Table 4 GEP models implemented for formulation of Ω6.

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

17

 + 

12

10

6

0.7214

0.7639

0.7316

0.6161

2

17

 × 

12

10

6

0.7441

0.7421

0.7648

0.6434

3

18

 + 

15

12

8

0.6841

0.6517

0.7666

0.7074

4

18

 × 

15

12

8

0.5303

0.4811

0.8629

0.7512

5

19

 + 

20

14

8

0.8995

0.7311

0.6500

0.7092

6

19

 × 

20

14

8

0.7740

0.6840

0.7486

0.6618

7

20

 + 

20

18

6

0.5048

0.9539

0.8707

0.8019

8

20

 + 

30

14

8

0.5362

0.7348

0.7746

0.6956

9

20

 × 

40

18

6

0.4899

0.4570

0.8402

0.8592

10

21

 + 

35

14

6

0.4706

0.4207

0.8241

0.8270

11

21

 + 

40

15

8

0.4815

0.8040

0.8308

0.8258

12

22

 + 

40

16

8

0.4936

0.4143

0.8684

0.8605

13

22

 × 

40

16

8

0.4466

0.5530

0.8903

0.8600

14

23

 + 

45

18

6

0.4323

0.4032

0.8915

0.8672

15

23

 + 

45

20

8

0.4259

0.5834

0.8375

0.8335

16

24

 + 

45

22

10

0.3558

0.3287

0.9174

0.8979

17

25

 × 

45

22

12

0.3158

0.5763

0.9208

0.9158

18

19

 + 

30

10

12

0.2356

0.2042

0.9686

0.9473

19

19

 + 

35

10

12

0.2124

0.3387

0.9618

0.9080

20

19

 × 

40

10

12

0.4145

0.3464

0.8674

0.9139

21

20

 + 

40

12

12

0.3221

0.6439

0.9097

0.9119

22

20

 + 

45

10

12

0.4234

0.3975

0.8918

0.9079

23

20

 × 

45

12

12

0.4262

0.4905

0.8786

0.8983

24

21

 + 

30

12

14

0.6265

0.7527

0.8515

0.8249

25

21

 + 

30

14

14

0.7688

0.3642

0.8756

0.8844

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