Table 6 The standard deviation (std) results of all compared models after 10 trials on various performance metrics.
Model | Train | Test | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
MAE | RMSE | R | MAPE | NSE | KGE | MAE | RMSE | R | MAPE | NSE | KGE | |
GA-ELM | 0.0155 | 0.0224 | 0.0007 | 0.0057 | 0.0013 | 0.0009 | 0.0357 | 0.0718 | 0.0045 | 0.0063 | 0.0095 | 0.0082 |
CRO-ELM | 0.0193 | 0.0346 | 0.0010 | 0.0050 | 0.0019 | 0.0014 | 0.0473 | 0.0900 | 0.0055 | 0.0073 | 0.0126 | 0.0082 |
AGTO-ELM | 0.0200 | 0.0196 | 0.0006 | 0.0065 | 0.0011 | 0.0007 | 0.0615 | 0.0784 | 0.0043 | 0.0115 | 0.0108 | 0.0083 |
DMOA-ELM | 0.0143 | 0.0107 | 0.0003 | 0.0079 | 0.0006 | 0.0006 | 0.0264 | 0.0572 | 0.0040 | 0.0057 | 0.0078 | 0.0074 |
HGS-ELM | 0.0218 | 0.0265 | 0.0008 | 0.0104 | 0.0016 | 0.0012 | 0.0369 | 0.0657 | 0.0041 | 0.0109 | 0.0086 | 0.0123 |
WOA-ELM | 0.0213 | 0.0447 | 0.0013 | 0.0055 | 0.0026 | 0.0018 | 0.0605 | 0.0944 | 0.0068 | 0.0120 | 0.0127 | 0.0106 |
NRO-ELM | 0.0140 | 0.0256 | 0.0007 | 0.0044 | 0.0014 | 0.0011 | 0.0355 | 0.0733 | 0.0055 | 0.0066 | 0.0101 | 0.0078 |
HGSO-ELM | 0.0218 | 0.0178 | 0.0006 | 0.0090 | 0.0012 | 0.0014 | 0.0680 | 0.0709 | 0.0042 | 0.0136 | 0.0098 | 0.0107 |
ASO-ELM | 0.0229 | 0.0233 | 0.0008 | 0.0087 | 0.0016 | 0.0024 | 0.0816 | 0.1040 | 0.0057 | 0.0147 | 0.0150 | 0.0144 |
GSKA-ELM | 0.0149 | 0.0193 | 0.0006 | 0.0054 | 0.0012 | 0.0009 | 0.0536 | 0.0719 | 0.0043 | 0.0182 | 0.0098 | 0.0142 |
LCO-ELM | 0.0249 | 0.0352 | 0.0012 | 0.0064 | 0.0022 | 0.0015 | 0.0406 | 0.0719 | 0.0053 | 0.0109 | 0.0097 | 0.0078 |
SMA-ELM | 0.0221 | 0.0063 | 0.0002 | 0.0114 | 0.0004 | 0.0003 | 0.0476 | 0.0673 | 0.0036 | 0.0135 | 0.0089 | 0.0135 |
SOA-ELM | 0.0110 | 0.0229 | 0.0008 | 0.0048 | 0.0015 | 0.0009 | 0.0365 | 0.0658 | 0.0040 | 0.0099 | 0.0090 | 0.0120 |
TSA-ELM | 0.0251 | 0.0419 | 0.0013 | 0.0083 | 0.0025 | 0.0018 | 0.0553 | 0.0712 | 0.0041 | 0.0098 | 0.0096 | 0.0088 |
AEO-ELM | 0.0199 | 0.0259 | 0.0008 | 0.0064 | 0.0016 | 0.0013 | 0.0668 | 0.0840 | 0.0032 | 0.0156 | 0.0116 | 0.0108 |
HS-ELM | 0.0175 | 0.0392 | 0.0011 | 0.0039 | 0.0022 | 0.0016 | 0.0548 | 0.1139 | 0.0068 | 0.0076 | 0.0170 | 0.0107 |
GBO-ELM | 0.0069 | 0.0115 | 0.0003 | 0.0030 | 0.0006 | 0.0005 | 0.0434 | 0.0707 | 0.0043 | 0.0063 | 0.0095 | 0.0057 |
PSS-ELM | 0.0216 | 0.0148 | 0.0005 | 0.0090 | 0.0009 | 0.0010 | 0.0627 | 0.0754 | 0.0045 | 0.0181 | 0.0101 | 0.0108 |
INFO-ELM | 0.0199 | 0.0401 | 0.0011 | 0.0037 | 0.0022 | 0.0016 | 0.0285 | 0.0659 | 0.0048 | 0.0063 | 0.0092 | 0.0070 |
RUN-ELM | 0.0096 | 0.0154 | 0.0004 | 0.0027 | 0.0008 | 0.0006 | 0.0433 | 0.1010 | 0.0038 | 0.0052 | 0.0140 | 0.0112 |