Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variance reduction using antithetic variables for a nonlinear convex
  stochastic homogenization problem   We consider a nonlinear convex stochastic homogenization problem, in a
stationary setting. In practice, the deterministic homogenized energy density
can only be approximated by a random apparent energy density, obtained by
solving the corrector problem on a truncated domain.
  We show that the technique of antithetic variables can be used to reduce the
variance of the computed quantities, and thereby decrease the computational
cost at equal accuracy. This leads to an efficient approach for approximating
expectations of the apparent homogenized energy density and of related
quantities.
  The efficiency of the approach is numerically illustrated on several test
cases. Some elements of analysis are also provided.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci