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We develop an analytical Stackelberg game framework for optimal resource allocation in a sequential attacker--defender setting with a finite set of assets and probabilistic attacks. The defender commits to a mixed protection strategy, after…

Computer Science and Game Theory · Computer Science 2025-12-22 Azhar Iqbal , James M. Chappell , Derek Abbott

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

Although orientation has proven to be a key skill of soccer players in order to succeed in a broad spectrum of plays, body orientation is a yet-little-explored area in sports analytics' research. Despite being an inherently ambiguous…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 Adrià Arbués-Sangüesa , Adrián Martín , Javier Fernández , Carlos Rodríguez , Gloria Haro , Coloma Ballester

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

In this paper, I introduce RisingBALLER, the first publicly available approach that leverages a transformer model trained on football match data to learn match-specific player representations. Drawing inspiration from advances in language…

Machine Learning · Computer Science 2024-10-03 Akedjou Achraff Adjileye

In football game analysis, space evaluation is an important issue because it is directly related to the quality of ball passing or player formations. Previous studies have primarily focused on a field division approach wherein a field is…

Physics and Society · Physics 2020-06-11 Takuma Narizuka , Yoshihiro Yamazaki , Kenta Takizawa

Adversarial machine learning, i.e., increasing the robustness of machine learning algorithms against so-called adversarial examples, is now an established field. Yet, newly proposed methods are evaluated and compared under unrealistic…

Machine Learning · Computer Science 2021-09-28 Maximilian Samsinger , Florian Merkle , Pascal Schöttle , Tomas Pevny

The paper describes a deep neural network-based detector dedicated for ball and players detection in high resolution, long shot, video recordings of soccer matches. The detector, dubbed FootAndBall, has an efficient fully convolutional…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Jacek Komorowski , Grzegorz Kurzejamski , Grzegorz Sarwas

We study a Stackelberg game between one attacker and one defender in a configurable environment. The defender picks a specific environment configuration. The attacker observes the configuration and attacks via Reinforcement Learning (RL…

Neural and Evolutionary Computing · Computer Science 2023-04-11 Diksha Goel , Aneta Neumann , Frank Neumann , Hung Nguyen , Mingyu Guo

The objective of the present study is to present a computational model of the motion of a single athlete in a team and to compare the resulting trajectory with experimental data obtained in the field during competitions by match analysis…

Biological Physics · Physics 2008-11-25 E. Grimpampi , A. Pasculli , A. Sacripanti

To investigate whether training load monitoring data could be used to predict injuries in elite Australian football players, data were collected from elite athletes over 3 seasons at an Australian football club. Loads were quantified using…

Applications · Statistics 2018-07-31 David L. Carey , Kok-Leong Ong , Rod Whiteley , Kay M. Crossley , Justin Crow , Meg E. Morris

A multiplayer reach-avoid game is a differential game between an attacking team with NA attackers and a defending team with ND defenders playing on a compact domain with obstacles. The attacking team aims to send M of the NA attackers to…

Optimization and Control · Mathematics 2016-11-03 Mo Chen , Zhengyuan Zhou , Claire J. Tomlin

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 work investigates adversarial training in the context of margin-based linear classifiers in the high-dimensional regime where the dimension $d$ and the number of data points $n$ diverge with a fixed ratio $\alpha = n / d$. We introduce…

Machine Learning · Statistics 2026-01-13 Kasimir Tanner , Matteo Vilucchio , Bruno Loureiro , Florent Krzakala

Advanced persistent threats (APT) combine a variety of different attack forms ranging from social engineering to technical exploits. The diversity and usual stealthiness of APT turns them into a central problem of contemporary practical…

Cryptography and Security · Computer Science 2022-05-03 Stefan Rass , Sandra König , Stefan Schauer

With the developing of the attack and defense technology, the cyber environment has been more and more sophisticated. We failed to give an accurate evaluation of network security situation, as we lack a more accurate quantitative evaluation…

Cryptography and Security · Computer Science 2019-02-28 Su Yang , Yuqing Zhang , Chensi Wu

This paper introduces a reaction-advection-diffusion system that models interactions among three actors: a target, a partaker, and a guardian. The framework is versatile, capturing phenomena ranging from the emergence and movement of crime…

Analysis of PDEs · Mathematics 2025-10-21 Madi Yerlanov , Nancy Rodriguez

Effective risk management in cybersecurity requires a thorough understanding of the interplay between attacker capabilities and defense strategies. Attack-Defense Trees (ADTs) are a commonly used methodology for representing this interplay;…

Cryptography and Security · Computer Science 2025-04-18 Danut-Valentin Copae , Reza Soltani , Milan Lopuhaä-Zwakenberg

Recently, the text-to-image diffusion model has gained considerable attention from the community due to its exceptional image generation capability. A representative model, Stable Diffusion, amassed more than 10 million users within just…

Cryptography and Security · Computer Science 2024-09-16 Chenyu Zhang , Mingwang Hu , Wenhui Li , Lanjun Wang

Invasion team sports such as soccer produce a high-dimensional, strongly coupled state space as many players continuously interact on a shared field, challenging quantitative tactical analysis. Traditional rule-based analyses are intuitive,…

Artificial Intelligence · Computer Science 2025-10-28 Kenjiro Ide , Taiga Someya , Kohei Kawaguchi , Keisuke Fujii
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