Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The perturbation analysis of nonconvex low-rank matrix robust recovery   In this paper, we bring forward a completely perturbed nonconvex Schatten
$p$-minimization to address a model of completely perturbed low-rank matrix
recovery. The paper that based on the restricted isometry property generalizes
the investigation to a complete perturbation model thinking over not only noise
but also perturbation, gives the restricted isometry property condition that
guarantees the recovery of low-rank matrix and the corresponding reconstruction
error bound. In particular, the analysis of the result reveals that in the case
that $p$ decreases $0$ and $a>1$ for the complete perturbation and low-rank
matrix, the condition is the optimal sufficient condition $\delta_{2r}<1$
\cite{Recht et al 2010}. The numerical experiments are conducted to show better
performance, and provides outperformance of the nonconvex Schatten
$p$-minimization method comparing with the convex nuclear norm minimization
approach in the completely perturbed scenario.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th