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A New Method Combining LDA and PLS for Dimension Reduction

机译:结合LDA和PLS的降维新方法。

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摘要

Linear discriminant analysis (LDA) is a classical statistical approach for dimensionality reduction and classification. In many cases, the projection direction of the classical and extended LDA methods is not considered optimal for special applications. Herein we combine the Partial Least Squares (PLS) method with LDA algorithm, and then propose two improved methods, named LDA-PLS and ex-LDA-PLS, respectively. The LDA-PLS amends the projection direction of LDA by using the information of PLS, while ex-LDA-PLS is an extension of LDA-PLS by combining the result of LDA-PLS and LDA, making the result closer to the optimal direction by an adjusting parameter. Comparative studies are provided between the proposed methods and other traditional dimension reduction methods such as Principal component analysis (PCA), LDA and PLS-LDA on two data sets. Experimental results show that the proposed method can achieve better classification performance.
机译:线性判别分析(LDA)是降维和分类的经典统计方法。在许多情况下,经典LDA方法和扩展LDA方法的投影方向并不适合于特殊应用。在这里,我们将偏最小二乘(PLS)方法与LDA算法相结合,然后提出了两种改进的方法,分别称为LDA-PLS和ex-LDA-PLS。 LDA-PLS通过使用PLS的信息来修改LDA的投影方向,而ex-LDA-PLS是通过将LDA-PLS和LDA的结果相结合而使LDA-PLS的扩展,从而使结果更接近于最佳方向。调整参数。在两个数据集上,对提议的方法与其他传统的降维方法(例如主成分分析(PCA),LDA和PLS-LDA)进行了比较研究。实验结果表明,该方法可以达到较好的分类效果。

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