Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improving the Correlation Lower Bound for Simultaneous Orthogonal
  Matching Pursuit   The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find
the joint support of a set of sparse signals acquired under a multiple
measurement vector model. Critically, the analysis of SOMP depends on the
maximal inner product of any atom of a suitable dictionary and the current
signal residual, which is formed by the subtraction of previously selected
atoms. This inner product, or correlation, is a key metric to determine the
best atom to pick at each iteration. This paper provides, for each iteration of
SOMP, a novel lower bound of the aforementioned metric for the atoms belonging
to the correct and common joint support of the multiple signals. Although the
bound is obtained for the noiseless case, its main purpose is to intervene in
noisy analyses of SOMP. Finally, it is shown for specific signal patterns that
the proposed bound outperforms state-of-the-art results for SOMP, and
orthogonal matching pursuit (OMP) as a special case.

20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex