A New Feature Extraction Based on Linear Support Vector Regression

Yu Zhefu, Huibiao Lu, Chuanying Jia
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Abstract

At first, a linear support vector regression feature extraction algorithm was introduced concisely. Then two improvements were presented in order that a simply explicit nonlinear regress function can be gotten easily by SVR feature extraction. One improvement was to decrease the dimensions of input space at the expense of regression function accuracy. Another improvement was to map the linear space to polynomial space corresponding to input features. The order of polynomial space depends on practical applications. Experimental result showed the efficiency of the improvements.
一种基于线性支持向量回归的特征提取方法
首先简要介绍了一种线性支持向量回归特征提取算法。在此基础上提出了两种改进方法,以便通过SVR特征提取得到简单显式的非线性回归函数。一种改进是以牺牲回归函数的精度为代价来降低输入空间的维数。另一个改进是将线性空间映射到与输入特征相对应的多项式空间。多项式空间的阶取决于实际应用。实验结果表明了改进的有效性。
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