Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soft Recovery With General Atomic Norms   This paper describes a dual certificate condition on a linear measurement
operator $A$ (defined on a Hilbert space $\mathcal{H}$ and having
finite-dimensional range) which guarantees that an atomic norm minimization, in
a certain sense, will be able to approximately recover a structured signal $v_0
\in \mathcal{H}$ from measurements $Av_0$. Put very streamlined, the condition
implies that peaks in a sparse decomposition of $v_0$ are close the the support
of the atomic decomposition of the solution $v^*$. The condition applies in a
relatively general context - in particular, the space $\mathcal{H}$ can be
infinite-dimensional. The abstract framework is applied to several concrete
examples, one example being super-resolution. In this process, several novel
results which are interesting on its own are obtained.

27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex