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Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

Computer Science and Game Theory · Computer Science 2016-08-05 Karel Horák , Branislav Bošanský

Sports analytics has become both more professional and sophisticated, driven by the growing availability of detailed performance data. This progress enables applications such as match outcome prediction, player scouting, and tactical…

Machine Learning · Computer Science 2025-02-07 Calvin Yeung , Kenjiro Ide , Taiga Someya , Keisuke Fujii

The Video Assistant Referee (VAR) has revolutionized association football, enabling referees to review incidents on the pitch, make informed decisions, and ensure fairness. However, due to the lack of referees in many countries and the high…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Jan Held , Anthony Cioppa , Silvio Giancola , Abdullah Hamdi , Bernard Ghanem , Marc Van Droogenbroeck

Value methods for solving stochastic games with partial observability model the uncertainty about states of the game as a probability distribution over possible states. The dimension of this belief space is the number of states. For many…

Computer Science and Game Theory · Computer Science 2019-03-14 Karel Horák , Branislav Bošanský , Christopher Kiekintveld , Charles Kamhoua

This work is concerned with the rating of players/teams in face-to-face games with three possible outcomes: loss, win, and draw. This is one of the fundamental problems in sport analytics, where the very simple and popular, non-trivial…

Statistics Theory · Mathematics 2019-10-15 Leszek Szczecinski , Aymen Djebbi

Understanding football tactics is crucial for managers and analysts. Previous research has proposed models based on spatial and kinematic equations, but these are computationally expensive. Also, Reinforcement learning approaches use player…

Artificial Intelligence · Computer Science 2025-06-23 Kenjiro Ide , Taiga Someya , Kohei Kawaguchi , Keisuke Fujii

Soccer presents a significant challenge for humanoid robots, demanding tightly integrated perception-action capabilities for tasks like perception-guided kicking and whole-body balance control. Existing approaches suffer from inter-module…

Robotics · Computer Science 2026-02-06 Jipeng Kong , Xinzhe Liu , Yuhang Lin , Jinrui Han , Sören Schwertfeger , Chenjia Bai , Xuelong Li

Football forecasting models traditionally rate teams on past match results, that is based on the number of goals scored. Goals, however, involve a high element of chance and thus past results often do not reflect the performances of the…

Applications · Statistics 2021-01-07 Edward Wheatcroft , Ewelina Sienkiewicz

As a globally celebrated sport, soccer has attracted widespread interest from fans all over the world. This paper aims to develop a comprehensive multi-modal framework for soccer video understanding. Specifically, we make the following…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Jiayuan Rao , Haoning Wu , Hao Jiang , Ya Zhang , Yanfeng Wang , Weidi Xie

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

This paper presents an entirely unsupervised interest point training framework by jointly learning detector and descriptor, which takes an image as input and outputs a probability and a description for every image point. The objective of…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Pei Yan , Yihua Tan , Yuan Xiao , Yuan Tai , Cai Wen

Conformal prediction, a post-hoc, distribution-free, finite-sample method of uncertainty quantification that offers formal coverage guarantees under the assumption of data exchangeability. Unfortunately, the resulting uncertainty regions…

Machine Learning · Computer Science 2026-04-21 Nikolaos Bousias , Lars Lindemann , George Pappas

Safe anytime-valid inference (SAVI) provides measures of statistical evidence and certainty -- e-processes for testing and confidence sequences for estimation -- that remain valid at all stopping times, accommodating continuous monitoring…

Statistics Theory · Mathematics 2023-06-21 Aaditya Ramdas , Peter Grünwald , Vladimir Vovk , Glenn Shafer

The standard mathematical approach to fourth-down decision making in American football is to make the decision that maximizes estimated win probability. Win probability estimates arise from machine learning models fit from historical data.…

Applications · Statistics 2025-02-03 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

Probabilistic modeling is an effective tool for evaluating team performance and predicting outcomes in sports. However, an important question that hasn't been fully explored is whether these models can reliably reflect actual performance…

Methodology · Statistics 2026-02-18 Sheikh Badar Ud Din Tahir , Leonardo Egidi , Nicola Torelli

We propose and analyze a novel theoretical and algorithmic framework for structured prediction. While so far the term has referred to discrete output spaces, here we consider more general settings, such as manifolds or spaces of probability…

Machine Learning · Statistics 2020-02-14 Carlo Ciliberto , Lorenzo Rosasco , Alessandro Rudi

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

Football is a very result-driven industry, with goals being rarer than in most sports, so having further parameters to judge the performance of teams and individuals is key. Expected Goals (xG) allow further insight than just a scoreline.…

Machine Learning · Computer Science 2023-09-04 James H. Hewitt , Oktay Karakuş

Visual foresight gives an agent a window into the future, which it can use to anticipate events before they happen and plan strategic behavior. Although impressive results have been achieved on video prediction in constrained settings,…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Lin Yen-Chen , Maria Bauza , Phillip Isola

The research and data science community has been fascinated with the development of automatic systems for the detection of key events in a video. Special attention in this field is given to sports video analytics which could help in…