Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universal deviation inequality for random polytopes   We consider the convex hull of a finite sample of i.i.d. points uniformly
distributed in a convex body in $\R^d$, $d\geq 2$. We prove an exponential
deviation inequality, which leads to rate optimal upper bounds on all the
moments of the missing volume of the convex hull, uniformly over all convex
bodies of $\R^d$, with no restriction on their volume, location in the space
and smoothness of the boundary.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph