Quantitative Analysis of Mn in Soil Based on Laser-Induced Breakdown Spectroscopy Optimization

Training setnumber	Actualmass fraction /(10^-4%)	Training setnumber	Actualmass fraction /(10^-4%)	Training setnumber	Actualmass fraction /(10^-4%)	Test setnumber	Actualmass fraction /(10^-4%)
1	1134.6	13	1157.5	25	1229.2	1	533.4
2	432.3	14	622.3	26	788.8	2	540.6
3	468.9	15	1220.5	27	769.2	3	581.1
4	997.8	16	1036.9	28	1333.1	4	613.6
5	905.8	17	498.8	29	728.2	5	622.2
6	650.6	18	510.9	30	523.6	6	666.4
7	1184.7	19	906.9	31	619.5	7	717.9
8	1470.3	20	499.0	32	633.1	8	751.4
9	744.2	21	643.9	33	789.0	9	1025.0
10	703.5	22	973.0	34	827.5	10	1258.7
11	715.9	23	730.5
12	631.1	24	888.1

Table 2. Results of GSM-SVM optimization method
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Table 2. Results of GSM-SVM optimization method
Parameter t /s $\begin{matrix} R_{tra}^{2} \end{matrix}$ $\begin{matrix} R_{t}^{2} \end{matrix}$ AverageR_e /%
Result 1.8313 0.866 0.897 8.7

Table 3. Results of GA-SVM optimization method
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Table 3. Results of GA-SVM optimization method
Parameter t /s $\begin{matrix} R_{tra}^{2} \end{matrix}$ $\begin{matrix} R_{t}^{2} \end{matrix}$ AverageR_e /%
Result 3.8475 0.939 0.894 7.7

Table 4. Results of PSO-SVM optimization method
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Table 4. Results of PSO-SVM optimization method
Parameter t /s $\begin{matrix} R_{tra}^{2} \end{matrix}$ $\begin{matrix} R_{t}^{2} \end{matrix}$ AverageR_e /%
Result 3.5037 0.862 0.895 8.8

Table 5. Results of LS-SVM optimization method
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Table 5. Results of LS-SVM optimization method
Parameter t /s $\begin{matrix} R_{tra}^{2} \end{matrix}$ $\begin{matrix} R_{t}^{2} \end{matrix}$ AverageR_e /%
Result 0.0182 0.998 0.967 5.4

Table 6. Relative error of mass fraction of Mn element test set

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Table 6. Relative error of mass fraction of Mn element test set

No.		1	2	3	4	5	6	7	8	9	10	Average
Actual /(10^-4%)		533.6	540.6	518.1	613.6	622.2	666.2	718.0	751.4	1025.0	1258.7	724.7
	MIR	583.7	564.1	671.4	598.0	812.5	656.9	655.5	803.7	1043.6	1323.9	771.3
	GSM	575.5	568.6	685.0	604.6	828.5	661.0	658.6	800.7	1037.1	1316.3	773.6
Predicted /(10^-4%)	GA	529.1	516.8	592.2	590.9	715.8	601.7	529.9	699.0	1088.9	1232.3	709.7
	PSO	580.4	572.9	687.8	606.9	830.2	664.7	662.1	802.9	1033.2	1311.9	775.3
	LS	616.6	587.0	556.7	625.3	652.6	686.6	702.7	703.4	1060.6	1316.8	750.8
	MIR	9.4	4.3	15.5	2.5	30.6	1.4	8.7	7.0	1.8	5.2	8.6
	GSM	7.9	5.2	17.9	1.5	33.2	0.8	8.3	6.6	1.2	4.6	8.7
R_e/%	GA	0.8	4.4	1.9	3.7	15.0	9.7	26.2	7.0	6.2	2.1	7.7
	PSO	8.8	6.0	18.4	1.1	33.4	0.2	7.8	6.9	0.8	4.2	8.8
	LS	15.6	8.6	4.2	1.9	4.9	3.1	2.1	6.4	3.5	3.3	5.4

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Wen Sha, Jiangtao Li, Cuiping Lu. Quantitative Analysis of Mn in Soil Based on Laser-Induced Breakdown Spectroscopy Optimization[J]. Chinese Journal of Lasers, 2020, 47(5): 0511001

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