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Despite the central role of self-assembled groups in animal and human societies, statistical tools to explain their composition are limited. We introduce a statistical framework for cross-sectional observations of groups with exclusive…

Methodology · Statistics 2021-08-03 Marion Hoffman , Per Block , Tom A. B. Snijders

In this paper, we develop a logistic regression model to estimate the probability that a particular shot in an NHL game will result in a goal, and use the results to evaluate the performance of NHL skaters, goalies, and teams. We weight…

Applications · Statistics 2012-05-09 Brian Macdonald , Craig Lennon , Rodney Sturdivant

Evaluating the overall ability of players in the National Hockey League (NHL) is a difficult task. Existing methods such as the famous "plus/minus" statistic have many shortcomings. Standard linear regression methods work well when player…

Applications · Statistics 2013-03-01 A. C. Thomas , Samuel L. Ventura , Shane Jensen , Stephen Ma

Computer-aided support and analysis are becoming increasingly important in the modern world of sports. The scouting of potential prospective players, performance as well as match analysis, and the monitoring of training programs rely more…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Jonas Theiner , Wolfgang Gritz , Eric Müller-Budack , Robert Rein , Daniel Memmert , Ralph Ewerth

The information decomposition problem requires an additive decomposition of the mutual information between the input and target variables into nonnegative terms. The recently introduced solution to this problem, Information Attribution,…

Information Theory · Computer Science 2022-07-13 Tomáš Kroupa , Sara Vannucci , Tomáš Votroubek

Game Theory concepts have been successfully applied in a wide variety of domains over the past decade. Sports and games are one of the popular areas of game theory application owing to its merits and benefits in solving complex scenarios.…

Computer Science and Game Theory · Computer Science 2021-05-26 Ambareesh Ravi , Atharva Gokhale , Anchit Nagwekar

Graphical models are powerful tools for capturing conditional dependence structures in complex systems but remain underexplored in analyzing ordinal data, especially in sports analytics. Ordinal variables, such as team rankings, player…

Methodology · Statistics 2025-12-05 Wang Wen , Ziqi Chen , Guanyu Hu

Sport analysis is crucial for team performance since it provides actionable data that can inform coaching decisions, improve player performance, and enhance team strategies. To analyze more complex features from game footage, a computer…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Adrian Manchado , Tanner Cellio , Jonathan Keane , Yiyang Wang

Which of your team's possible lineups has the best chances against each of your opponents possible lineups? In order to answer this question we develop LinNet. LinNet exploits the dynamics of a directed network that captures the performance…

Applications · Statistics 2017-07-12 Konstantinos Pelechrinis

In this work, we draw attention to a connection between skill-based models of game outcomes and Gaussian process classification models. The Gaussian process perspective enables a) a principled way of dealing with uncertainty and b) rich…

Machine Learning · Computer Science 2016-09-06 Lucas Maystre , Victor Kristof , Antonio J. González Ferrer , Matthias Grossglauser

In this paper, we employ machine learning techniques to analyze seventeen seasons (1999-2000 to 2015-2016) of NBA regular season data from every team to determine the common characteristics among NBA playoff teams. Each team was…

Machine Learning · Statistics 2017-04-05 Ikjyot Singh Kohli

As machine learning models are increasingly considered for high-stakes domains, effective explanation methods are crucial to ensure that their prediction strategies are transparent to the user. Over the years, numerous metrics have been…

Machine Learning · Computer Science 2025-04-14 Johannes Maeß , Grégoire Montavon , Shinichi Nakajima , Klaus-Robert Müller , Thomas Schnake

This study proposes a statistically grounded framework for real-time win probability evaluation and player assessment in score-based team sports, based on minute-by-minute cumulative box-score data. We introduce a continuous dominance…

Applications · Statistics 2026-02-24 Yasutaka Shimizu , Atsushi Yamanobe

This paper presents a method to assess a basketball player's performance from his/her first-person video. A key challenge lies in the fact that the evaluation metric is highly subjective and specific to a particular evaluator. We leverage…

Computer Vision and Pattern Recognition · Computer Science 2017-08-03 Gedas Bertasius , Hyun Soo Park , Stella X. Yu , Jianbo Shi

How much is an on-ball screen worth? How much is a backdoor cut away from the ball worth? Basketball is one of a number of sports which, within the past decade, have seen an explosion in quantitative metrics and methods for evaluating…

Applications · Statistics 2019-02-22 Anthony Sicilia , Konstantinos Pelechrinis , Kirk Goldsberry

Many semantic events in team sport activities e.g. basketball often involve both group activities and the outcome (score or not). Motion patterns can be an effective means to identify different activities. Global and local motions have…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Lifang Wu , Zhou Yang , Qi Wang , Meng Jian , Boxuan Zhao , Junchi Yan , Chang Wen Chen

The burgeoning growth of the esports and multiplayer online gaming community has highlighted the critical importance of evaluating the Most Valuable Player (MVP). The establishment of an explainable and practical MVP evaluation method is…

Computer Science and Game Theory · Computer Science 2026-05-29 Haifeng Sun , Yu Xiong , Runze Wu , Kai Wang , Lan Zhang , Changjie Fan , Shaojie Tang , Xiang-Yang Li

Using semi-tensor product of matrices, the structures of several kinds of symmetric games are investigated via the linear representation of symmetric group in the structure vector of games as its representation space. First of all, the…

Computer Science and Game Theory · Computer Science 2017-03-09 Daizhan Cheng , Ting Liu

Predicting athletes' performance has relied mostly on statistical data. Besides the traditional data, various types of data, including video, have become available. However, it is challenging to use them for deep learning, especially when…

Human-Computer Interaction · Computer Science 2023-04-07 Jaeyoun You , Jinhan Choi , Ho-Jae Shin , Bongwon Suh

Professional team sports provide an excellent domain for studying the dynamics of social competitions. These games are constructed with simple, well-defined rules and payoffs that admit a high-dimensional set of possible actions and…

Data Analysis, Statistics and Probability · Physics 2016-06-17 Leto Peel , Aaron Clauset