Table 1 Statistics of real and synthetic data

From: Advancing LightGBM with data augmentation for predicting the residual strength of corroded pipelines

Parameter

Symbol

Unit

Data type

Min

Max

Mean

Std

Pipe diameter

D

mm

Real

41.92

2286.00

812.74

350.14

TVAE

63.74

2286.00

789.10

341.82

CopulaGAN

41.92

2286.00

828.90

345.57

CTGAN

41.92

2286.00

833.32

340.22

Wall thickness

t

mm

Real

2.73

25.40

14.74

6.03

TVAE

2.73

23.41

14.61

6.07

CopulaGAN

2.73

25.40

14.95

5.88

CTGAN

2.73

23.77

14.58

6.07

Yield strength

\({\sigma }_{y}\)

MPa

Real

262.00

802.00

472.71

83.70

TVAE

262.00

802.00

470.86

78.48

CopulaGAN

262.00

802.00

475.29

82.27

CTGAN

262.00

802.00

474.85

82.71

Ultimate tensile strength

\({\sigma }_{u}\)

MPa

Real

392.00

891.00

620.48

93.30

TVAE

392.00

891.00

618.32

88.29

CopulaGAN

392.00

891.00

623.36

91.64

CTGAN

392.00

891.00

622.80

92.17

Elastic modulus

E

MPa

Real

200,000.00

210,700.00

206,376.21

2242.59

TVAE

200,000.00

210,700.00

206,348.61

2237.49

CopulaGAN

200,000.00

210,700.00

206,396.78

2193.24

CTGAN

200,000.00

210,700.00

206,440.15

2198.28

Defect depth

d

mm

Real

0.00

15.41

5.61

3.06

TVAE

0.00

15.41

5.29

2.69

CopulaGAN

0.86

15.41

4.80

2.68

CTGAN

0.00

15.41

6.06

3.31

Defect length

l

mm

Real

0.00

5000.00

486.81

795.95

TVAE

0.00

5000.00

582.38

813.23

CopulaGAN

18.36

5000.00

400.17

635.95

CTGAN

0.00

5000.00

360.64

579.90

Defect width

w

mm

Real

0.00

679.80

124.31

67.75

TVAE

0.66

679.80

120.61

66.53

CopulaGAN

0.00

491.58

122.08

62.74

CTGAN

4.53

609.58

127.27

64.12

Residual strength

Pb

MPa

Real

1.60

57.33

18.11

7.17

TVAE

1.99

46.16

18.44

6.40

CopulaGAN

1.90

55.49

19.52

6.87

CTGAN

1.55

52.53

17.73

6.76