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Data analytics helps basketball teams to create tactics. However, manual data collection and analytics are costly and ineffective. Therefore, we applied a deep bidirectional long short-term memory (BLSTM) and mixture density network (MDN)…

Artificial Intelligence · Computer Science 2018-02-14 Yu Zhao , Rennong Yang , Guillaume Chevalier , Rajiv Shah , Rob Romijnders

National Basketball Association (NBA) players are highly motivated and skilled experts that solve complex decision making problems at every time point during a game. As a step towards understanding how players make their decisions, we focus…

Machine Learning · Computer Science 2020-08-19 Sandro Hauri , Nemanja Djuric , Vladan Radosavljevic , Slobodan Vucetic

Understanding trajectories in multi-agent scenarios requires addressing various tasks, including predicting future movements, imputing missing observations, inferring the status of unseen agents, and classifying different global states.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Guillem Capellera , Luis Ferraz , Antonio Rubio , Antonio Agudo , Francesc Moreno-Noguer

We study the problem of discriminative sub-trajectory mining. Given two groups of trajectories, the goal of this problem is to extract moving patterns in the form of sub-trajectories which are more similar to sub-trajectories of one group…

Understanding the principles of real-world biological multi-agent behaviors is a current challenge in various scientific and engineering fields. The rules regarding the real-world biological multi-agent behaviors such as team sports are…

Artificial Intelligence · Computer Science 2021-06-22 Keisuke Fujii

In many multi-agent spatiotemporal systems, agents operate under the influence of shared, unobserved variables (e.g., the play a team is executing in a game of basketball). As a result, the trajectories of the agents are often statistically…

Machine Learning · Computer Science 2021-09-30 Michael A. Alcorn , Anh Nguyen

Understanding multi-agent movement is critical across various fields. The conventional approaches typically focus on separate tasks such as trajectory prediction, imputation, or spatial-temporal recovery. Considering the unique formulation…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Yi Xu , Yun Fu

I address the difficult challenge of measuring the relative influence of competing basketball game strategies, and I apply my analysis to plays resulting in three-point shots. I use a glut of SportVU player tracking data from over 600 NBA…

Applications · Statistics 2017-03-22 Bradley A. Sliz

Consider the problem of modeling memory effects in discrete-state random walks using higher-order Markov chains. This paper explores cross validation and information criteria as proxies for a model's predictive accuracy. Our objective is to…

Methodology · Statistics 2019-03-22 Joshua C. Chang

Sports competitions are widely researched in computer and social science, with the goal of understanding how players act under uncertainty. While there is an abundance of computational work on player metrics prediction based on past…

Computation and Language · Computer Science 2020-07-02 Nadav Oved , Amir Feder , Roi Reichart

The National Basketball Association(NBA) has expanded their data gathering and have heavily invested in new technologies to gather advanced performance metrics on players. This expanded data set allows analysts to use unique performance…

Machine Learning · Computer Science 2017-07-12 Neil Seward

Jointly forecasting trajectories of multiple interacting agents is a core challenge in sports analytics and other domains involving complex group dynamics. Accurate prediction enables realistic simulation and strategic understanding of…

Machine Learning · Computer Science 2025-12-16 Wei Zhen Teoh

Trajectory prediction aims to forecast agents' possible future locations considering their observations along with the video context. It is strongly needed by many autonomous platforms like tracking, detection, robot navigation, and…

Computer Vision and Pattern Recognition · Computer Science 2023-05-09 Conghao Wong , Beihao Xia , Qinmu Peng , Wei Yuan , Xinge You

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

Tracking data is a powerful tool for basketball teams in order to extract advanced semantic information and statistics that might lead to a performance boost. However, multi-person tracking is a challenging task to solve in single-camera…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Adrià Arbués-Sangüesa , Gloria Haro , Coloma Ballester

Data analytics in sports is crucial to evaluate the performance of single players and the whole team. The literature proposes a number of tools for both offence and defence scenarios. Data coming from tracking location of players, in this…

Applications · Statistics 2019-06-28 Tullio Facchinetti , Rodolfo Metulini , Paola Zuccolotto

We study the problem of training sequential generative models for capturing coordinated multi-agent trajectory behavior, such as offensive basketball gameplay. When modeling such settings, it is often beneficial to design hierarchical…

Machine Learning · Computer Science 2019-02-25 Eric Zhan , Stephan Zheng , Yisong Yue , Long Sha , Patrick Lucey

Multi-agent trajectory data collected from domains such as team sports often suffer from missing values due to various factors. While many imputation methods have been proposed for spatiotemporal data, they are not well-suited for…

Artificial Intelligence · Computer Science 2025-07-16 Han-Jun Choi , Hyunsung Kim , Minho Lee , Minchul Jeong , Chang-Jo Kim , Jinsung Yoon , Sang-Ki Ko

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

We propose advances that address two key challenges in future trajectory prediction: (i) multimodality in both training data and predictions and (ii) constant time inference regardless of number of agents. Existing trajectory predictions…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Sriram N N , Buyu Liu , Francesco Pittaluga , Manmohan Chandraker
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