Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint inference of multiple graphs with hidden variables from stationary
  graph signals   Learning graphs from sets of nodal observations represents a prominent
problem formally known as graph topology inference. However, current approaches
are limited by typically focusing on inferring single networks, and they assume
that observations from all nodes are available. First, many contemporary setups
involve multiple related networks, and second, it is often the case that only a
subset of nodes is observed while the rest remain hidden. Motivated by these
facts, we introduce a joint graph topology inference method that models the
influence of the hidden variables. Under the assumptions that the observed
signals are stationary on the sought graphs and the graphs are closely related,
the joint estimation of multiple networks allows us to exploit such
relationships to improve the quality of the learned graphs. Moreover, we
confront the challenging problem of modeling the influence of the hidden nodes
to minimize their detrimental effect. To obtain an amenable approach, we take
advantage of the particular structure of the setup at hand and leverage the
similarity between the different graphs, which affects both the observed and
the hidden nodes. To test the proposed method, numerical simulations over
synthetic and real-world graphs are provided.

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph