Concave-Convex Programming for Ramp Loss-Based Maximum Margin and Minimum Volume Twin Spheres Machine
Concave-Convex Programming for Ramp Loss-Based Maximum Margin and Minimum Volume Twin Spheres Machine
复制标题
基于斜坡损失的最大余量和最小体积双球机的凹凸规划
DOI：
10.1007/s11063-018-9903-8
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发表时间：
2018-08
影响因子：
3.1
通讯作者：
Xu Yitian
中科院分区：
文献类型：
--
作者：
Wang Qian;Xu Yitian
Twin hyper-sphere support vector machine (THSVM) classifies two classes of samples via two hyper-spheres instead of a pair of nonparallel hyper-planes in the conventional twin support vector machine. It avoids the matrix inverse operation. However, the THSVM uses hinge loss which easily leads to sensitivity of the noises. In this paper, we propose a ramp loss-based maximum margin and minimum volume twin spheres machine () to enhance the ability of noise resistance.is robust because of introducing the ramp loss function, but it is non-convex.has several admirable advantages. For example, it can explicitly incorporate noises in the training process. In addition, the ramp loss function can be decomposed into the difference of a convex hinge loss and another convex loss. Then the concave-convex programming procedure is employed to efficiently solve the non-convex problems ofby solving a sequence of convex programs iteratively. Experimental results on one artificial data set, 14 imbalanced binary datasets and 3 multiclass datasets indicate that our proposedyields a good generalization performance.
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DOI：
10.1007/11941439_114
发表时间：
2006-12
期刊：
--
影响因子：
--
作者：
Marina Sokolova;N. Japkowicz;S. Szpakowicz
通讯作者：
Marina Sokolova;N. Japkowicz;S. Szpakowicz
DOI：
10.1017/cbo9780511801389.013
发表时间：
2000-03
期刊：
--
影响因子：
--
作者：
N. Cristianini;J. Shawe-Taylor
通讯作者：
N. Cristianini;J. Shawe-Taylor
DOI：
10.1109/ictai.2003.10009
发表时间：
2003
期刊：
--
影响因子：
--
作者：
J. Shawe-Taylor;N. Cristianini
通讯作者：
J. Shawe-Taylor;N. Cristianini
影响因子：
6
作者：
Xizhao Wang;Qiang He;De-gang Chen;D. Yeung
通讯作者：
Xizhao Wang;Qiang He;De-gang Chen;D. Yeung
DOI：
10.1109/tpami.2009.24
发表时间：
2009-11-01
影响因子：
23.6
作者：
Wu, Mingrui;Ye, Jieping
通讯作者：
Ye, Jieping