Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of multiplex networks with correlated layers   The characterization of various properties of real-world systems requires the
knowledge of the underlying network of connections among the system's
components. Unfortunately, in many situations the complete topology of this
network is empirically inaccessible, and one has to resort to probabilistic
techniques to infer it from limited information. While network reconstruction
methods have reached some degree of maturity in the case of single-layer
networks (where nodes can be connected only by one type of links), the problem
is practically unexplored in the case of multiplex networks, where several
interdependent layers, each with a different type of links, coexist. Even the
most advanced network reconstruction techniques, if applied to each layer
separately, fail in replicating the observed inter-layer dependencies making up
the whole coupled multiplex. Here we develop a methodology to reconstruct a
class of correlated multiplexes which includes the World Trade Multiplex as a
specific example we study in detail. Our method starts from any reconstruction
model that successfully reproduces some desired marginal properties, including
node strengths and/or node degrees, of each layer separately. It then
introduces the minimal dependency structure required to replicate an additional
set of higher-order properties that quantify the portion of each node's degree
and each node's strength that is shared and/or reciprocated across pairs of
layers. These properties are found to provide empirically robust measures of
inter-layer coupling. Our method allows joint multi-layer connection
probabilities to be reliably reconstructed from marginal ones, effectively
bridging the gap between single-layer properties and truly multiplex
information.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
16
The categories of this paper are: stat