Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting Hidden Layers from Spreading Dynamics on Complex Networks   When dealing with spreading processes on networks it can be of the utmost
importance to test the reliability of data and identify potential unobserved
spreading paths. In this paper we address these problems and propose methods
for hidden layer identification and reconstruction. We also explore the
interplay between difficulty of the task and the structure of the multilayer
network describing the whole system where the spreading process occurs. Our
methods stem from an exact expression for the likelihood of a cascade in the
Susceptible-Infected model on an arbitrary graph. We then show that by
imploring statistical properties of unimodal distributions and simple
heuristics describing joint likelihood of a series of cascades one can obtain
an estimate of both existence of a hidden layer and its content with success
rates far exceeding those of a null model. We conduct our analyses on both
synthetic and real-world networks providing evidence for the viability of the
approach presented.

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph