Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Unfolding: Exact Recovery of Latent Convex Tensor Decomposition
  under Reshuffling   Exact recovery of tensor decomposition (TD) methods is a desirable property
in both unsupervised learning and scientific data analysis. The numerical
defects of TD methods, however, limit their practical applications on
real-world data. As an alternative, convex tensor decomposition (CTD) was
proposed to alleviate these problems, but its exact-recovery property is not
properly addressed so far. To this end, we focus on latent convex tensor
decomposition (LCTD), a practically widely-used CTD model, and rigorously prove
a sufficient condition for its exact-recovery property. Furthermore, we show
that such property can be also achieved by a more general model than LCTD. In
the new model, we generalize the classic tensor (un-)folding into reshuffling
operation, a more flexible mapping to relocate the entries of the matrix into a
tensor. Armed with the reshuffling operations and exact-recovery property, we
explore a totally novel application for (generalized) LCTD, i.e., image
steganography. Experimental results on synthetic data validate our theory, and
results on image steganography show that our method outperforms the
state-of-the-art methods.

5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph