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Table 6 Comparison w.r.t. (\(R^2>0.999\)) solution accuracy (%)

From: RILS-ROLS: robust symbolic regression via iterated local search and ordinary least squares

Algorithm

All

Feynman

Strogatz

 

Noise

Noise

Noise

 

0

0.001

0.01

0.1

0

0.001

0.01

0.1

0

0.001

0.01

0.1

MRGP

92.69

91.54

88.46

1.92

93.1

92.24

91.81

2.16

89.29

85.71

60.71

0

Operon

86.92

86.54

86.54

73.46

86.21

85.78

85.78

82.33

92.86

92.86

92.86

0

RILS-ROLS

80

81.15

80

21.92

78.45

79.74

78.45

19.4

92.86

92.86

92.86

42.86

SBPGP

74.23

74.23

75

53.85

73.71

75.43

75

60.34

78.57

64.29

75

0

AI-Feynman

73.83

73.64

67.86

10.16

78.51

77.39

71.43

10.53

35.71

42.86

39.29

7.14

GPGOMEA

71.54

70.38

73.46

67.69

71.55

70.26

73.71

71.98

71.43

71.43

71.43

32.14

AFP-FE

55.77

50.38

50.38

50

59.05

52.16

52.59

53.45

28.57

35.71

32.14

21.43

EPLEX

44.23

45.38

52.31

46.92

46.98

47.84

56.03

51.72

21.43

25

21.43

7.14

AFP

42.69

41.92

40.38

40.77

44.83

44.4

42.67

43.97

25

21.43

21.43

14.29

FEAT

40

43.08

40.77

13.46

39.66

42.24

40.52

13.36

42.86

50

42.86

14.29

gplearn

30

29.23

27.13

21.92

32.76

31.9

29.13

23.71

7.14

7.14

10.71

7.14

ITEA

26.92

26.92

26.92

25.77

27.59

27.59

27.59

26.72

21.43

21.43

21.43

17.86

DSR

23.85

24.62

25

25

25

25.86

26.29

26.29

14.29

14.29

14.29

14.29

BSR

11.92

10.77

11.92

6.92

10.78

10.34

12.07

7.76

21.43

14.29

10.71

0

FFX

0

0

2.69

17.69

0

0

2.59

19.83

0

0

3.57

0