2021
DOI: 10.1016/j.jrmge.2021.06.015
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Hybrid ensemble soft computing approach for predicting penetration rate of tunnel boring machine in a rock environment

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Cited by 42 publications
(14 citation statements)
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“…It is important to note that, right after model development, various performance metrics including Adj.R 2 , NS, PI, R 2 , RMSE, RSR, VAF, and WI, were used to evaluate hybrid LSSVMs. Note that these indices are frequently used [ 94 , 95 , 96 , 97 , 98 , 99 , 100 , 101 , 102 , 103 , 104 , 105 , 106 , 107 , 108 , 109 , 110 , 111 , 112 , 113 , 114 , 115 , 116 ] to evaluate the generalization capabilities of any prediction model from a variety of perspectives, including correlation accuracy, related error, variance, and so on. The expressions of these indices can be given as follows: where p and represent the total number of input parameters and observations, respectively; …”
Section: Resultsmentioning
confidence: 99%
“…It is important to note that, right after model development, various performance metrics including Adj.R 2 , NS, PI, R 2 , RMSE, RSR, VAF, and WI, were used to evaluate hybrid LSSVMs. Note that these indices are frequently used [ 94 , 95 , 96 , 97 , 98 , 99 , 100 , 101 , 102 , 103 , 104 , 105 , 106 , 107 , 108 , 109 , 110 , 111 , 112 , 113 , 114 , 115 , 116 ] to evaluate the generalization capabilities of any prediction model from a variety of perspectives, including correlation accuracy, related error, variance, and so on. The expressions of these indices can be given as follows: where p and represent the total number of input parameters and observations, respectively; …”
Section: Resultsmentioning
confidence: 99%
“…The tansigmoid function provided the optimum outcomes. Based on the previous literature [60][61][62][63][64], correlation coefficient (R), mean absolute error (MAE), and root mean square error (RMSE) was used for statistical evaluation of the ANN model.…”
Section: Artificial Neural Network Modellingmentioning
confidence: 99%
“…The developed ANN and GEP models were evaluated using statistical indices, i.e., the values of R, MAE, and RMSE, provided in Figure 8, in accordance with [60][61][62]64,[67][68][69][70][71][72][73][74]. The R values of 0.999 and 0.994 were observed for training and validation data, respectively, for the ANN model (Figure 8a), whereas, for the GEP model, these values were noticed as 0.981 and 0.985 (Figure 8b).…”
Section: Performance Of the Modelsmentioning
confidence: 99%
“…Eight different performance indices (Equations (3)–(10)), namely the determination coefficient (R 2 ), the performance index (PI), the variance account factor (VAF), Willmott’s index of agreement (WI), the root mean square error (RMSE), the mean absolute error (MAE), the RMSE observation standard deviation ratio (RSR) and the weighted mean absolute percentage error (WMAPE), were determined to evaluate the performance of the developed models [ 38 , 44 , 117 , 118 , 119 , 120 , 121 , 122 , 123 , 124 , 125 , 126 , 127 , 128 , 129 , 130 , 131 , 132 , 133 ]. For a flawless prediction model, the values of these indices should be identical to their ideal values, as shown in Table 2 .…”
Section: Data Processing and Analysismentioning
confidence: 99%