Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Stochastic Properties of $\ell^1$-Regularized Spherical Gaussian
  Fields   Convex regularization techniques are now widespread tools for solving inverse
problems in a variety of different frameworks. In some cases, the functions to
be reconstructed are naturally viewed as realizations from random processes; an
important question is thus whether such regularization techniques preserve the
properties of the underlying probability measures. We focus here on a case
which has produced a very lively debate in the cosmological literature, namely
Gaussian and isotropic spherical random fields, and we prove that Gaussianity
and isotropy are not conserved in general under convex regularization over a
Fourier dictionary, such as the orthonormal system of spherical harmonics.

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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci