Table 2 GEP models implemented for formulation of Ω2.

From: Prediction of optical properties of rare-earth doped phosphate glasses using gene expression programming

 

GEP parameters

Results

No.

No. of test datasets

Linking function

No. of chromosomes

Head size

Genes' number

RMSE for train datasets

RMSE for test datasets

R2 for train datasets

R2 for test datasets

1

16

 + 

12

10

3

1.6537

1.5704

0.7334

0.7510

2

16

 × 

12

10

3

1.0423

7.2033

0.8943

0.4803

3

17

 + 

16

12

5

1.2837

2.9813

0.8495

0.5826

4

17

 × 

16

12

5

0.6100

2.7332

0.9634

0.3943

5

18

 + 

20

14

6

1.0736

1.6420

0.8987

0.7538

6

18

 + 

20

14

7

0.9494

2.3725

0.9114

0.6582

7

18

 × 

20

14

7

1.6790

2.0624

0.7379

0.6308

8

19

 + 

26

16

4

1.1151

2.2205

0.8835

0.5639

9

19

 + 

26

16

6

1.2882

1.7167

0.8369

0.7425

10

19

 + 

32

16

8

1.0141

4.0280

0.9022

0.5386

11

19

 × 

26

16

6

0.9926

3.2393

0.9234

0.4492

12

19

 × 

32

16

8

1.3855

1.7350

0.8096

0.7374

13

20

 + 

36

18

6

0.8760

0.9665

0.9152

0.9078

14

20

 + 

40

18

6

0.6549

0.6849

0.9618

0.9507

15

20

 × 

36

18

6

0.8287

1.1516

0.9256

0.9076

16

20

 × 

40

18

6

1.0576

0.7232

0.9093

0.9478

17

21

 + 

44

20

8

1.0122

0.8581

0.9009

0.9269

18

21

 + 

48

22

8

0.7930

0.8737

0.9312

0.9375

19

21

 × 

48

22

8

0.9149

1.2908

0.9468

0.8372

20

22

 + 

40

18

6

0.6948

0.7106

0.9479

0.9499

21

22

 + 

44

20

8

0.8947

1.7590

0.9107

0.7040

22

22

 × 

44

20

8

1.0840

1.6828

0.8133

0.6727

23

23

 + 

40

18

6

1.1041

1.8122

0.8633

0.6846

24

23

 × 

40

18

6

1.4955

1.9729

0.7415

0.6232

25

24

 + 

40

18

6

1.9677

2.1566

0.6434

0.5638

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