Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inference on covariance operators via concentration inequalities:
  k-sample tests, classification, and clustering via Rademacher complexities   We propose a novel approach to the analysis of covariance operators making
use of concentration inequalities. First, non-asymptotic confidence sets are
constructed for such operators. Then, subsequent applications including a k
sample test for equality of covariance, a functional data classifier, and an
expectation-maximization style clustering algorithm are derived and tested on
both simulated and phoneme data.

26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs