Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note: An alternative proof of the vulnerability of $k$-NN classifiers in
  high intrinsic dimensionality regions   This document proposes an alternative proof of the result contained in
article "High intrinsic dimensionality facilitates adversarial attack:
Theoretical evidence", Amsaleg et a.. The proof is simpler to understand (I
believe) and leads to a more precise statement about the asymptotical
distribution of the relative amount of perturbation.

10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol