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This is an experimental case study in real algebraic geometry, aimed at computing the image of a semialgebraic subset of 3-space under a polynomial map into the plane. For general instances, the boundary of the image is given by two highly…

Algebraic Geometry · Mathematics 2018-01-15 Kaie Kubjas , Pablo A. Parrilo , Bernd Sturmfels

Network-structured data becomes ubiquitous in daily life and is growing at a rapid pace. It presents great challenges to feature engineering due to the high non-linearity and sparsity of the data. The local and global structure of the…

Machine Learning · Computer Science 2025-01-31 Xin Sun , Zenghui Song , Yongbo Yu , Junyu Dong , Claudia Plant , Christian Boehm

We showcase in this paper the use of some tools from network theory to describe the strategy of football teams. Using passing data made available by FIFA during the 2010 World Cup, we construct for each team a weighted and directed network…

Combinatorics · Mathematics 2013-12-03 Javier López Peña , Hugo Touchette

Football (soccer) is a sport that is characterised by complex game play, where players perform a variety of actions, such as passes, shots, tackles, fouls, in order to score goals, and ultimately win matches. Accurately forecasting the…

Machine Learning · Computer Science 2025-11-25 Michael Horton , Patrick Lucey

Mobile ground robots operating on unstructured terrain must predict which areas of the environment they are able to pass in order to plan feasible paths. We address traversability estimation as a heightmap classification problem: we build a…

Robotics · Computer Science 2019-02-20 R. Omar Chavez-Garcia , Jerome Guzzi , Luca M. Gambardella , Alessandro Giusti

The latest research in expertise assessment of soccer players has affirmed the importance of perceptual skills (especially for decision making) by focusing either on high experimental control or on a realistic presentation. To assess the…

Human-Computer Interaction · Computer Science 2021-01-07 Benedikt Hosp , Florian Schultz , Oliver Höner , Enkelejda Kasneci

Vision Language Models (VLMs) have demonstrated strong performance in multi-modal tasks by effectively aligning visual and textual representations. However, most video understanding VLM research has been domain-agnostic, leaving the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Tiancheng Jiang , Henry Wang , Md Sirajus Salekin , Parmida Atighehchian , Shinan Zhang

Humanoid soccer poses a representative challenge for embodied intelligence, requiring robots to operate within a tightly coupled perception-action loop. However, existing systems typically rely on decoupled modules, resulting in delayed…

This study explores the potential of super-resolution techniques in enhancing object detection accuracy in football. Given the sport's fast-paced nature and the critical importance of precise object (e.g. ball, player) tracking for both…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Karolina Seweryn , Gabriel Chęć , Szymon Łukasik , Anna Wróblewska

With the recent development of Deep Learning applied to Computer Vision, sport video understanding has gained a lot of attention, providing much richer information for both sport consumers and leagues. This paper introduces…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Gabriel Van Zandycke , Vladimir Somers , Maxime Istasse , Carlo Del Don , Davide Zambrano

This paper investigates a fundamental problem of scene understanding: how to parse a scene image into a structured configuration (i.e., a semantic object hierarchy with object interaction relations). We propose a deep architecture…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Ruimao Zhang , Liang Lin , Guangrun Wang , Meng Wang , Wangmeng Zuo

In this paper, we propose a study on multi-modal (audio and video) action spotting and classification in soccer videos. Action spotting and classification are the tasks that consist in finding the temporal anchors of events in a video and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Bastien Vanderplaetse , Stéphane Dupont

In this paper, we examine how soccer players can use their spatial relationships to control parts of the field and safely move play up the field via chains of ``safe configurations,'' i.e. configurations of players on a team ensuring the…

Physics and Society · Physics 2022-11-18 Catherine Pfaff , Emily Hunter , Haozhi Hong , Daniel Forestell , Ari Fialkov , Zoey Drassinower , Timothy Chan

Despite recent advances in AI, event data collection in soccer still relies heavily on labor-intensive manual annotation. Although prior work has explored automatic event detection using player and ball trajectories, ball tracking also…

Machine Learning · Computer Science 2026-02-13 Hyunsung Kim , Kunhee Lee , Sangwoo Seo , Sang-Ki Ko , Jinsung Yoon , Chanyoung Park

In team-based invasion sports such as soccer and basketball, analytics is important for teams to understand their performance and for audiences to understand matches better. The present work focuses on performing visual analytics to…

Artificial Intelligence · Computer Science 2019-07-03 Kun Zhao , Takayuki Osogami , Tetsuro Morimura

We study the problem of synthesizing a number of likely future frames from a single input image. In contrast to traditional methods, which have tackled this problem in a deterministic or non-parametric way, we propose a novel approach that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-12 Tianfan Xue , Jiajun Wu , Katherine L. Bouman , William T. Freeman

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

The explainability of deep networks is becoming a central issue in the deep learning community. It is the same for learning on graphs, a data structure present in many real world problems. In this paper, we propose a method that is more…

Machine Learning · Computer Science 2022-07-27 Adrien Raison , Pascal Bourdon , David Helbert

The long-standing problem of novel view synthesis has many applications, notably in sports broadcasting. Photorealistic novel view synthesis of soccer actions, in particular, is of enormous interest to the broadcast industry. Yet only a few…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Sacha Lewin , Maxime Vandegar , Thomas Hoyoux , Olivier Barnich , Gilles Louppe

Recent work has shown that deep neural networks are capable of approximating both value functions and policies in reinforcement learning domains featuring continuous state and action spaces. However, to the best of our knowledge no previous…

Artificial Intelligence · Computer Science 2024-05-06 Matthew Hausknecht , Peter Stone