Table 1 (a) Structural design of ANN applied to construct model (b) Central composite design of four independent parameters with experimental and predicted values of percentage yield.
(a) ANN specifications | |||||||
|---|---|---|---|---|---|---|---|
No of neurons in input layer | 4 | ||||||
No of neurons in hidden layer | 6 | ||||||
No of neurons in output layers | 1 | ||||||
Training error | 0.020893 | ||||||
Test error | 0.001040 | ||||||
Hidden activation | Exponential | ||||||
Output activation | Tanh | ||||||
No of neurons in input layer | 4 | ||||||
(b) Run no | Parameters* | Yield (%) | |||||
|---|---|---|---|---|---|---|---|
X1 (°C) | X2 | X3 (h) | X4 (w/v) | Experimental | RSM pred. | ANN pred. | |
1 | 35 | 6.4 | 6 | 10 | 27.30 | 25.92 | 26.99 |
2 | 45 | 6.4 | 4 | 20 | 26.60 | 27.24 | 27.24 |
3 | 45 | 6.4 | 5 | 20 | 29.20 | 28.06 | 28.73 |
4 | 45 | 6.4 | 6 | 10 | 25.90 | 26.47 | 25.10 |
5 | 35 | 6.1 | 6 | 20 | 23.40 | 24.03 | 23.52 |
6 | 35 | 6.8 | 6 | 20 | 27.30 | 26.10 | 27.01 |
7 | 25 | 6.4 | 4 | 10 | 27.20 | 27.12 | 27.21 |
8 | 25 | 6.4 | 5 | 10 | 27.60 | 28.18 | 27.19 |
9 | 25 | 6.8 | 5 | 20 | 27.70 | 28.23 | 27.78 |
10 | 45 | 6.4 | 6 | 30 | 30.00 | 29.01 | 28.35 |
11 | 25 | 6.8 | 4 | 20 | 27.70 | 27.41 | 27.15 |
12 | 35 | 6.4 | 6 | 30 | 25.30 | 27.05 | 26.15 |
13 | 25 | 6.4 | 6 | 20 | 30.10 | 30.44 | 30.27 |
14 | 25 | 6.4 | 6 | 20 | 30.23 | 30.44 | 30.15 |
15 | 25 | 6.1 | 4 | 20 | 24.54 | 24.51 | 24.37 |
16 | 25 | 6.4 | 5 | 20 | 30.10 | 29.45 | 29.95 |
17 | 25 | 6.1 | 6 | 20 | 27.30 | 26.51 | 26.94 |
18 | 25 | 6.1 | 6 | 10 | 24.80 | 24.97 | 24.73 |
19 | 25 | 6.4 | 6 | 20 | 30.20 | 30.44 | 30.15 |
20 | 45 | 6.8 | 6 | 20 | 26.20 | 27.03 | 26.32 |
21 | 35 | 6.4 | 4 | 20 | 26.40 | 25.91 | 26.95 |
22 | 25 | 6.4 | 6 | 20 | 30.10 | 30.44 | 30.70 |
23 | 25 | 6.8 | 6 | 10 | 28.50 | 28.62 | 28.63 |
24 | 25 | 6.4 | 6 | 30 | 29.70 | 29.06 | 29.74 |
25 | 35 | 6.4 | 5 | 20 | 26.10 | 26.77 | 26.99 |
26 | 25 | 6.8 | 6 | 30 | 27.20 | 27.18 | 27.24 |
27 | 25 | 6.4 | 6 | 30 | 29.40 | 29.06 | 29.73 |
28 | 25 | 6.4 | 4 | 30 | 27.30 | 27.51 | 27.10 |
29 | 45 | 6.4 | 6 | 20 | 28.90 | 28.98 | 28.45 |