CIESC Journal ›› 2019, Vol. 70 ›› Issue (2): 696-706.DOI: 10.11949/j.issn.0438-1157.20181354
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Received:
2018-11-16
Revised:
2018-11-26
Online:
2019-02-05
Published:
2019-02-05
Contact:
Jian TANG
通讯作者:
汤健
作者简介:
汤健(1974—),男,博士,教授,<email>freeflytang@bjut.edu.cn</email>
基金资助:
CLC Number:
Jian TANG, Junfei QIAO. Dioxin emission concentration soft measuring approach of municipal solid waste incineration based on selective ensemble kernel learning algorithm[J]. CIESC Journal, 2019, 70(2): 696-706.
汤健, 乔俊飞. 基于选择性集成核学习算法的固废焚烧过程二噁英排放浓度软测量[J]. 化工学报, 2019, 70(2): 696-706.
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URL: https://hgxb.cip.com.cn/EN/10.11949/j.issn.0438-1157.20181354
编码序号 | 核参数 | 模型类型 | 预测误差 (RMSE) | 惩罚参数 (编码序号) |
---|---|---|---|---|
1 | 0.1 | EnAll-sub-sub | 16.1059 | all |
SEN-sub | 15.0883 | 15~17 | ||
Best-Sub-sub | 15.0883 | 17 | ||
2 | 1 | EnAll-sub-sub | 12.8921 | all |
SEN-sub | 12.4234 | 2~17 | ||
Best-Sub-sub | 11.8064 | 6 | ||
3 | 100 | EnAll-sub-sub | 9.8368 | all |
SEN-sub | 7.3687 | 4~17 | ||
Best-Sub-sub | 7.7284 | 10 | ||
4 | 1000 | EnAll-sub-sub | 15.9703 | all |
SEN-sub | 8.1098 | 11~17 | ||
Best-Sub-sub | 8.1362 | 13 | ||
5 | 2000 | EnAll-sub-sub | 16.4346 | all |
SEN-sub | 8.1475 | 14~17 | ||
Best-Sub-sub | 8.1459 | 15 | ||
6 | 4000 | EnAll-sub-sub | 16.6256 | all |
SEN-sub | 8.1642 | 16~17 | ||
Best-Sub-sub | 8.1511 | 17 | ||
7 | 6000 | EnAll-sub-sub | 16.6813 | all |
SEN-sub | 8.3123 | 16~17 | ||
Best-Sub-sub | 8.2182 | 17 | ||
8 | 8000 | EnAll-sub-sub | 16.7074 | all |
SEN-sub | 8.5411 | 16~17 | ||
Best-Sub-sub | 8.3811 | 17 | ||
9 | 10000 | EnAll-sub-sub | 16.7225 | all |
SEN-sub | 8.7862 | 16~17 | ||
Best-Sub-sub | 8.5831 | 17 | ||
10 | 20000 | EnAll-sub-sub | 16.7514 | all |
SEN-sub | 9.7130 | 16~17 | ||
Best-Sub-sub | 9.4900 | 17 | ||
11 | 40000 | EnAll-sub-sub | 16.7652 | all |
SEN-sub | 10.4129 | 16~17 | ||
Best-Sub-sub | 10.2943 | 17 | ||
12 | 60000 | EnAll-sub-sub | 16.7697 | all |
SEN-sub | 10.6267 | 16~17 | ||
Best-Sub-sub | 10.5610 | 17 | ||
13 | 80000 | EnAll-sub-sub | 16.7719 | all |
SEN-sub | 10.7145 | 16~17 | ||
Best-Sub-sub | 10.6731 | 17 | ||
14 | 16000 | EnAll-sub-sub | 16.7752 | all |
SEN-sub | 10.8124 | 16~17 | ||
Best-Sub-sub | 10.7968 | 17 |
Table 1 Statistical results of candidate SEN sub-model for concrete compressive strength
编码序号 | 核参数 | 模型类型 | 预测误差 (RMSE) | 惩罚参数 (编码序号) |
---|---|---|---|---|
1 | 0.1 | EnAll-sub-sub | 16.1059 | all |
SEN-sub | 15.0883 | 15~17 | ||
Best-Sub-sub | 15.0883 | 17 | ||
2 | 1 | EnAll-sub-sub | 12.8921 | all |
SEN-sub | 12.4234 | 2~17 | ||
Best-Sub-sub | 11.8064 | 6 | ||
3 | 100 | EnAll-sub-sub | 9.8368 | all |
SEN-sub | 7.3687 | 4~17 | ||
Best-Sub-sub | 7.7284 | 10 | ||
4 | 1000 | EnAll-sub-sub | 15.9703 | all |
SEN-sub | 8.1098 | 11~17 | ||
Best-Sub-sub | 8.1362 | 13 | ||
5 | 2000 | EnAll-sub-sub | 16.4346 | all |
SEN-sub | 8.1475 | 14~17 | ||
Best-Sub-sub | 8.1459 | 15 | ||
6 | 4000 | EnAll-sub-sub | 16.6256 | all |
SEN-sub | 8.1642 | 16~17 | ||
Best-Sub-sub | 8.1511 | 17 | ||
7 | 6000 | EnAll-sub-sub | 16.6813 | all |
SEN-sub | 8.3123 | 16~17 | ||
Best-Sub-sub | 8.2182 | 17 | ||
8 | 8000 | EnAll-sub-sub | 16.7074 | all |
SEN-sub | 8.5411 | 16~17 | ||
Best-Sub-sub | 8.3811 | 17 | ||
9 | 10000 | EnAll-sub-sub | 16.7225 | all |
SEN-sub | 8.7862 | 16~17 | ||
Best-Sub-sub | 8.5831 | 17 | ||
10 | 20000 | EnAll-sub-sub | 16.7514 | all |
SEN-sub | 9.7130 | 16~17 | ||
Best-Sub-sub | 9.4900 | 17 | ||
11 | 40000 | EnAll-sub-sub | 16.7652 | all |
SEN-sub | 10.4129 | 16~17 | ||
Best-Sub-sub | 10.2943 | 17 | ||
12 | 60000 | EnAll-sub-sub | 16.7697 | all |
SEN-sub | 10.6267 | 16~17 | ||
Best-Sub-sub | 10.5610 | 17 | ||
13 | 80000 | EnAll-sub-sub | 16.7719 | all |
SEN-sub | 10.7145 | 16~17 | ||
Best-Sub-sub | 10.6731 | 17 | ||
14 | 16000 | EnAll-sub-sub | 16.7752 | all |
SEN-sub | 10.8124 | 16~17 | ||
Best-Sub-sub | 10.7968 | 17 |
集成尺寸 | 集成子模型(核参数)的编码序号 | RMSE |
---|---|---|
2 | 2,1 | 12.8102 |
3 | 3,2,1 | 9.9116 |
4 | 4,3,2,1 | 8.9488 |
5 | 5,4,3,2,1 | 8.5528 |
6 | 6,5,4,3,2, | 8.3599 |
7 | 7,6,5,4,3,2,1 | 8.2641 |
8 | 8,7,6,5,4,3,2,1 | 8.2247 |
9 | 9,8,7,6,5,4,3,2,1 | 8.2221 |
10 | 10,9,8,7,6,5,4,3,2,1 | 8.2942 |
11 | 11,10,9,8,7,6,5,4,3,2,1 | 8.4228 |
12 | 12, 11, 10,9,8,7,6,5,4,3,2,1 | 8.5617 |
13 | 13, 11, 10,9,8,7,6,5,4,3,2,1 | 8.6963 |
Table 2 Statistical results of SEN model with different size for concrete compressive strength
集成尺寸 | 集成子模型(核参数)的编码序号 | RMSE |
---|---|---|
2 | 2,1 | 12.8102 |
3 | 3,2,1 | 9.9116 |
4 | 4,3,2,1 | 8.9488 |
5 | 5,4,3,2,1 | 8.5528 |
6 | 6,5,4,3,2, | 8.3599 |
7 | 7,6,5,4,3,2,1 | 8.2641 |
8 | 8,7,6,5,4,3,2,1 | 8.2247 |
9 | 9,8,7,6,5,4,3,2,1 | 8.2221 |
10 | 10,9,8,7,6,5,4,3,2,1 | 8.2942 |
11 | 11,10,9,8,7,6,5,4,3,2,1 | 8.4228 |
12 | 12, 11, 10,9,8,7,6,5,4,3,2,1 | 8.5617 |
13 | 13, 11, 10,9,8,7,6,5,4,3,2,1 | 8.6963 |
方法 | 预测误差(RMSE) | 备注 (学习参数) | ||
---|---|---|---|---|
最大值 | 均值 | 最小值 | ||
PLS | — | 10.92 | — | LV=7 |
KPLS | — | 8.179 | — | LV=8 |
GASEN-BPNN | 14.8580 | 12.0756 | 10.3971 | 隐含节点=17 |
GASEN-LSSVM | 10.1777 | 10.0149 | 9.7490 | (100,800) |
本文方法 | — | 7.163 | — |
Table 3 Statistical results of different model approaches for concrete compressive strength
方法 | 预测误差(RMSE) | 备注 (学习参数) | ||
---|---|---|---|---|
最大值 | 均值 | 最小值 | ||
PLS | — | 10.92 | — | LV=7 |
KPLS | — | 8.179 | — | LV=8 |
GASEN-BPNN | 14.8580 | 12.0756 | 10.3971 | 隐含节点=17 |
GASEN-LSSVM | 10.1777 | 10.0149 | 9.7490 | (100,800) |
本文方法 | — | 7.163 | — |
编码序号 | 核参数 | 模型类型 | 预测误差 (RMSE) | 惩罚参数 (编码序号) |
---|---|---|---|---|
1 | 0.1 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 128.8 | 16~17 | ||
Best-Sub-sub | 128.8 | 17 | ||
2 | 1 | EnAll-sub-sub | 125.3 | all |
SEN-sub | 114.1 | 16~17 | ||
Best-Sub-sub | 114.1 | 17 | ||
3 | 100 | EnAll-sub-sub | 123.5 | all |
SEN-sub | 85.05 | 2~17 | ||
Best-Sub-sub | 90.46 | 6 | ||
4 | 1000 | EnAll-sub-sub | 128.3 | all |
SEN-sub | 85.02 | 5~17 | ||
Best-Sub-sub | 82.99 | 10 | ||
5 | 2000 | EnAll-sub-sub | 128.6 | all |
SEN-sub | 82.74 | 8~17 | ||
Best-Sub-sub | 82.62 | 11 | ||
6 | 4000 | EnAll-sub-sub | 128.7 | all |
SEN-sub | 82.74 | 8~17 | ||
Best-Sub-sub | 82.62 | 12 | ||
7 | 6000 | EnAll-sub-sub | 128.7 | all |
SEN-sub | 82.38 | 9~17 | ||
Best-Sub-sub | 83.51 | 13 | ||
8 | 8000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.43 | 10~17 | ||
Best-Sub-sub | 82.63 | 13 | ||
9 | 10000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.21 | 10~17 | ||
Best-Sub-sub | 82.87 | 13 | ||
10 | 20000 | EnAll-sub-sub | 128.85 | all |
SEN-sub | 82.29 | 12~17 | ||
Best-Sub-sub | 82.86 | 14 | ||
11 | 40000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.55 | 14~17 | ||
Best-Sub-sub | 82.85 | 15 | ||
12 | 60000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.58 | 15~17 | ||
Best-Sub-sub | 82.76 | 16 | ||
13 | 80000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.82 | 15~17 | ||
Best-Sub-sub | 82.85 | 16 | ||
14 | 16000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 84.76 | 17 | ||
Best-Sub-sub | 82.85 | 16~17 |
Table 4 Statistical results of candidate SEN-sub model for DXN emission concentrate
编码序号 | 核参数 | 模型类型 | 预测误差 (RMSE) | 惩罚参数 (编码序号) |
---|---|---|---|---|
1 | 0.1 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 128.8 | 16~17 | ||
Best-Sub-sub | 128.8 | 17 | ||
2 | 1 | EnAll-sub-sub | 125.3 | all |
SEN-sub | 114.1 | 16~17 | ||
Best-Sub-sub | 114.1 | 17 | ||
3 | 100 | EnAll-sub-sub | 123.5 | all |
SEN-sub | 85.05 | 2~17 | ||
Best-Sub-sub | 90.46 | 6 | ||
4 | 1000 | EnAll-sub-sub | 128.3 | all |
SEN-sub | 85.02 | 5~17 | ||
Best-Sub-sub | 82.99 | 10 | ||
5 | 2000 | EnAll-sub-sub | 128.6 | all |
SEN-sub | 82.74 | 8~17 | ||
Best-Sub-sub | 82.62 | 11 | ||
6 | 4000 | EnAll-sub-sub | 128.7 | all |
SEN-sub | 82.74 | 8~17 | ||
Best-Sub-sub | 82.62 | 12 | ||
7 | 6000 | EnAll-sub-sub | 128.7 | all |
SEN-sub | 82.38 | 9~17 | ||
Best-Sub-sub | 83.51 | 13 | ||
8 | 8000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.43 | 10~17 | ||
Best-Sub-sub | 82.63 | 13 | ||
9 | 10000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.21 | 10~17 | ||
Best-Sub-sub | 82.87 | 13 | ||
10 | 20000 | EnAll-sub-sub | 128.85 | all |
SEN-sub | 82.29 | 12~17 | ||
Best-Sub-sub | 82.86 | 14 | ||
11 | 40000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.55 | 14~17 | ||
Best-Sub-sub | 82.85 | 15 | ||
12 | 60000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.58 | 15~17 | ||
Best-Sub-sub | 82.76 | 16 | ||
13 | 80000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 82.82 | 15~17 | ||
Best-Sub-sub | 82.85 | 16 | ||
14 | 16000 | EnAll-sub-sub | 128.8 | all |
SEN-sub | 84.76 | 17 | ||
Best-Sub-sub | 82.85 | 16~17 |
集成尺寸 | 集成子模型(核参数)的编码序号 | RMSE |
---|---|---|
2 | 2, 1 | 120.6 |
3 | 7, 2, 1 | 90.83 |
4 | 8, 7, 2,1 | 84.00 |
5 | 9,8,7,2,1 | 81.65 |
6 | 4,9,8,7,2, , 1 | 80.51 |
7 | 10,4,9, 8,7,2,1 | 80.14 |
8 | 3,10,4,9,8,7,2 ,1 | 80.63 |
9 | 3,5,10,4,9, 8, 7 ,2 ,1 | 80.25 |
10 | 3, 6, 5,10, 4,9, 8, 7, 2 ,1 | 80.01 |
11 | 3,11, 6, 5,10, 4,9, 8, 7, 2, 1 | 79.88 |
12 | 13 , 3 ,11, 6, 5,10, 4, 9,8, 7, 2 ,1 | 79.84 |
13 | 12,13,3,11,6,5,10, 4, 9 ,8 ,7 ,2, 1 | 79.80 |
Table 5 Statistical results of SEN model with different size for DXN emission concentrate
集成尺寸 | 集成子模型(核参数)的编码序号 | RMSE |
---|---|---|
2 | 2, 1 | 120.6 |
3 | 7, 2, 1 | 90.83 |
4 | 8, 7, 2,1 | 84.00 |
5 | 9,8,7,2,1 | 81.65 |
6 | 4,9,8,7,2, , 1 | 80.51 |
7 | 10,4,9, 8,7,2,1 | 80.14 |
8 | 3,10,4,9,8,7,2 ,1 | 80.63 |
9 | 3,5,10,4,9, 8, 7 ,2 ,1 | 80.25 |
10 | 3, 6, 5,10, 4,9, 8, 7, 2 ,1 | 80.01 |
11 | 3,11, 6, 5,10, 4,9, 8, 7, 2, 1 | 79.88 |
12 | 13 , 3 ,11, 6, 5,10, 4, 9,8, 7, 2 ,1 | 79.84 |
13 | 12,13,3,11,6,5,10, 4, 9 ,8 ,7 ,2, 1 | 79.80 |
方法 | 预测误差(RMSE) | 备注 (学习参数) | ||
---|---|---|---|---|
最大值 | 均值 | 最小值 | ||
PLS | — | 95.93 | — | LV=3 |
KPLS | — | 91.19 | — | LV=3, Ker=1 |
GASEN-BPNN | 381.2 | 225.0 | 143.6 | 隐含节点=17 |
GASEN-LSSVM | 113.8 | 91.39 | 84.17 | (4000, 3200) |
本文方法 | — | 79.80 | — |
Table 6 Statistical results of different soft sensor model for DXN emission concentrate
方法 | 预测误差(RMSE) | 备注 (学习参数) | ||
---|---|---|---|---|
最大值 | 均值 | 最小值 | ||
PLS | — | 95.93 | — | LV=3 |
KPLS | — | 91.19 | — | LV=3, Ker=1 |
GASEN-BPNN | 381.2 | 225.0 | 143.6 | 隐含节点=17 |
GASEN-LSSVM | 113.8 | 91.39 | 84.17 | (4000, 3200) |
本文方法 | — | 79.80 | — |
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