A Novel Semismooth Newton Algorithm for PCA-Twin Support Vector Machine

Mingzhu Cui, L. Fan
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Abstract

TWSVM is an algorithm model with good classification performance in machine learning. By finding two non-parallel hyperplanes, the model makes any hyperplane as close as possible to one kind of data and as far as possible to the other kind of data. In order to alleviate the influence of quadratic coefficient on the operation time during iteration, PCA dimensionality reduction algorithm is added in this paper. The semismooth newton algorithm is applied to solve dimensionality reduction L2-CSVM and L2-TWSVM. The results show that the proposed algorithm can not only significantly reduce the computational complexity, but also improve the training accuracy.
一种新的PCA-Twin支持向量机的半光滑牛顿算法
TWSVM是机器学习中具有良好分类性能的算法模型。通过寻找两个不平行的超平面,该模型使任何超平面尽可能接近一种数据,并尽可能接近另一种数据。为了减轻迭代过程中二次系数对运算时间的影响,本文增加了PCA降维算法。采用半光滑牛顿算法求解降维问题L2-CSVM和L2-TWSVM。结果表明,该算法不仅可以显著降低计算复杂度,而且可以提高训练精度。
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