Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the Restricted Isometry Property in Orthogonal Matching
  Pursuit algorithm   This paper demonstrates theoretically that if the restricted isometry
constant $\delta_K$ of the compressed sensing matrix satisfies $$ \delta_{K+1}
< \frac{1}{\sqrt{K}+1}, $$ then a greedy algorithm called Orthogonal Matching
Pursuit (OMP) can recover a signal with $K$ nonzero entries in $K$ iterations.
In contrast, matrices are also constructed with restricted isometry constant $$
\delta_{K+1} = \frac{1}{\sqrt{K}} $$ such that OMP can not recover $K$-sparse
$x$ in $K$ iterations. This result shows that the conjecture given by Dai and
Milenkovic is ture.

22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ