Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concentration of measure and generalized product of random vectors with
  an application to Hanson-Wright-like inequalities   Starting from concentration of measure hypotheses on $m$ random vectors
$Z_1,\ldots, Z_m$, this article provides an expression of the concentration of
functionals $\phi(Z_1,\ldots, Z_m)$ where the variations of $\phi$ on each
variable depend on the product of the norms (or semi-norms) of the other
variables (as if $\phi$ were a product). We illustrate the importance of this
result through various generalizations of the Hanson-Wright concentration
inequality as well as through a study of the random matrix $XDX^T$ and its
resolvent $Q = (I_p - \frac{1}{n}XDX^T)^{-1}$, where $X$ and $D$ are random,
which have fundamental interest in statistical machine learning applications.

13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol