Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The electrostatic graph algorithm: a physics-defined method for
  converting a time-series into a weighted complex network   This paper proposes a new method for converting a time-series into a weighted
graph (complex network), which builds on the electrostatic conceptualization
originating from physics. The proposed method conceptualizes a time-series as a
series of stationary, electrically charged particles, on which Coulomb-like
forces can be computed. This allows generating electrostatic-like graphs
associated to time-series that, additionally to the existing transformations,
can be also weighted and sometimes disconnected. Within this context, the paper
examines the structural relevance between five different types of time-series
and their associated graphs generated by the proposed algorithm and the
visibility graph, which is currently the most established algorithm in the
literature. The analysis compares the source time-series with the network-based
node-series generated by network measures that are arranged into the
node-ordering of the source time-series, in terms of linearity, chaotic
behaviour, stationarity, periodicity, and cyclical structure. It is shown that
the proposed electrostatic graph algorithm produces graphs that are more
relevant to the structure of the source time-series by introducing a
transformation that converts the time-series to graphs. This is more natural
rather than algebraic, in comparison with existing physics-defined methods. The
overall approach also suggests a methodological framework for evaluating the
structural relevance between the source time-series and their associated graphs
produced by any possible transformation.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an