English

The VC-dimension of k-vertex d-polytopes

Computational Geometry 2020-04-15 v2 Discrete Mathematics Machine Learning Combinatorics

Abstract

In this short note, we show that the VC-dimension of the class of kk-vertex polytopes in Rd\mathbb R^d is at most 8d2klog2k8d^2k\log_2k, answering an old question of Long and Warmuth.

Keywords

Cite

@article{arxiv.2004.04841,
  title  = {The VC-dimension of k-vertex d-polytopes},
  author = {Andrey Kupavskii},
  journal= {arXiv preprint arXiv:2004.04841},
  year   = {2020}
}