Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Iteratively Reweighted Method for Sparse Optimization on Nonconvex
  $\ell_{p}$ Ball   This paper is intended to solve the nonconvex $\ell_{p}$-ball constrained
nonlinear optimization problems. An iteratively reweighted method is proposed,
which solves a sequence of weighted $\ell_{1}$-ball projection subproblems. At
each iteration, the next iterate is obtained by moving along the negative
gradient with a stepsize and then projecting the resulted point onto the
weighted $\ell_{1}$ ball to approximate the $\ell_{p}$ ball. Specifically, if
the current iterate is in the interior of the feasible set, then the weighted
$\ell_{1}$ ball is formed by linearizing the $\ell_{p}$ norm at the current
iterate. If the current iterate is on the boundary of the feasible set, then
the weighted $\ell_{1}$ ball is formed differently by keeping those zero
components in the current iterate still zero. In our analysis, we prove that
the generated iterates converge to a first-order stationary point. Numerical
experiments demonstrate the effectiveness of the proposed method.

15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat