English

A remark on the diameter of random sections of convex bodies

Functional Analysis 2013-12-13 v1

Abstract

We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles.

Keywords

Cite

@article{arxiv.1312.3608,
  title  = {A remark on the diameter of random sections of convex bodies},
  author = {Shahar Mendelson},
  journal= {arXiv preprint arXiv:1312.3608},
  year   = {2013}
}