Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Recovery of Community Detection in k-Community Gaussian Mixture
  Model   We study the community detection problem on a Gaussian mixture model, in
which vertices are divided into $k\geq 2$ distinct communities. The major
difference in our model is that the intensities for Gaussian perturbations are
different for different entries in the observation matrix, and we do not assume
that every community has the same number of vertices. We explicitly find the
threshold for the exact recovery of the maximum likelihood estimation.
Applications include the community detection on hypergraphs.

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th