Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-convex Fraction Function Penalty: Sparse Signals Recovered from
  Quasi-linear Systems   The goal of compressed sensing is to reconstruct a sparse signal under a few
linear measurements far less than the dimension of the ambient space of the
signal. However, many real-life applications in physics and biomedical sciences
carry some strongly nonlinear structures, and the linear model is no longer
suitable. Compared with the compressed sensing under the linear circumstance,
this nonlinear compressed sensing is much more difficult, in fact also NP-hard,
combinatorial problem, because of the discrete and discontinuous nature of the
$\ell_{0}$-norm and the nonlinearity. In order to get a convenience for sparse
signal recovery, we set most of the nonlinear models have a smooth quasi-linear
nature in this paper, and study a non-convex fraction function $\rho_{a}$ in
this quasi-linear compressed sensing. We propose an iterative fraction
thresholding algorithm to solve the regularization problem $(QP_{a}^{\lambda})$
for all $a>0$. With the change of parameter $a>0$, our algorithm could get a
promising result, which is one of the advantages for our algorithm compared
with other algorithms. Numerical experiments show that our method performs much
better compared with some state-of-art methods.

10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph