Table 3 GEP models implemented for formulation of Ω4.

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

19

 + 

25

12

3

0.7013

0.5976

0.8368

0.7524

2

19

 + 

30

12

3

0.4235

0.5940

0.9422

0.7829

3

19

 × 

30

12

3

0.4214

0.6268

0.9409

0.7384

4

20

 + 

35

13

5

0.3754

0.4733

0.9551

0.8799

5

20

 × 

35

13

5

0.4765

0.4854

0.9311

0.7762

6

20

 + 

40

18

6

0.4127

0.3867

0.9400

0.9106

7

20

 × 

40

18

6

0.4424

0.3332

0.9410

0.8974

8

21

 + 

40

15

8

0.2987

0.3149

0.9722

0.9274

9

21

 × 

40

18

8

0.4016

0.7037

0.9029

0.8937

10

21

 + 

40

16

8

0.2594

0.4838

0.9466

0.8854

11

21

 × 

40

16

8

0.3291

0.5355

0.9363

0.9121

12

22

 + 

41

15

8

0.3785

0.5857

0.9098

0.7240

13

22

 + 

42

15

8

0.3390

0.5075

0.9380

0.8097

14

22

 + 

43

15

9

0.3328

0.5275

0.9324

0.7886

15

22

 × 

43

15

9

0.3780

0.4736

0.9028

0.8875

16

23

 + 

44

15

8

0.3687

0.4194

0.8760

0.8888

17

23

 × 

44

15

8

0.3081

0.5025

0.9007

0.8217

18

23

 + 

45

16

9

0.4271

0.3242

0.8462

0.8869

19

23

 × 

45

16

9

0.3756

0.4332

0.8958

0.8129

20

24

 + 

40

18

8

0.4144

0.3766

0.8710

0.8160

21

24

 × 

40

18

8

0.3288

0.5072

0.9079

0.7888

22

24

 + 

40

20

10

0.7568

1.0106

0.6791

0.7755

23

24

 × 

40

20

10

0.3622

0.5174

0.8937

0.8546

24

25

 + 

40

22

10

0.3697

0.5136

0.9172

0.7028

25

25

 × 

40

22

10

0.3509

0.3115

0.9114

0.8837

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