Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sparse Optimization Problem with s-difference Regularization   In this paper, a s-difference type regularization for sparse recovery problem
is proposed, which is the difference of the normal penalty function R(x) and
its corresponding struncated function R (xs). First, we show the equivalent
conditions between the L0 constrained problem and the unconstrained
s-difference penalty regularized problem. Next, we choose the forward-backward
splitting (FBS) method to solve the nonconvex regularizes function and further
derive some closed-form solutions for the proximal mapping of the s-difference
regularization with some commonly used R(x), which makes the FBS easy and fast.
We also show that any cluster point of the sequence generated by the proposed
algorithm converges to a stationary point. Numerical experiments demonstrate
the efficiency of the proposed s-difference regularization in comparison with
some other existing penalty functions.

13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex