Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Efficient ADMM-Based Algorithm to Nonconvex Penalized Support Vector
  Machines   Support vector machines (SVMs) with sparsity-inducing nonconvex penalties
have received considerable attentions for the characteristics of automatic
classification and variable selection. However, it is quite challenging to
solve the nonconvex penalized SVMs due to their nondifferentiability,
nonsmoothness and nonconvexity. In this paper, we propose an efficient
ADMM-based algorithm to the nonconvex penalized SVMs. The proposed algorithm
covers a large class of commonly used nonconvex regularization terms including
the smooth clipped absolute deviation (SCAD) penalty, minimax concave penalty
(MCP), log-sum penalty (LSP) and capped-$\ell_1$ penalty. The computational
complexity analysis shows that the proposed algorithm enjoys low computational
cost. Moreover, the convergence of the proposed algorithm is guaranteed.
Extensive experimental evaluations on five benchmark datasets demonstrate the
superior performance of the proposed algorithm to other three state-of-the-art
approaches.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom