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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

Modern basketball is all about creating efficient shots, that is, shots with high payoff. This is not necessarily equivalent to creating looks with the highest probability of success. In particular, the two most efficient shots in the NBA -…

Applications · Statistics 2021-05-28 Konstantinos Pelechrinis , Kirk Goldsberry

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

Even though it might have taken some time, the three-point line ultimately changed the way the game is played as evidenced by the increase in the three-point shot attempts over the years. However, during the last few years we have…

Applications · Statistics 2016-09-13 Konstantinos Pelechrinis

With the NBA's adoption of in-game limb tracking in 2023, Sony's Hawk-Eye system now captures high-resolution, 3D poses of players and the ball 60 times per second. Linking these data to key events opens a new era in NBA analytics. Here, we…

Applications · Statistics 2026-04-30 Jake McGrath , Amanda Glazer , Vanna Bushong , Michelle Nguyen , Kirk Goldsberry

In basketball, every time the offense produces a shot opportunity the player with the ball must decide whether the shot is worth taking. In this paper, I explore the question of when a team should shoot and when they should pass up the shot…

Physics and Society · Physics 2012-01-30 Brian Skinner

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

One of the emerging trends for sports analytics is the growing use of player and ball tracking data. A parallel development is deep learning predictive approaches that use vast quantities of data with less reliance on feature engineering.…

Neural and Evolutionary Computing · Computer Science 2016-08-17 Rajiv Shah , Rob Romijnders

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

Previous studies in the perimeter defense game have largely focused on the fully observable setting where the true player states are known to all players. However, this is unrealistic for practical implementation since defenders may have to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Elijah S. Lee , Giuseppe Loianno , Dinesh Jayaraman , Vijay Kumar

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

The perimeter defense game has received interest in recent years as a variant of the pursuit-evasion game. A number of previous works have solved this game to obtain the optimal strategies for defender and intruder, but the derived theory…

Robotics · Computer Science 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

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

During the 2017 NBA playoffs, Celtics coach Brad Stevens was faced with a difficult decision when defending against the Cavaliers: "Do you double and risk giving up easy shots, or stay at home and do the best you can?" It's a tough call,…

Machine Learning · Computer Science 2018-03-09 Jiaxuan Wang , Ian Fox , Jonathan Skaza , Nick Linck , Satinder Singh , Jenna Wiens

Understanding player shooting profiles is an essential part of basketball analysis: knowing where certain opposing players like to shoot from can help coaches neutralize offensive gameplans from their opponents; understanding where their…

Machine Learning · Computer Science 2023-03-20 Alejandro Rodriguez Pascual , Ishan Mehta , Muhammad Khan , Frank Rodriz , Rose Yu

In this paper, we predict the likelihood of a player making a shot in basketball from multiagent trajectories. Previous approaches to similar problems center on hand-crafting features to capture domain specific knowledge. Although…

Machine Learning · Statistics 2021-01-19 Mark Harmon , Abdolghani Ebrahimi , Patrick Lucey , Diego Klabjan

The purpose of this paper is to determine whether basketball teams who choose to employ an offensive strategy that involves predominantly shooting three point shots is stable and optimal. We employ a game-theoretical approach using…

Dynamical Systems · Mathematics 2015-06-24 Ikjyot Singh Kohli

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

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

The underlying physics of basketball shooting seems to be a straightforward example of the Newtonian mechanics that can easily be traced by numerical methods. However, a human basketball player does not make use of all the possible…

Popular Physics · Physics 2016-10-25 Byeong June Min
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