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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

Quantitative analysis of soccer players' passing ability focuses on descriptive statistics without considering the players' real contribution to the passing and ball possession strategy of their team. Which player is able to help the…

Artificial Intelligence · Computer Science 2016-08-12 Laszlo Gyarmati , Rade Stanojevic

Objectively quantifying the value of player actions in football (soccer) is a challenging problem. To date, studies in football analytics have mainly focused on the attacking side of the game, while there has been less work on event-driven…

Artificial Intelligence · Computer Science 2021-06-04 Charbel Merhej , Ryan Beal , Sarvapali Ramchurn , Tim Matthews

Pressing is a fundamental defensive strategy in football, characterized by applying pressure on the ball owning team to regain possession. Despite its significance, existing metrics for measuring pressing often lack precision or…

Applications · Statistics 2025-07-01 Joris Bekkers

We present a new approach for identifying situations and behaviours, which we call "moves", from soccer games in the 2D simulation league. Being able to identify key situations and behaviours are useful capabilities for analysing soccer…

Machine Learning · Computer Science 2018-09-13 Olivia Michael , Oliver Obst , Falk Schmidsberger , Frieder Stolzenburg

Moving target defense (MTD) is a proactive defense approach that aims to thwart attacks by continuously changing the attack surface of a system (e.g., changing host or network configurations), thereby increasing the adversary's uncertainty…

Cryptography and Security · Computer Science 2020-08-21 Taha Eghtesad , Yevgeniy Vorobeychik , Aron Laszka

An Adversarial Swarm model consists of two swarms that are interacting with each other in a competing manner. In the present study, an agent-based Adversarial swarm model is developed comprising of two competing swarms, the Attackers and…

Adaptation and Self-Organizing Systems · Physics 2021-05-28 Soham Gupta , John Baker

Active Directory (AD) is the default security management system for Windows domain networks. We study a Stackelberg game model between one attacker and one defender on an AD attack graph. The attacker initially has access to a set of entry…

Neural and Evolutionary Computing · Computer Science 2023-01-05 Diksha Goel , Max Ward , Aneta Neumann , Frank Neumann , Hung Nguyen , Mingyu Guo

In the Target-Attacker-Defender (TAD) differential game, an Attacker missile strives to capture a Target aircraft. The Target tries to escape the Attacker and is aided by a Defender missile which aims at intercepting the Attacker before the…

Optimization and Control · Mathematics 2020-02-12 Eloy Garcia , David W. Casbeer , Meir Pachter

We provide a general methodology for analyzing defender-attacker based "games" in which we model such games as Markov models and introduce a capacity region to analyze how defensive and adversarial strategies impact security. Such a…

Cryptography and Security · Computer Science 2019-01-08 Saeed Valizadeh , Marten van Dijk

This paper investigates a reach-avoid game between two players with damped double integrator dynamics. An optimal state-feedback strategy is derived using a differential game framework combined with geometric analysis. To facilitate the…

Systems and Control · Electrical Eng. & Systems 2026-02-20 Mengxin Lyu , Ruiliang Deng , Zongying Shi , Yisheng Zhong

This paper presents the quantile cube, a novel three-dimensional summary representation designed to analyze external load using GPS-derived movement data. While broadly applicable, we demonstrate its utility through an application to data…

Methodology · Statistics 2025-09-03 Kendall L. Thomas , Jan Hannig

Action scene understanding in soccer is a challenging task due to the complex and dynamic nature of the game, as well as the interactions between players. This article provides a comprehensive overview of this task divided into action…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Karolina Seweryn , Anna Wróblewska , Szymon Łukasik

Trajectory prediction in multi-agent sports scenarios is inherently challenging due to the structural heterogeneity across agent roles (e.g., players vs. ball) and dynamic distribution gaps across different sports domains. Existing unified…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Yi Xu , Yun Fu

In the sports of soccer, hockey and basketball the most commonly used statistics for player performance assessment are divided into two categories: offensive statistics and defensive statistics. However, qualitative assessments of…

Applications · Statistics 2017-04-04 Shael Brown

Player attribution in American football remains an open problem due to the complex nature of twenty-two players interacting on the field, but the granularity of player tracking data provides ample opportunity for novel approaches. In this…

Applications · Statistics 2025-06-24 Ronald Yurko , Quang Nguyen , Konstantinos Pelechrinis

As artificial intelligence spreads out to numerous fields, the application of AI to sports analytics is also in the spotlight. However, one of the major challenges is the difficulty of automated acquisition of continuous movement data…

Multiagent Systems · Computer Science 2023-09-04 Hyunsung Kim , Han-Jun Choi , Chang Jo Kim , Jinsung Yoon , Sang-Ki Ko

This paper considers a pursuit-evasion scenario among three agents -- an evader, a pursuer, and a defender. We design cooperative guidance laws for the evader and the defender team to safeguard the evader from an attacking pursuer. Unlike…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Abhinav Sinha , Shashi Ranjan Kumar , Dwaipayan Mukherjee

We propose a reinforcement learning solution to the \emph{soccer dribbling task}, a scenario in which a soccer agent has to go from the beginning to the end of a region keeping possession of the ball, as an adversary attempts to gain…

Machine Learning · Computer Science 2013-05-29 Arthur Carvalho , Renato Oliveira

As large language models grow increasingly capable, concerns about their safe deployment have intensified. While numerous alignment strategies aim to restrict harmful behavior, these defenses can still be circumvented through carefully…

Computation and Language · Computer Science 2026-05-05 Xinbo Wu , Huan Zhang , Abhishek Umrawal , Lav R. Varshney