Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Distances between Networks and Its Application to Brain
  Imaging   This paper surveys various distance measures for networks and graphs that
were introduced in persistent homology. The scope of the paper is limited to
network distances that were actually used in brain networks but the methods can
be easily adapted to any weighted graph in other fields. The network version of
Gromov-Hausdorff, bottleneck, kernel distances are introduced. We also
introduce a recently developed KS-test like distance based on monotonic
topology features such as the zeroth Betti number. Numerous toy examples and
the result of applying many different distances to the brain networks of
different clinical status and populations are given.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org