Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A refined mean field approximation of synchronous discrete-time
  population models   Mean field approximation is a popular method to study the behaviour of
stochastic models composed of a large number of interacting objects. When the
objects are asynchronous, the mean field approximation of a population model
can be expressed as an ordinary differential equation. When the objects are
(clock-) synchronous the mean field approximation is a discrete time dynamical
system. We focus on the latter.We study the accuracy of mean field
approximation when this approximation is a discrete-time dynamical system. We
extend a result that was shown for the continuous time case and we prove that
expected performance indicators estimated by mean field approximation are
$O(1/N)$-accurate. We provide simple expressions to effectively compute the
asymptotic error of mean field approximation, for finite time-horizon and
steady-state, and we use this computed error to propose what we call a
\emph{refined} mean field approximation. We show, by using a few numerical
examples, that this technique improves the quality of approximation compared to
the classical mean field approximation, especially for relatively small
population sizes.

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol