Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy estimates and model order reduction for stochastic bilinear
  systems   In this paper, we investigate a large-scale stochastic system with bilinear
drift and linear diffusion term. Such high dimensional systems appear for
example when discretizing a stochastic partial differential equations in space.
We study a particular model order reduction technique called balanced
truncation (BT) to reduce the order of spatially-discretized systems and hence
reduce computational complexity. We introduce suitable Gramians to the system
and prove energy estimates that can be used to identify states which contribute
only very little to the system dynamics. When BT is applied the reduced system
is obtained by removing these states from the original system. The main
contribution of this paper is an $L^2$-error bound for BT for stochastic
bilinear systems. This result is new even for deterministic bilinear equations.
In order to achieve it, we develop a new technique which is not available in
the literature so far.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom