Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A purely data-driven framework for prediction, optimization, and control
  of networked processes: application to networked SIS epidemic model   Networks are landmarks of many complex phenomena where interweaving
interactions between different agents transform simple local rule-sets into
nonlinear emergent behaviors. While some recent studies unveil associations
between the network structure and the underlying dynamical process, identifying
stochastic nonlinear dynamical processes continues to be an outstanding
problem. Here we develop a simple data-driven framework based on
operator-theoretic techniques to identify and control stochastic nonlinear
dynamics taking place over large-scale networks. The proposed approach requires
no prior knowledge of the network structure and identifies the underlying
dynamics solely using a collection of two-step snapshots of the states. This
data-driven system identification is achieved by using the Koopman operator to
find a low dimensional representation of the dynamical patterns that evolve
linearly. Further, we use the global linear Koopman model to solve critical
control problems by applying to model predictive control (MPC)--typically, a
challenging proposition when applied to large networks. We show that our
proposed approach tackles this by converting the original nonlinear programming
into a more tractable optimization problem that is both convex and with far
fewer variables.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas