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. 2021 Aug 12;6(33):21499–21513. doi: 10.1021/acsomega.1c02376

Table 5. Statistical Error Analysis Comparison of the LSTM Model with the Previously Published Models.

rank model AAPRE (%) Emax (%) Emin (%) RMSE SD R
1 The proposed LSTM (2021) 8.422 45.409 0.040 12.20 0.088 0.9900
2 Velarde et al. (1997) 9.00 62.47 0.039 13.04 0.095 0.9724
3 Mehran et al. (2006) 9.75 63.86 0.035 13.60 0.095 0.9699
4 Lasater (1958) 11.07 66.08 0.016 15.31 0.106 0.9742
5 Standing (1947) 12.35 69.28 0.032 16.26 0.106 0.9753
6 Arabloo et al. (2014) 12.66 72.98 0.000 17.12 0.116 0.9589
7 Hemati and Kharrat (2007) 13.76 85.01 0.026 22.13 0.174 0.9741
8 Vazquez and Beggs (1980) 16.88 74.79 0.493 21.65 0.136 0.9767
9 Kartoatmodjo and Schmit (1991) 16.94 78.37 0.085 22.74 0.152 0.9722
10 Al-Shammasi (1999) 17.33 62.95 0.205 22.60 0.145 0.9663
11 Frashad et al. (1996) 18.23 74.23 0.042 24.30 0.161 0.9621
12 De Ghetto et al. (1994) 18.37 73.97 0.007 24.83 0.167 0.9720
13 Dindoruk and Christman (2001) 20.89 77.83 0.432 25.81 0.152 0.9369
14 Glaso (1980) 23.02 79.52 0.281 27.70 0.154 0.9701
15 Mazandarani and Asghari (2007) 23.91 120.93 0.127 34.19 0.245 0.9462
16 Almehaideb (1997) 26.15 234.92 0.037 44.18 0.357 0.9482
17 Macary and El-Batanoney (1993) 31.20 149.75 0.111 42.62 0.291 0.9499
18 Khamechi et al. (2009) 31.24 97.52 0.059 37.27 0.204 0.9652
19 Bolodazadeh et al. (2006) 40.42 434.20 0.175 84.69 0.746 0.9694
20 Sharrad and Abd-Alrahman (2019) 45.93 72.46 0.346 47.96 0.139 0.8929
21 Al-Marhoun (1988) 54.06 79.22 27.176 54.40 0.148 0.9538
22 Petrosky and Farshed (1993) 76.59 784.59 0.295 159.87 1.406 0.9703