Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence Rate Analysis of Proximal Iteratively Reweighted $\ell_1$
  Methods for $\ell_p$ Regularization Problems   In this paper, we focus on the local convergence rate analysis of the
proximal iteratively reweighted $\ell_1$ algorithms for solving $\ell_p$
regularization problems, which are widely applied for inducing sparse
solutions. We show that if the Kurdyka-Lojasiewicz (KL) property is satisfied,
the algorithm converges to a unique first-order stationary point; furthermore,
the algorithm has local linear convergence or local sublinear convergence. The
theoretical results we derived are much stronger than the existing results for
iteratively reweighted $\ell_1$ algorithms.

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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
1
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: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: adap-org
3
The categories of this paper are: physics