基于Adaptive Elastic Net方法的近红外光谱建模技术

doi:10.3964/j.issn.1000-0593(2019)01-0319-06

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Abstract When near infrared spectral information is much larger than the sample size, it is both important and challenging to make automatic variable selection of spectral information and coefficient estimation to establish a sparse linear model between spectra and sample concentration. In this paper, adaptive Elastic Net, a variable selection method, is used to establish a quantitative calibration model between near infrared spectroscopy and o-cresol content, which is a kind of trace component and is difficult to measure in the production of polyphenylene ether. Then, the model performance is compared with the Elastic Net method. Under the circumstance that the number of variables is much larger than the sample size, although Elastic Net method can achieve variable selection, due to the fact that its coefficient estimation does not have the Oracle property, the interpretability and prediction accuracy of the model are affected. The adaptive Elastic Net method solves the above problem and improves the model performance by applying adaptive weights to L1 penalty. In order to verify model performance indicators of adaptive Elastic Net method, the number of selected independent variables (NSIV) is used to evaluate the model complexity and the complex correlation coefficient R² is used to evaluate the interpretability of the model. Meanwhile, the prediction accuracy of the model is evaluated by using the mean relative prediction error (MRPE) and the prediction correlation coefficient (R_p). The performance indicators of Elastic Net Method are: NSIV=529, R²=0.96, MRPE=3.22％, R_p=0.97; adaptive Elastic Net method’s performance indicators are: NSIV=139, R²=0.99, MRPE=2.00%, R_p=0.99. The results show that adaptive Elastic Net’s model is better than that of Elastic Net. A simpler sparse linear model with better interpretability and higher prediction accuracy can be obtained by the adaptive Elastic Net regression.

Key words：Near infrared spectroscopy; Adaptive Elastic Net; Interpretability; Prediction accuracy

Received: 2017-11-28 Accepted: 2018-05-12

ZTFLH:

O657.3

Corresponding Authors: LUAN Xiao-li E-mail: xlluan@jiangnan.edu.cn

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https://www.gpxygpfx.com/EN/10.3964/j.issn.1000-0593(2019)01-0319-06 OR https://www.gpxygpfx.com/EN/Y2019/V39/I01/319