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Attempts at predatory capture may provoke a defensive response that reduces the very value of the predated resource. We provide a game-theoretic analysis of simultaneous-move, two-player Attacker-Defender games that model such interactions.…

Theoretical Economics · Economics 2023-05-18 Zsombor Z. Méder , Carsten K. W. de Dreu , Jörg Gross

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

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

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

Continuous-time assessments of game outcomes in sports have become increasingly common in the last decade. In American football, only discrete-time estimates of play value were possible, since the most advanced public football datasets were…

Though deep neural networks perform challenging tasks excellently, they are susceptible to adversarial examples, which mislead classifiers by applying human-imperceptible perturbations on clean inputs. Under the query-free black-box…

Machine Learning · Computer Science 2020-11-05 Zifei Zhang , Kai Qiao , Jian Chen , Ningning Liang

Deep learning classifiers are now known to have flaws in the representations of their class. Adversarial attacks can find a human-imperceptible perturbation for a given image that will mislead a trained model. The most effective methods to…

Machine Learning · Computer Science 2021-05-19 Quentin Bouniot , Romaric Audigier , Angélique Loesch

Since 2009, Moving Target Defense (MTD) has become a new paradigm of defensive mechanism that frequently changes the state of the target system to confuse the attacker. This frequent change is costly and leads to a trade-off between…

Cryptography and Security · Computer Science 2022-06-29 Gabriel Ballot , Vadim Malvone , Jean Leneutre , Etienne Borde

Even though having more possession does not necessarily lead to winning, teams like Manchester City, Liverpool, and Leeds United notably have tried to recover the ball quickly after they lost it over the past few years. Nowadays, some of…

Applications · Statistics 2023-07-11 Ricardo Furbino Marques do Nascimento , Hugo M. R. Rios-Neto

In football, attacking teams attempt to break through the opponent's defensive line to create scoring opportunities. This action, known as a Line Break, is a critical indicator of offensive effectiveness and tactical performance, yet…

Machine Learning · Computer Science 2025-11-04 Shoma Yagi , Jun Ichikawa , Genki Ichinose

Attack detection is usually approached as a classification problem. However, standard classification tools often perform poorly because an adaptive attacker can shape his attacks in response to the algorithm. This has led to the recent…

Computer Science and Game Theory · Computer Science 2017-06-26 Lemonia Dritsoula , Patrick Loiseau , John Musacchio

Recent applications of Stackelberg Security Games (SSG), from wildlife crime to urban crime, have employed machine learning tools to learn and predict adversary behavior using available data about defender-adversary interactions. Given…

Artificial Intelligence · Computer Science 2015-11-23 Arunesh Sinha , Debarun Kar , Milind Tambe

Although basketball is a dualistic sport, with all players competing on both offense and defense, almost all of the sport's conventional metrics are designed to summarize offensive play. As a result, player valuations are largely based on…

Applications · Statistics 2015-05-29 Alexander Franks , Andrew Miller , Luke Bornn , Kirk Goldsberry

Based on the significant improvement of model robustness by AT (Adversarial Training), various variants have been proposed to further boost the performance. Well-recognized methods have focused on different components of AT (e.g., designing…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Zhuoer Xu , Guanghui Zhu , Changhua Meng , Shiwen Cui , Zhenzhe Ying , Weiqiang Wang , Ming GU , Yihua Huang

We propose a hybrid approach that combines Hamilton-Jacobi (HJ) reachability and mixed-integer optimization for solving a reach-avoid game with multiple attackers and defenders. The reach-avoid game is an important problem with potential…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Hanyang Hu , Minh Bui , Mo Chen

Evaluating offensive linemen and pass rushers at the player level is difficult because observable outcomes are sparse, opponent-dependent, and strongly shaped by surrounding context. Using 2021 regular-season Hudl tracking data, we…

This paper focuses on building personalized player models solely from player behavior in the context of adaptive games. We present two main contributions: The first is a novel approach to player modeling based on multi-armed bandits (MABs).…

Artificial Intelligence · Computer Science 2021-02-11 Robert C. Gray , Jichen Zhu , Dannielle Arigo , Evan Forman , Santiago Ontañón

We study a variant of pursuit-evasion game in the context of perimeter defense. In this problem, the intruder aims to reach the base plane of a hemisphere without being captured by the defender, while the defender tries to capture the…

Robotics · Computer Science 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

In recent years, great emphasis has been placed on the prediction of association football. Due to this, several studies have proposed different types of statistical models to predict the outcome of a football match. However, most existing…

Methodology · Statistics 2025-08-11 Roberto Macrì-Demartino , Leonardo Egidi , Nicola Torelli

This work studies a dynamic, adversarial resource allocation problem in environments modeled as graphs. A blue team of defender robots are deployed in the environment to protect the nodes from a red team of attacker robots. We formulate the…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Daigo Shishika , Yue Guan , Michael Dorothy , Vijay Kumar