Wavelength Selection Algorithm Based on Minimum Correlation Coefficient for Multivariate Calibration

Table 1. The strength of correlation corresponding to the correlation coefficient between variables
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Table 1. The strength of correlation corresponding to the correlation coefficient between variables
相关系数绝对值相关强度
0.8~1.0 极强相关
0.6~0.8 强相关
0.4~0.6 中等程度相关
0.2~0.4 弱相关
0.0~0.2 极弱相关或无相关

Table 2. Results of sample chemical property

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Table 2. Results of sample chemical property

性质	样本集	样本数	最小值	最大值	平均值	标准差	变异系数/%
Dataset1(BP50)	Whole set	246	197	293	258.38	17.06	6.6
	Calibration set	148	197	293	256.32	19.19	7.5
	Validation set	49	201	280	260.86	12.83	4.9
	Prediction set	49	198	283	262.12	12.62	4.8
Dataset2(SOM)	Whole set	108	42.91	95.85	85.43	10.82	12.7
	Calibration set	65	42.91	95.85	82.52	12.82	15.5
	Validation set	22	76.74	93.24	88.30	4.79	5.4
	Prediction set	21	86.65	93.46	91.40	1.63	1.8

Table 3. Model results based on different wavelength selection methods for diesel fuels datasets

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Table 3. Model results based on different wavelength selection methods for diesel fuels datasets

No.	建模方法	波长数	Validation set		Prediction set
No.	建模方法	波长数	R²	RMSE	R²	RMSE
1	FULL-PLSR	401	0.865 0	4.677 8	0.905 2	3.946 8
2	SPA-MLR	25	0.953 6	2.834 5	0.953 9	2.844 9
3	CARS-PLSR	18	0.928 9	4.760 1	0.927 9	3.544 5
4	IRIV-PLSR	60	0.966 4	3.274 7	0.956 8	2.639 6
5	RF-PLSR	34	0.948 0	4.071 9	0.943 4	3.009 9
6	MCC-MLR	20	0.953 9	2.760 1	0.956 0	2.779 2

Table 4. Model results based on different wavelength selection methods for soil datasets

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Table 4. Model results based on different wavelength selection methods for soil datasets

No.	建模方法	波长数	Validation set		Prediction set
No.	建模方法	波长数	R²	RMSE	R²	RMSE
1	FULL-PLSR	850	0.585 2	3.229 9	0.656 2	2.917 6
2	SPA-MLR	23	0.953 9	0.908 9	0.810 1	1.870 9
3	CARS-PLSR	9	0.975 5	1.803 9	0.908 8	1.368 2
4	IRIV-PLSR	33	0.912 4	1.182 5	0.910 6	1.027 9
5	RF-PLSR	25	0.898 8	1.282 7	0.807 4	2.108 4
6	MCC-MLR	12	0.936 1	1.144 7	0.926 5	1.032 3

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Jie-hong CHENG, Zheng-guang CHEN, Shu-juan YI. Wavelength Selection Algorithm Based on Minimum Correlation Coefficient for Multivariate Calibration[J]. Spectroscopy and Spectral Analysis, 2022, 42(3): 719

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Paper Information

Category: Research Articles

Received: Feb. 10, 2021

Accepted: May. 7, 2021

Published Online: Apr. 19, 2022

The Author Email: CHENG Jie-hong (1024212535@qq.com)

DOI:10.3964/j.issn.1000-0593(2022)03-0719-07

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. The strength of correlation corresponding to the correlation coefficient between variables

Table 1. The strength of correlation corresponding to the correlation coefficient between variables

Table 2. Results of sample chemical property

Table 2. Results of sample chemical property

Table 3. Model results based on different wavelength selection methods for diesel fuels datasets

Table 3. Model results based on different wavelength selection methods for diesel fuels datasets

Table 4. Model results based on different wavelength selection methods for soil datasets

Table 4. Model results based on different wavelength selection methods for soil datasets