Table 1.
Convergence rate in the optimization process for the hyperparameters K and PF of VMD using the GWO algorithm.
K | PF | Fitness | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Patient | Patient | Patient | |||||||||||
#1 | #2 | #3 | Mean ± SD | #1 | #2 | #3 | Mean ± SD | #1 | #2 | #3 | Mean ± SD | ||
Converge value | 2.35 | 2.7 | 2.8 | 2.6 ± 0.2 | 3178 | 2918 | 2315 | 2804 ± 443 | −9.8769 | −9.8156 | −9.7289 | −9.8071 ± 0.07 | |
Iteration | % | % | % | ||||||||||
1 | 143 | 117 | 133 | 131 ± 13 | 78 | 73 | 108 | 86 ± 19 | 99.9248 | 99.9940 | 99.7606 | 99.8361 ± 0.0829 | |
2 | 149 | 113 | 120 | 127 ± 19 | 82 | 80 | 120 | 94 ± 23 | 99.8326 | 99.8327 | 99.7607 | 99.8562 ± 0.0662 | |
3 | 143 | 111 | 104 | 119 ± 21 | 96 | 82 | 145 | 108 ± 33 | 99.8325 | 99.8346 | 99.8927 | 99.8946 ± 0.0610 | |
4 | 149 | 111 | 100 | 120 ± 26 | 96 | 82 | 138 | 106 ± 29 | 99.8346 | 99.8346 | 99.9371 | 99.9141 ± 0.0610 | |
5 | 143 | 111 | 96 | 117 ± 24 | 100 | 90 | 144 | 111 ± 29 | 99.9729 | 99.8346 | 99.9370 | 99.9200 ± 0.0708 | |
6 | 121 | 100 | 96 | 106 ± 14 | 91 | 89 | 133 | 104 ± 24 | 99.9902 | 99.9881 | 99.9370 | 99.9802 ± 0.0678 | |
7 | 121 | 100 | 93 | 105 ± 15 | 91 | 89 | 130 | 104 ± 23 | 99.9902 | 99.9881 | 99.9677 | 99.9820 ± 0.0155 | |
8 | 106 | 100 | 95 | 100 ± 6 | 97 | 95 | 125 | 106 ± 17 | 99.9939 | 99.9909 | 99.9733 | 99.9860 ± 0.0125 | |
9 | 100 | 100 | 93 | 98 ± 4 | 100 | 100 | 118 | 106 ± 10 | 100.000 | 100.000 | 99.9733 | 99.9945 ± 0.0111 | |
10 | 100 | 100 | 93 | 98 ± 4 | 100 | 100 | 112 | 104 ± 7 | 100.000 | 100.000 | 99.9910 | 99.9970 ± 0.0096 | |
11 | 100 | 100 | 98 | 99 ± 1 | 100 | 100 | 103 | 101 ± 2 | 100.000 | 100.000 | 99.9970 | 99.9990 ± 0.0052 | |
12 | 100 | 100 | 98 | 99 ± 1 | 100 | 100 | 103 | 101 ± 2 | 100.000 | 100.000 | 99.9976 | 99.9992 ± 0.0017 | |
13 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 101 | 100 ± 1 | 100.000 | 100.000 | 99.9986 | 99.9995 ± 0.0014 | |
14 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 101 | 100 ± 1 | 100.000 | 100.000 | 99.9988 | 99.9996 ± 0.0008 | |
15 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 101 | 100 ± 1 | 100.000 | 100.000 | 99.9988 | 99.9996 ± 0.0007 | |
16 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 101 | 100 ± 0 | 100.000 | 100.000 | 99.9989 | 99.9996 ± 0.0007 | |
17 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 101 | 100 ± 0 | 100.000 | 100.000 | 99.9990 | 99.9997 ± 0.0006 | |
18 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 100 | 100 ± 0 | 100.000 | 100.000 | 100.000 | 100.0000 ± 0.000 | |
19 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 100 | 100 ± 0 | 100.000 | 100.000 | 100.000 | 100.0000 ± 0.000 | |
20 | 100 | 100 | 100 | 100 ± 0 | 100 | 100 | 100 | 100 ± 0 | 100.000 | 100.000 | 100.000 | 100.0000 ± 0.000 |
Bold numbers indicate reaching the convergence value (=100%). K: decomposition number; PF: penalty factor; fitness: fitness value of VMD = the maximum envelope entropy of the IMF; SD: standard deviation.