Skip to main content
. 2024 Sep 4;24(17):5749. doi: 10.3390/s24175749

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.