Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoding communities in networks   According to a recent information-theoretical proposal, the problem of
defining and identifying communities in networks can be interpreted as a
classical communication task over a noisy channel: memberships of nodes are
information bits erased by the channel, edges and non-edges in the network are
parity bits introduced by the encoder but degraded through the channel, and a
community identification algorithm is a decoder. The interpretation is
perfectly equivalent to the one at the basis of well-known statistical
inference algorithms for community detection. The only difference in the
interpretation is that a noisy channel replaces a stochastic network model.
However, the different perspective gives the opportunity to take advantage of
the rich set of tools of coding theory to generate novel insights on the
problem of community detection. In this paper, we illustrate two main
applications of standard coding-theoretical methods to community detection.
First, we leverage a state-of-the-art decoding technique to generate a family
of quasi-optimal community detection algorithms. Second and more important, we
show that the Shannon's noisy-channel coding theorem can be invoked to
establish a lower bound, here named as decodability bound, for the maximum
amount of noise tolerable by an ideal decoder to achieve perfect detection of
communities. When computed for well-established synthetic benchmarks, the
decodability bound explains accurately the performance achieved by the best
community detection algorithms existing on the market, telling us that only
little room for their improvement is still potentially left.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math