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Ball Tree#

A binary spatial tree that partitions a dataset into successively smaller and tighter ball nodes whose boundaries are defined by a sphere. Ball Trees work well in higher dimensions since the partitioning schema does not rely on a finite number of 1-dimensional axis aligned splits as with k-d trees.

Interfaces: Binary Tree, Spatial

Data Type Compatibility: Depends on distance kernel

Parameters#

# Param Default Type Description
1 max leaf size 30 int The maximum number of samples that each leaf node can contain.
2 kernel Euclidean Distance The distance kernel used to compute the distance between sample points.

Additional Methods#

Return the path of a sample taken from the root node to a leaf node in an array.

public path(array $sample) : array

Example#

use Rubix\ML\Graph\Trees\BallTree;
use Rubix\ML\Kernels\Distance\Euclidean;

$tree = new BallTree(40, new Euclidean());

References#

  • S. M. Omohundro. (1989). Five Balltree Construction Algorithms.
  • M. Dolatshah et al. (2015). Ball*-tree: Efficient spatial indexing for constrained nearest-neighbor search in metric spaces.