Game of Waveforms

Over the day following a Derrick Rose 50-point performance, Jalen Rose commented that Derrick Rose took 653 dribbles over the course of the game; contrasting to a 52-point performance from Klay Thompson that only took 56 dribbles. The aim of the comment was to identify the difference between the players’ role within the offense. Thompson,…

Stochastic Tracking

In the era of tracking data, a need for a new style of analysis has emerged. Long gone are the regularized regression models and the simple counting techniques. Instead, we require leveraging shot-noise distributed systems such as Dan Cervone’s competing risks model, or Matthias Kempe’s self-organizing maps, or Peter Carr’s Imitation Learning. The list is…

Kinematics of Player Motion

After a couple special topics posts in Sketching and Voronoi Tessellation, we take a step back and look at the basic mechanics of player motion: position, velocity, and acceleration. Understanding computation and estimation of such quantities allow us to perform more important calculations such as trajectories, coverage, and crashing. The easiest way to capture these…

The Art of Sketching: Trajectory Analysis

In a recent 2017 paper posted by Andrew Miller (Harvard University / Philadelphia 76ers) and Luke Bornn (Simon Fraser University / Sacramento Kings) titled “Possession Sketches: Mapping NBA Strategies,” the duo takes a well-known manifold learning technique called trajectory analysis and develops a methodology of classifying NBA actions through the use of functional mapping of…