English

Escaping the curse of dimensionality with a tree-based regressor

Machine Learning 2009-09-30 v1

Abstract

We present the first tree-based regressor whose convergence rate depends only on the intrinsic dimension of the data, namely its Assouad dimension. The regressor uses the RPtree partitioning procedure, a simple randomized variant of k-d trees.

Cite

@article{arxiv.0902.3453,
  title  = {Escaping the curse of dimensionality with a tree-based regressor},
  author = {Samory Kpotufe},
  journal= {arXiv preprint arXiv:0902.3453},
  year   = {2009}
}
R2 v1 2026-06-21T12:13:33.963Z