Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tolerant Compressed Sensing With Partially Coherent Sensing Matrices   Most of compressed sensing (CS) theory to date is focused on incoherent
sensing, that is, columns from the sensing matrix are highly uncorrelated.
However, sensing systems with naturally occurring correlations arise in many
applications, such as signal detection, motion detection and radar. Moreover,
in these applications it is often not necessary to know the support of the
signal exactly, but instead small errors in the support and signal are
tolerable.
  Despite the abundance of work utilizing incoherent sensing matrices, for this
type of tolerant recovery we suggest that coherence is actually beneficial. We
promote the use of coherent sampling when tolerant support recovery is
acceptable, and demonstrate its advantages empirically. In addition, we provide
a first step towards theoretical analysis by considering a specific
reconstruction method for selected signal classes.

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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th