Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Data Analysis   Topological Data Analysis (TDA) can broadly be described as a collection of
data analysis methods that find structure in data. This includes: clustering,
manifold estimation, nonlinear dimension reduction, mode estimation, ridge
estimation and persistent homology. This paper reviews some of these methods.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin