Table 3 Performance of only BPNN model without the DE analytic solution.

From: Concrete crack opening forecasting by back propagation neural network and differential equation

Item

JB-1 with mean −21.67

JB-3 with mean −18.23

JB-7 with mean 0.95

Train

Test

Forecast

Train

Test

Forecast

Train

Test

Forecast

The ratio < 20% error

100%

99.5%

98.1%

100%

98.6%

97.5%

73.7%

75.9%

72.1%

Average absolute error (% mm)

0.013%

0.014%

0.014%

0.07%

0.075%

0.079%

14.99%

14.57%

14.68%

Minimum error (% mm)

0%

0.001%

0.003%

0%

0.02%

0.06%

0%

0%

0.02%

Maximum error (% mm)

0.060%

0.059%

0.073%

0.219%

0.354%

0.329%

85.45%

85.45%

84.86%

R2

0.78

0.772

0.759

0.619

0.604

0.591

0.856

0.887

0.853

Kling Gupta efficiency

0.838

0.834

0.816

0.700

0.695

0.698

0.897

0.892

0.885