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Table 2 The validation parameters of DFT and GRNN correction models (RMSE & MAE units: kcal/mol)

From: A machine learning correction for DFT non-covalent interactions based on the S22, S66 and X40 benchmark databases

 

RMSE

MAE

DFT

GRNN

DFT

GRNN

DFT

GRNN

q2

R2

q2

q 2cv

R2

M062X/6-31G*(vac) (DFT1)

1.66

0.50

1.34

0.35

0.87

0.98

0.98

0.95

0.99

M062X/6-31G*a (DFT2)

1.79

0.52

1.13

0.37

0.85

0.93

0.98

0.92

0.99

M062X/6-31G*b (DFT3)

1.43

0.46

1.00

0.34

0.90

0.96

0.98

0.93

0.99

M062X/6-31+G*a (DFT4)

2.59

0.54

1.45

0.33

0.68

0.89

0.98

0.96

0.99

ωB97XD/6-31G*(vac) (DFT5)

1.77

0.47

1.55

0.35

0.85

0.98

0.98

0.96

0.99

ωB97XD/6-31G*a (DFT6)

1.74

0.54

1.22

0.38

0.86

0.93

0.98

0.93

0.99

ωB97XD/6-31G*b (DFT7)

1.46

0.46

1.17

0.34

0.90

0.95

0.98

0.94

0.99

B3LYP/6-31G*a (DFT8)

3.98

0.62

3.01

0.46

0.25

0.80

0.97

0.92

0.98

B3LYP-D3/6-31G*a (DFT9)

1.89

0.56

1.18

0.40

0.83

0.93

0.98

0.92

0.99

PBE/6-31G*a (DFT10)

3.15

0.62

2.33

0.46

0.53

0.83

0.97

0.92

0.98

PBE-D3/6-31G*a (DFT11)

1.96

0.59

1.33

0.45

0.82

0.91

0.97

0.92

0.98

  1. The best results are shown in italics
  2. vacThe calculations are performed in vacuum
  3. aThe solvent is set as water (ε = 78.35)
  4. bThe solvent is set as pentylamine (ε = 4.20), which possess a similar dielectric constant as the protein environment (ε ~4.0)