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Table 5 Predicted optimum based on the ML performance and response surface design space

From: Machine learning algorithm and neural network architecture for optimization of pharmaceutical and drug manufacturing industrial effluent treatment using activated carbon derived from breadfruit (Treculia africana)

Contact time

Dosage

pH

Particle size

Actual observation

RSM

prediction

Predicted DT

Predicted RF

Minute

mg/L

 

mm

mg/L

mg/L

mg/L

mg/L

10

2.5

6

0.60

42

42.42

42.57

41.61

10

2.5

8

0.15

41

39.69

41.55

41.41

50

0.5

6

0.30

54

54.46

52.65

52.95

10

2.5

8

0.30

42

40.38

42.88

42.69

10

0.5

6

0.85

57

56.99

45.77

45.72

10

2.5

10

0.60

42

41.16

42.89

42.80

50

0.5

8

0.60

58

57.21

57.93

58.08

50

0.5

10

0.85

59

62.12

58.48

58.45

10

2.5

6

0.15

38

40.32

41.74

41.23

50

0.5

8

1.00

59

59.08

57.96

58.04

10

2.5

10

0.15

41

39.06

41.73

41.47

30

0.5

6

0.85

51

52.04

51.58

51.76

30

0.5

8

0.15

48

47.20

48.06

48.20

50

0.5

6

0.85

58

57.03

57.28

57.27

10

0.5

10

0.30

45

44.61

44.74

44.75

50

2.5

6

0.15

45

45.41

46.11

46.18

50

0.5

8

1.00

59

59.08

46.19

45.93

30

2.5

10

0.60

46

45.19

46.19

41.74

10

2.5

6

0.15

40

37.76

41.74

40.23

30

0.5

8

1.00

54

54.32

52.73

52.87

10

2.5

10

0.15

34

39.06

52.74

41.74

  1. ML predicted optimum, pH of 6, dosage of 2.5 mg/L, contact time of 10 min, and particle size of 0.15 mm.
  2. RF reliability metrics, Adj-R2 = 0.8532, MSE = 2.06, RMSE = 2.7, and Std dev =  ± 1.01.
  3. DT reliability metrics: Adj-R2 = 0.5000, MSE = 3.88, RMSE = 5.02, and Std dev. =  ± 2.05.
  4. ML predicted efficiency = 90%, residual TDS concentration ≤ 40 mg/L, initial TDS concentration of 450 mg/L.
  5. RSM validation metrics: Adj-R2 = 0.9585, MSE = 0.00388, RMSE = 0.00627, Std dev =  ± 0.54.
  6. RSM predicted efficiency = 91%, residual TDS concentration ≤ 38 mg/L. Initial TDS concentration of 450 mg/L