Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low rank tensor completion with sparse regularization in a transformed
  domain   Tensor completion is a challenging problem with various applications. Many
related models based on the low-rank prior of the tensor have been proposed.
However, the low-rank prior may not be enough to recover the original tensor
from the observed incomplete tensor. In this paper, we prose a tensor
completion method by exploiting both the low-rank and sparse prior of tensor.
Specifically, the tensor completion task can be formulated as a low-rank
minimization problem with a sparse regularizer. The low-rank property is
depicted by the tensor truncated nuclear norm based on tensor singular value
decomposition (T-SVD) which is a better approximation of tensor tubal rank than
tensor nuclear norm. While the sparse regularizer is imposed by a
$\ell_{1}$-norm in a discrete cosine transformation (DCT) domain, which can
better employ the local sparse property of completed data. To solve the
optimization problem, we employ an alternating direction method of multipliers
(ADMM) in which we only need to solve several subproblems which have
closed-form solutions. Substantial experiments on real world images and videos
show that the proposed method has better performances than the existing
state-of-the-art methods.

17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn