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Fig 1.

Methodology flowchart of the research.

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Fig 2.

Handy specimens and microscopic images of four tested rocks as representative samples.

(Note: SC: Sparry calcite, M: Micrite, C: Cavity, V: Vein, F: Fossil).

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Table 1.

Engineering properties of the rocks.

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Fig 3.

Distribution curves and histograms of the rock properties in the database.

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Fig 4.

Pearson’s correlation coefficient for data.

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Table 2.

Descriptive statistics of data set.

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Fig 5.

Training phase of the stacking model.

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Fig 6.

Predictions process performed by a model in the first level of the stacking ensemble.

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Fig 7.

Grid search with 3-fold cross validation.

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Fig 8.

Pseudocode of building models in the stacking ensemble.

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Table 3.

Parameter setup for each model.

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Fig 9.

Effects of the number of neurons in hidden layer and the solver of weight optimization in the MLP on MSE of predicting a) UCS, and b) E.

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Fig 10.

Effects of parameters of RF on MSE of forecasting a) UCS, and b) E.

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Fig 11.

Effect of parameters of the SVR on MSE of predicting a) UCS, and b) E.

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Fig 12.

Effects of parameters of the XGBoost on MSE of predicting a) UCS, and b) E.

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Fig 13.

Effects of parameters of a) SVR, and b) MLP as the meta-learner for predicting the UCS, and E, respectively.

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Table 4.

Performance results for predicting the UCS (MPa) in the testing phase.

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Table 5.

Performance results for predicting the E (GPa) in the testing phase.

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Fig 14.

Measured and predicted UCS (MPa) for the rocks by the XGBoost, MLP, SVR, RF and stacking ensemble in the a) training phase and b) testing phase.

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Fig 15.

Measured and predicted E (GPa) for the rocks by the XGBoost, MLP, SVR, RF and stacking ensemble in the a) training phase and b) testing phase.

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Fig 16.

Scatter plots of the output of UCS for the a) XGBoost, b) MLP, c) SVR, d) RF, and e) Stacking Ensemble.

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Fig 17.

Scatter plots of the output of E for the a) XGBoost, b) MLP, c) SVR, d) RF, and e) Stacking Ensemble.

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Table 6.

Training time of various models.

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Fig 18.

RSE of input variables on the a) UCS (MPa), and b) E (GPa).

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