Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of Fr\'echet medians in Riemannian manifolds   The consistency of Fr\'echet medians is proved for probability measures in
proper metric spaces. In the context of Riemannian manifolds, assuming that the
probability measure has more than a half mass lying in a convex ball and
verifies some concentration conditions, the positions of its Fr\'echet medians
are estimated. It is also shown that, in compact Riemannian manifolds, the
Fr\'echet sample medians of generic data points are always unique.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int