Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network construction: A learning framework through localizing principal
  eigenvector   Information of localization properties of eigenvectors of the complex network
has applicability in many different areas which include networks centrality
measures, spectral partitioning, development of approximation algorithms, and
disease spreading phenomenon. For linear dynamical process localization of
principal eigenvector (PEV) of adjacency matrices infers condensation of the
information in the smaller section of the network. For a network, an
eigenvector is said to be localized when most of its components are near to
zero with few taking very high values. Here, we provide three different
random-sampling-based algorithms which, by using the edge rewiring method, can
evolve a random network having a delocalized PEV to a network having a highly
localized PEV. In other words, we develop a learning framework to explore the
localization of PEV through a random sampling-based optimization method. We
discuss the drawbacks and advantages of these algorithms. Additionally, we show
that the construction of such networks corresponding to the highly localized
PEV is a non-convex optimization problem when the objective function is the
inverse participation ratio. This framework is also relevant to construct a
network structure for other lower-order eigenvectors.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph