihun Kim , Dongwook Chung , Jonghyun Lee , Jinsung Yoon , Sang-Ki Ko

This paper develops metrics from a social network perspective that are directly translatable to the outcome of a basketball game. We extend a state-of-the-art multi-resolution stochastic process approach to modeling basketball by modeling…

Applications · Statistics 2019-10-01 Fan Bu , Sonia Xu , Katherine Heller , Alexander Volfovsky

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

With the vast amount of data collected on football and the growth of computing abilities, many games involving decision choices can be optimized. The underlying rule is the maximization of an expected utility of outcomes and the law of…

Machine Learning · Computer Science 2021-03-15 Preston Biro , Stephen G. Walker

A new approach in team sports analysis consists in studying positioning and movements of players during the game in relation to team performance. State of the art tracking systems produce spatio-temporal traces of players that have…

Applications · Statistics 2017-07-06 Rodolfo Metulini , Marica Manisera , Paola Zuccolotto

Recent video+language datasets cover domains where the interaction is highly structured, such as instructional videos, or where the interaction is scripted, such as TV shows. Both of these properties can lead to spurious cues to be…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Alessandro Suglia , José Lopes , Emanuele Bastianelli , Andrea Vanzo , Shubham Agarwal , Malvina Nikandrou , Lu Yu , Ioannis Konstas , Verena Rieser

Assessing the impact of the individual actions performed by soccer players during games is a crucial aspect of the player recruitment process. Unfortunately, most traditional metrics fall short in addressing this task as they either focus…

Applications · Statistics 2019-08-01 Tom Decroos , Lotte Bransen , Jan Van Haaren , Jesse Davis

Evaluating the performance of human is a common need across many applications, such as in engineering and sports. When evaluating human performance in completing complex and interactive tasks, the most common way is to use a metric having…

Machine Learning · Statistics 2023-03-24 Chaoyi Gu , Varuna De Silva
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