Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping flows on weighted and directed networks with incomplete
  observations   Detecting significant community structure in networks with incomplete
observations is challenging because the evidence for specific solutions fades
away with missing data. For example, recent research shows that flow-based
community detection methods can highlight spurious communities in sparse
undirected and unweighted networks with missing links. Current Bayesian
approaches developed to overcome this problem do not work for incomplete
observations in weighted and directed networks that describe network flows. To
address this gap, we extend the idea behind the Bayesian estimate of the map
equation for unweighted and undirected networks to enable more robust community
detection in weighted and directed networks. We derive a weighted and directed
prior network that can incorporate metadata information and show how an
efficient implementation in the community-detection method Infomap provides
more reliable communities even with a significant fraction of data missing.

17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat