Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor Restricted Isometry Property Analysis For a Large Class of Random
  Measurement Ensembles   In previous work, theoretical analysis based on the tensor Restricted
Isometry Property (t-RIP) established the robust recovery guarantees of a
low-tubal-rank tensor. The obtained sufficient conditions depend strongly on
the assumption that the linear measurement maps satisfy the t-RIP. In this
paper, by exploiting the probabilistic arguments, we prove that such linear
measurement maps exist under suitable conditions on the number of measurements
in terms of the tubal rank r and the size of third-order tensor n1, n2, n3. And
the obtained minimal possible number of linear measurements is nearly optimal
compared with the degrees of freedom of a tensor with tubal rank r. Specially,
we consider a random sub-Gaussian distribution that includes Gaussian,
Bernoulli and all bounded distributions and construct a large class of linear
maps that satisfy a t-RIP with high probability. Moreover, the validity of the
required number of measurements is verified by numerical experiments.

7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph