Xie Hong-Ping, Jiang Jian-Hui, Chen Ze-Qin, Shen Guo-Li, Yu Ru-Qin
State Key Laboratory for Chemo/Biosensing and Chemometrics, College of Chemistry and Chemical Engineering, Hunan University, Changsa, PR China.
Anal Sci. 2006 Aug;22(8):1111-6. doi: 10.2116/analsci.22.1111.
Some raw materials that have different places of production for the plant sources of the drugs Astragalus membranaceus and ginseng have been studied, based on their near-infrared reflectance spectra. The experimentally recorded spectra represent heavily ill-posed and highly correlative data sets. Three related methods, i.e. the Fisher linear discriminant analysis (FLDA), the ridge-type linear discriminant analysis (RLDA) and a newly proposed penalized ridge-type linear discriminant analysis (PRLDA), have been investigated. FLDA over-fits for the training objects of the two data sets to a high extent and is unstable for the predictive objects of the two data sets. RLDA shows obvious improvement in terms of over-fitting and unstability, but the stability for the predictive objects of the two data sets is too sensitive to their ridge-type penalized weights, tending to produce erroneous discrimination results. The proposed PRLDA can circumvent the two aforementioned problems with a large domain of penalized weights for correct discriminant analysis of the two data sets studied. The combination of the PRLDA method and near infrared reflectance spectroscopy can be adapted for the discrimination of the production places of plant sources of these drugs.
基于黄芪和人参这两种药材植物来源的一些产地不同的原材料的近红外反射光谱进行了研究。实验记录的光谱代表了严重不适定且高度相关的数据集。研究了三种相关方法,即Fisher线性判别分析(FLDA)、岭型线性判别分析(RLDA)和新提出的惩罚岭型线性判别分析(PRLDA)。FLDA在很大程度上对两个数据集的训练对象过度拟合,并且对两个数据集的预测对象不稳定。RLDA在过度拟合和不稳定性方面有明显改善,但对两个数据集的预测对象的稳定性对其岭型惩罚权重过于敏感,容易产生错误的判别结果。所提出的PRLDA可以通过大范围的惩罚权重规避上述两个问题,从而对所研究的两个数据集进行正确的判别分析。PRLDA方法与近红外反射光谱相结合可适用于这些药材植物来源产地的判别。