- Scientists say a model based on density functional theory can suggest the best positioning for each player on the basketball court.
- The researchers relied on Nobel Prize-winning methods originally developed to study large collections of quantum mechanically interacting electron.
- It’s not just basketball, density-functional fluctuation theory could be used to study everything from crowd behavior to social phenomena such as migration and segregation.
PRESS RELEASE — A physics theory that’s proven useful to predict the crowd behavior of molecules and fruit flies also seems to work on another group – NBA players.
A model based on density functional theory can suggest the best positioning for each player on the basketball court in a given scenario if they want to raise their probability of either scoring or defending successfully.
Boris Barron, a doctoral student working with Tomás Arias, professor of physics presented his work on March 9 at the American Physical Society conference in Las Vegas. He used detailed data of player positions from this season’s NBA games to develop his model.
Using the results, Barron is able to:
- predict where a particular player may go next;
- determine which players tend to be in good or bad positions;
- calculate the probability of success, either offensively or defensively, based on player positioning; and
- create simulations of how the opposing team will or should respond if a player performs a particular move, such as running across the court.
“We can see precisely where a player should be to help their team, and those few feet can result in as much as a 3% difference (in success),” he said.
“In these high-scoring games, three points out of 100 is a big deal for one player,” said Arias.
The mathematical models that Barron employs are based on Nobel Prize-winning methods originally developed to study large collections of quantum mechanically interacting electrons. The work builds on Arias’ research, which combines mathematical concepts and approaches from density-functional fluctuation theory to study everything from crowd behavior to social phenomena such as migration and segregation.
These methods work when you’re analyzing a game like basketball, Arias said, because the behavior of groups of people is difficult to quantify.
“Our physics techniques come into play because you’re not looking at players individually, but how they are collaborating on the court,” he said. “That’s why you need this higher-level analysis.”
The implications for team sports like basketball are obvious, Barron said. Coaches could input team- or player-specific data for their opponents into this model to develop a strategy to thwart the most common plays.
For additional information, see this Cornell Chronicle story.