Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounding the expectation of the supremum of an empirical process over a
  (weak) vc-major class   Given a bounded class of functions G and independent random variables X1, . .
. , Xn, we provide an upper bound for the expectation of the supremum of the
empirical process over elements of G having a small variance. Our bound applies
in the cases where G is a VC-subgraph or a VC-major class and it is of smaller
order than those one could get by using a universal entropy bound over the
whole class G . It also involves explicit constants and does not require the
knowledge of the entropy of G

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph