Table 6 Performance metrics for UQ models for uniform elongation and total elongation, given as average value ± standard deviation (in subscript).

From: Empirical validation of size effects in sub-sized tensile specimens for nuclear structural materials

Model

Uniform elongation

Total elongation

R2

RMSE ↓

Coverage (%) ↑

R2

RMSE ↓

Coverage (%) ↑

Quantile regression

0.872± 0.05

7.01± 2.3

70.6± 22.9

0.837± 0.13

8.1± 3.2

84.2± 9.8

Natural grad boosting

0.961± 0.02

3.89± 1.4

94.1± 5.3

0.839± 0.11

8.2± 2.8

90.5± 11.7

Gaussian process regression

0.909± 0.05

5.8± 1.6

91.8± 8.8

0.819± 0.11

8.8± 2.4

89.5± 6.9

Deep ensemble

0.866± 0.11

6.59± 2.8

33.5± 12.8

0.835± 0.09

8.5± 2.0

46.8± 4.2

MC dropout

0.882± 0.05

6.71± 1.8

42.7± 17.8

0.786± 0.10

9.8± 2.1

45.8± 9.9

Bayesian NNs—VarInf

0.885± 0.05

4.89± 1.3

88.3± 5.3

0.820± 0.10

8.7± 2.5

76.8± 9.9

Bayesian NNs—MCMC

0.928± 0.05

5.08± 2.0

92.9± 11.4

0.884± 0.07

7.1± 1.8

95.3± 4.2

  1. ↑ indicates higher values are better; ↓ indicates lower values are better.