Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast and Accurate Low-Rank Tensor Completion Methods Based on QR
  Decomposition and $L_{2,1}$ Norm Minimization   More recently, an Approximate SVD Based on Qatar Riyal (QR) Decomposition
(CSVD-QR) method for matrix complete problem is presented, whose computational
complexity is $O(r^2(m+n))$, which is mainly due to that $r$ is far less than
$\min\{m,n\}$, where $r$ represents the largest number of singular values of
matrix $X$. What is particularly interesting is that after replacing the
nuclear norm with the $L_{2,1}$ norm proposed based on this decomposition, as
the upper bound of the nuclear norm, when the intermediate matrix $D$ in its
decomposition is close to the diagonal matrix, it will converge to the nuclear
norm, and is exactly equal, when the $D$ matrix is equal to the diagonal
matrix, to the nuclear norm, which ingeniously avoids the calculation of the
singular value of the matrix. To the best of our knowledge, there is no
literature to generalize and apply it to solve tensor complete problems.
Inspired by this, in this paper we propose a class of tensor minimization model
based on $L_{2,1}$ norm and CSVD-QR method for the tensor complete problem,
which is convex and therefore has a global minimum solution.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
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
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat