Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A multilayer exponential random graph modelling approach for weighted
  networks   A new modelling approach for the analysis of weighted networks with
ordinal/polytomous dyadic values is introduced. Specifically, it is proposed to
model the weighted network connectivity structure using a hierarchical
multilayer exponential random graph model (ERGM) generative process where each
network layer represents a different ordinal dyadic category. The network
layers are assumed to be generated by an ERGM process conditional on their
closest lower network layers. A crucial advantage of the proposed method is the
possibility of adopting the binary network statistics specification to describe
both the between-layer and across-layer network processes and thus facilitating
the interpretation of the parameter estimates associated to the network effects
included in the model. The Bayesian approach provides a natural way to quantify
the uncertainty associated to the model parameters. From a computational point
of view, an extension of the approximate exchange algorithm is proposed to
sample from the doubly-intractable parameter posterior distribution. A
simulation study is carried out on artificial data and applications of the
methodology are illustrated on well-known datasets. Finally, a goodness-of-fit
diagnostic procedure for model assessment is proposed.

21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex