Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connecting pairwise spheres by depth: DCOPS   We extend the classical notion of the spherical depth in \mathbb{R}^k, to the
important setup of data on a Riemannian manifold. We show that this notion of
depth satisfies a set of desirable properties. For the empirical version of
this depth function both uniform consistency and the asymptotic distribution
are studied. Consistency is also shown for functional data. The behaviour of
the depth is illustrated through several examples for Riemannian manifold data.

24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph