Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatio-Temporal Decomposition of Sum-of-Squares Programs for the Region
  of Attraction and Reachability   This paper presents a method for calculating Region of Attraction of a target
set (not necessarily an equilibrium) for controlled polynomial dynamical
systems, using a hierarchy of semidefinite programming problems (SDPs). Our
approach builds on previous work and addresses its main issue, the fast-growing
memory demands for solving large-scale SDPs. The main idea in this work is in
dissecting the original resource-demanding problem into multiple smaller,
interconnected, and easier to solve problems. This is achieved by
spatio-temporal splitting akin to methods based on partial differential
equations. We show that the splitting procedure retains the convergence and
outer-approximation guarantees of the previous work, while achieving higher
precision in less time and with smaller memory footprint.

36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat