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The success rate of a basketball shot may be higher at locations where a player makes more shots. For a marked spatial point process, this means that the mark and the intensity are associated. We propose a Bayesian joint model for the mark…

Applications · Statistics 2023-02-02 Jieying Jiao , Guanyu Hu , Jun Yan

We propose a Bayesian nonparametric matrix clustering approach to analyze the latent heterogeneity structure in the shot selection data collected from professional basketball players in the National Basketball Association (NBA). The…

Methodology · Statistics 2020-10-19 Fan Yin , Guanyu Hu , Weining Shen

We develop a machine learning approach to represent and analyze the underlying spatial structure that governs shot selection among professional basketball players in the NBA. Typically, NBA players are discussed and compared in an…

Machine Learning · Statistics 2014-01-09 Andrew Miller , Luke Bornn , Ryan Adams , Kirk Goldsberry

Basketball shot charts provide valuable information regarding local patterns of in-game performance to coaches, players, sports analysts, and statisticians. The spatial patterns of where shots were attempted and whether the shots were…

Methodology · Statistics 2025-03-05 Jiahao Cao , Qingpo Cai , Lance A. Waller , DeMarc A. Hickson , Guanyu Hu , Jian Kang

Shot charts in basketball analytics provide an indispensable tool for evaluating players' shooting performance by visually representing the distribution of field goal attempts across different court locations. However, conventional methods…

Methodology · Statistics 2025-05-16 Luca Scrucca , Dimitris Karlis

Shooting location is a core indicator of offensive style in invasion sports. Existing basketball shot-chart analyses often use spatial information for descriptive visualization, location-based efficiency modeling, or clustering players into…

Methodology · Statistics 2026-03-26 Kazuhiro Yamada , Keisuke Fujii

We propose a multidimensional tensor clustering approach for studying how professional basketball players' shooting patterns vary over court locations and game time. Unlike most existing methods that only study continuous-valued tensors or…

Methodology · Statistics 2022-05-23 Guanyu Hu , Yishu Xue , Weining Shen

Basketball analytics has significantly advanced our understanding of the game, with shot selection emerging as a critical factor in both individual and team performance. With the advent of player tracking technologies, a wealth of granular…

Applications · Statistics 2025-03-12 Jiahao Cao , Hou-Cheng Yang , Guanyu Hu

In this paper, we develop a group learning approach to analyze the underlying heterogeneity structure of shot selection among professional basketball players in the NBA. We propose a mixture of finite mixtures (MFM) model to capture the…

Applications · Statistics 2020-10-21 Guanyu Hu , Hou-Cheng Yang , Yishu Xue

In this paper, we develop a novel depth-based testing procedure on spatial point processes to examine the difference in made and missed field goal attempts for NBA players. Specifically, our testing procedure can statistically detect the…

Applications · Statistics 2024-08-19 Kai Qi , Guanyu Hu , Wei Wu

Every shot in basketball has an opportunity cost; one player's shot eliminates all potential opportunities from their teammates for that play. For this reason, player-shot efficiency should ultimately be considered relative to the lineup.…

Applications · Statistics 2021-04-19 Nathan Sandholtz , Jacob Mortensen , Luke Bornn

Intensity estimation is a common problem in statistical analysis of spatial point pattern data. This paper proposes a nonparametric Bayesian method for estimating the spatial point process intensity based on mixture of finite mixture (MFM)…

Methodology · Statistics 2019-07-09 Junxian Geng , Wei Shi , Guanyu Hu

This paper presents CourtMotion, a spatiotemporal modeling framework for analyzing and predicting game events and plays as they develop in professional basketball. Anticipating basketball events requires understanding both physical motion…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Omer Sela , Michael Chertok , Lior Wolf

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have…

Applications · Statistics 2021-04-05 Guanyu Hu , Hou-Cheng Yang , Yishu Xue , Dipak K. Dey

Spatial point pattern data are routinely encountered. A flexible regression model for the underlying intensity is essential to characterizing the spatial point pattern and understanding the impacts of potential risk factors on such pattern.…

Methodology · Statistics 2022-12-15 Jieying Jiao , Guanyu Hu , Jun Yan

This paper develops metrics from a social network perspective that are directly translatable to the outcome of a basketball game. We extend a state-of-the-art multi-resolution stochastic process approach to modeling basketball by modeling…

Applications · Statistics 2019-10-01 Fan Bu , Sonia Xu , Katherine Heller , Alexander Volfovsky

Traditional NBA player evaluation metrics are based on scoring differential or some pace-adjusted linear combination of box score statistics like points, rebounds, assists, etc. These measures treat performances with the outcome of the game…

Applications · Statistics 2023-09-21 Sameer K. Deshpande , Shane T. Jensen

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

In this paper, we propose two novel basketball metrics: ``expected points'' for team-based comparisons and ``expected points above average (EPAA)'' as a player-evaluation tool. Established within the Bayesian hierarchical model framework,…

Other Statistics · Statistics 2025-08-05 Benjamin Williams , Erin M. Schliep , Bailey Fosdick , Ryan Elmore

During the past few years advancements in sports information systems and technology has allowed us to collect a number of detailed spatio-temporal data capturing various aspects of basketball. For example, shot charts, that is, maps…

Machine Learning · Computer Science 2018-08-24 Evangelos Papalexakis , Konstantinos Pelechrinis
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