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正则线性判别分析和最大散度判别分析的算法比较
引用本文:李莉,高建强.正则线性判别分析和最大散度判别分析的算法比较[J].井冈山大学学报(自然科学版),2013(4):5-11.
作者姓名:李莉  高建强
作者单位:南京财经大学应用数学学院;河海大学计算机与信息学院
基金项目:Graduate Education Innovation Project Fund of Jiangsu Province(CXZZ13_0239)
摘    要:我们给出了识别率偏差波动的计算公式,同时利用不同的参数在UCI的三个数据集上比较了正则线性判别分析和最大散度距离判别分析方法的识别性能。实验结果表明,在适当的参数下,正则线性判别分析的识别性能优于最大散度距离判别分析。另外,对于K近邻分类器中不同的K值,最大散度距离判别分析的识别率偏差波动要比正则线性判别分析的波动小。因此,在处理识别任务的实际应用中,对于一个稳定的识别方法,应该考虑识别率偏差波动。

关 键 词:识别率偏差波动  参数选择  分类率  正则线性判别分析  最大散度判别分析

A COMPARISON OF REGULARIZED LINEAR DISCRIMINANT ANALYSIS AND MAXIMUM SCATTER DIFFERENCE DISCRIMINANT ANALYSIS ALGORITHMS
LI Li;GAO Jian-qiang.A COMPARISON OF REGULARIZED LINEAR DISCRIMINANT ANALYSIS AND MAXIMUM SCATTER DIFFERENCE DISCRIMINANT ANALYSIS ALGORITHMS[J].Journal of Jinggangshan University(Natural Sciences Edition),2013(4):5-11.
Authors:LI Li;GAO Jian-qiang
Institution:LI Li;GAO Jian-qiang;Department of Applied Mathematics, Nanjing University of Finance and Economics;College of Computer and Information Engineering, Hehai University;
Abstract:A calculation formula of recognition rate deviation wave (RRDW) is introduced in this paper. Meanwhile, the recognition performance of regularized linear discriminant analysis (RLDA) and maximum scatter difference discriminant analysis 0VISD) methods were compared by using different parameters in three UCI data sets. The experimental results show that the recognition performance of RLDA is outperforms MSD under appropriate parameters. In addition, for different K values of K-nearest neighbor classifier (K-NNC), the RRDW of MSD is smaller than RLDA. Therefore, in practical applications, RRDW should be considered as a stable method to handle recognition tasks.
Keywords:RRDW  parameter selection  classification rate  RLDA  MSD
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