621 lines
16 KiB
Plaintext
621 lines
16 KiB
Plaintext
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Model 1: TSK0-2MF (gbellmf × 2 per input)
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=====================================
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Initial rules: 32
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ANFIS info:
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Number of nodes: 92
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Number of linear parameters: 32
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Number of nonlinear parameters: 30
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Total number of parameters: 62
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Number of training data pairs: 902
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Number of checking data pairs: 301
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Number of fuzzy rules: 32
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Start training ANFIS ...
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1 4.25643 4.51914
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2 4.22775 4.48492
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3 4.1994 4.45216
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4 4.17142 4.42081
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Step size increases to 0.011000 after epoch 5.
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5 4.14386 4.39082
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6 4.11676 4.36215
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7 4.08753 4.33208
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8 4.05896 4.3035
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Step size increases to 0.012100 after epoch 9.
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9 4.0311 4.27637
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10 4.004 4.25063
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11 3.97511 4.22389
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12 3.94724 4.19874
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Step size increases to 0.013310 after epoch 13.
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13 3.92044 4.17515
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14 3.89473 4.15306
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15 3.86777 4.13049
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16 3.84221 4.10967
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Step size increases to 0.014641 after epoch 17.
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17 3.81806 4.09058
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18 3.79532 4.0732
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19 3.77194 4.05604
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20 3.75022 4.04091
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Step size increases to 0.016105 after epoch 21.
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21 3.73013 4.0278
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22 3.7116 4.0167
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23 3.69293 4.00682
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24 3.67596 3.99934
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Step size increases to 0.017716 after epoch 25.
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25 3.66054 3.99425
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26 3.64656 3.99151
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27 3.63269 3.99118
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28 3.62021 3.99352
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Step size increases to 0.019487 after epoch 29.
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29 3.60898 3.99839
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30 3.59883 4.00557
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31 3.58878 4.01587
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32 3.57974 4.02819
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Step size increases to 0.021436 after epoch 33.
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33 3.57161 4.04196
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34 3.56429 4.05654
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35 3.55707 4.07282
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36 3.55066 4.08823
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Step size increases to 0.023579 after epoch 37.
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37 3.54498 4.10185
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38 3.53995 4.1129
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39 3.53508 4.12181
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40 3.53083 4.12685
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Step size increases to 0.025937 after epoch 41.
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41 3.5271 4.12846
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42 3.52381 4.12733
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43 3.5206 4.12391
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44 3.51772 4.11867
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Step size increases to 0.028531 after epoch 45.
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45 3.51509 4.11214
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46 3.51267 4.10466
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47 3.51021 4.09579
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48 3.50794 4.08656
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Step size increases to 0.031384 after epoch 49.
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49 3.50585 4.07728
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50 3.50391 4.06815
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51 3.50193 4.05832
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52 3.50009 4.04887
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Step size increases to 0.034523 after epoch 53.
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53 3.49836 4.03931
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54 3.4968 4.03148
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55 3.49646 4.01735
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56 3.49577 4.01706
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Step size increases to 0.037975 after epoch 57.
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57 3.49528 4.00918
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58 3.4945 4.01098
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59 3.4945 4.0023
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60 3.49332 4.00347
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61 3.49319 3.99792
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62 3.49216 3.99805
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Step size increases to 0.041772 after epoch 63.
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63 3.49194 3.99353
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64 3.49123 3.99357
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65 3.49167 3.98955
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66 3.49062 3.98891
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67 3.49093 3.98663
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Step size decreases to 0.037595 after epoch 68.
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68 3.48995 3.98598
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69 3.49029 3.98279
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70 3.4883 3.98284
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71 3.48954 3.98056
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Step size decreases to 0.033836 after epoch 72.
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72 3.48769 3.98048
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73 3.48891 3.97664
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74 3.48635 3.97757
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75 3.4881 3.97462
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Step size decreases to 0.030452 after epoch 76.
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76 3.48584 3.97574
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77 3.48749 3.9711
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78 3.48473 3.97298
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79 3.4867 3.96937
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Step size decreases to 0.027407 after epoch 80.
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80 3.48431 3.97148
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81 3.48615 3.96648
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82 3.48339 3.96895
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83 3.48544 3.96508
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Step size decreases to 0.024666 after epoch 84.
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84 3.48307 3.96771
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85 3.48498 3.96281
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86 3.48233 3.96547
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87 3.48437 3.96168
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Step size decreases to 0.022200 after epoch 88.
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88 3.4821 3.96443
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89 3.484 3.95987
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90 3.48151 3.96249
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91 3.4835 3.95894
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Step size decreases to 0.019980 after epoch 92.
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92 3.48135 3.96161
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93 3.48319 3.95745
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94 3.4809 3.95993
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95 3.48275 3.95666
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Step size decreases to 0.017982 after epoch 96.
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96 3.48078 3.95917
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97 3.48248 3.95537
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98 3.48043 3.9577
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99 3.48207 3.95468
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Step size decreases to 0.016184 after epoch 100.
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100 3.48033 3.95705
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Designated epoch number reached. ANFIS training completed at epoch 100.
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Minimal training RMSE = 3.48033
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Minimal checking RMSE = 3.95468
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MSE : 16.9264
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RMSE: 4.11417
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R2 : 0.664677
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NMSE: 0.335323
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NDEI: 0.57907
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Model 2: TSK0-3MF (gbellmf × 3 per input)
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=====================================
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Initial rules: 243
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ANFIS info:
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Number of nodes: 524
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Number of linear parameters: 243
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Number of nonlinear parameters: 45
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Total number of parameters: 288
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Number of training data pairs: 902
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Number of checking data pairs: 301
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Number of fuzzy rules: 243
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Start training ANFIS ...
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1 3.48949 6.18916
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2 3.45915 6.06247
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3 3.41872 5.91346
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4 3.38236 5.73296
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Step size increases to 0.011000 after epoch 5.
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5 3.353 5.57846
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6 3.32197 5.47698
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7 3.28593 5.3751
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8 3.2483 5.26731
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Step size increases to 0.012100 after epoch 9.
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9 3.20873 5.1596
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10 3.16709 5.06056
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11 3.11912 4.97062
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12 3.07004 4.90448
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Step size increases to 0.013310 after epoch 13.
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13 3.02187 4.86429
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14 2.97737 4.85458
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15 2.93582 4.88936
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16 2.90427 4.98087
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Step size increases to 0.014641 after epoch 17.
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17 2.88219 5.12211
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18 2.86471 5.26311
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19 2.84624 5.36588
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20 2.82829 5.46658
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Step size increases to 0.016105 after epoch 21.
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21 2.81115 5.55392
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22 2.79487 5.67287
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23 2.77853 5.64686
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24 2.76872 6.11556
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25 2.77206 5.14558
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26 2.75702 6.19896
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27 2.7602 5.14994
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Step size decreases to 0.014495 after epoch 28.
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28 2.74638 6.24052
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29 2.75098 5.11992
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30 2.73409 6.17768
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31 2.74283 5.10258
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Step size decreases to 0.013045 after epoch 32.
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32 2.72821 6.17703
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33 2.73726 5.07044
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34 2.7204 6.07671
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35 2.73153 5.05552
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Step size decreases to 0.011741 after epoch 36.
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36 2.7168 6.06383
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37 2.7272 5.03036
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38 2.71115 5.95635
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39 2.72224 5.02069
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Step size decreases to 0.010567 after epoch 40.
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40 2.70844 5.94394
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41 2.71842 5.00057
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42 2.70399 5.83984
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43 2.71392 4.99542
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Step size decreases to 0.009510 after epoch 44.
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44 2.70177 5.83091
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45 2.71053 4.9791
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46 2.69812 5.73434
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47 2.70652 4.97696
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Step size decreases to 0.008559 after epoch 48.
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48 2.69623 5.72879
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49 2.70354 4.96362
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50 2.69316 5.64101
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51 2.70004 4.96338
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Step size decreases to 0.007703 after epoch 52.
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52 2.69153 5.63813
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53 2.69744 4.95251
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54 2.68891 5.55924
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55 2.69442 4.9536
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Step size decreases to 0.006933 after epoch 56.
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56 2.68746 5.55841
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57 2.69215 4.94479
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58 2.6852 5.48794
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59 2.68954 4.94684
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Step size decreases to 0.006239 after epoch 60.
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60 2.68391 5.48866
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61 2.68755 4.93971
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62 2.68193 5.42588
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63 2.68528 4.94243
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Step size decreases to 0.005616 after epoch 64.
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64 2.68076 5.42767
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65 2.68353 4.93659
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66 2.67901 5.37175
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67 2.68155 4.93972
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Step size decreases to 0.005054 after epoch 68.
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68 2.67793 5.37416
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69 2.68 4.93481
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70 2.67637 5.32424
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71 2.67826 4.93813
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Step size decreases to 0.004549 after epoch 72.
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72 2.67537 5.32691
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73 2.67687 4.93383
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74 2.67396 5.28218
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75 2.67533 4.93716
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Step size decreases to 0.004094 after epoch 76.
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76 2.67302 5.28479
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77 2.67407 4.93317
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78 2.67174 5.24452
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79 2.6727 4.93637
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Step size decreases to 0.003684 after epoch 80.
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80 2.67084 5.24682
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81 2.67156 4.93247
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82 2.66967 5.21037
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83 2.67031 4.93543
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Step size decreases to 0.003316 after epoch 84.
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84 2.66881 5.21218
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85 2.66927 4.93142
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86 2.66772 5.17901
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87 2.66813 4.93412
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Step size decreases to 0.002984 after epoch 88.
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88 2.66689 5.1802
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89 2.66716 4.92983
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90 2.66588 5.14986
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91 2.66611 4.93226
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Step size decreases to 0.002686 after epoch 92.
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92 2.66507 5.15035
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93 2.6652 4.92758
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94 2.66412 5.12247
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95 2.66422 4.92977
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Step size decreases to 0.002417 after epoch 96.
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96 2.66333 5.1222
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97 2.66335 4.92461
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98 2.66244 5.09648
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99 2.66243 4.92661
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100 2.66165 5.09539
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Designated epoch number reached. ANFIS training completed at epoch 100.
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Minimal training RMSE = 2.66165
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Minimal checking RMSE = 4.85458
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MSE : 17.1406
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RMSE: 4.14012
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R2 : 0.660434
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NMSE: 0.339566
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NDEI: 0.582723
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Model 3: TSK1-2MF (gbellmf × 2 per input)
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=====================================
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Initial rules: 32
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ANFIS info:
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Number of nodes: 92
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Number of linear parameters: 192
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Number of nonlinear parameters: 30
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Total number of parameters: 222
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Number of training data pairs: 902
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Number of checking data pairs: 301
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Number of fuzzy rules: 32
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Start training ANFIS ...
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1 2.85009 4.69235
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2 2.83691 4.61659
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3 2.82381 4.5385
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4 2.81077 4.45873
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Step size increases to 0.011000 after epoch 5.
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5 2.79775 4.37785
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6 2.78474 4.29631
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7 2.7704 4.2064
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8 2.756 4.11658
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Step size increases to 0.012100 after epoch 9.
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9 2.7415 4.02712
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10 2.72683 3.93818
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11 2.71042 3.84107
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12 2.69361 3.74462
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Step size increases to 0.013310 after epoch 13.
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13 2.67624 3.64883
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14 2.65807 3.5539
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15 2.63684 3.45151
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16 2.6138 3.35379
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Step size increases to 0.014641 after epoch 17.
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17 2.5883 3.2663
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18 2.55954 3.19899
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19 2.52297 3.16663
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20 2.47983 3.20424
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Step size increases to 0.016105 after epoch 21.
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21 2.42917 3.3412
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22 2.37416 3.59905
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23 2.34422 3.89625
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24 2.36179 3.60671
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25 2.33613 3.94345
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26 2.3545 3.59925
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Step size decreases to 0.014495 after epoch 27.
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27 2.32932 3.98109
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28 2.34864 3.58976
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29 2.31899 4.00715
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30 2.34073 3.59264
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Step size decreases to 0.013045 after epoch 31.
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31 2.3134 4.05635
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32 2.33536 3.58825
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33 2.30527 4.05997
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34 2.32785 3.59718
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Step size decreases to 0.011741 after epoch 35.
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35 2.30083 4.10646
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36 2.32309 3.59599
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37 2.29443 4.0886
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38 2.31615 3.60889
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Step size decreases to 0.010567 after epoch 39.
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39 2.29086 4.12772
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40 2.31186 3.61014
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41 2.2857 4.09768
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42 2.30547 3.62593
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Step size decreases to 0.009510 after epoch 43.
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43 2.28273 4.13163
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44 2.30157 3.62894
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45 2.27844 4.09721
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46 2.29579 3.64627
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Step size decreases to 0.008559 after epoch 47.
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47 2.27589 4.1275
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48 2.29224 3.65042
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49 2.27223 4.09275
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50 2.2871 3.6682
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Step size decreases to 0.007703 after epoch 51.
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51 2.27 4.11992
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52 2.28389 3.67307
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53 2.26682 4.08658
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54 2.27936 3.69061
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Step size decreases to 0.006933 after epoch 55.
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55 2.26483 4.11089
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56 2.27645 3.6959
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57 2.26204 4.07957
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58 2.27247 3.7128
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Step size decreases to 0.006239 after epoch 59.
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59 2.26024 4.10119
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60 2.26983 3.71823
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61 2.25776 4.07206
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62 2.26633 3.73423
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Step size decreases to 0.005616 after epoch 63.
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63 2.25611 4.09117
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64 2.26395 3.73959
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65 2.25389 4.06416
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66 2.26087 3.75453
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Step size decreases to 0.005054 after epoch 67.
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67 2.25236 4.08094
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68 2.25871 3.75961
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69 2.25036 4.0559
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70 2.25599 3.77339
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Step size decreases to 0.004549 after epoch 71.
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71 2.24893 4.07052
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72 2.25403 3.77802
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73 2.24711 4.04729
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74 2.25162 3.7906
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Step size decreases to 0.004094 after epoch 75.
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75 2.24576 4.05991
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76 2.24983 3.79463
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77 2.24409 4.03828
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78 2.24767 3.806
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Step size decreases to 0.003684 after epoch 79.
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79 2.2428 4.04906
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80 2.24604 3.80931
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81 2.24127 4.02885
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82 2.2441 3.81953
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Step size decreases to 0.003316 after epoch 83.
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83 2.24002 4.03794
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84 2.2426 3.82204
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85 2.2386 4.019
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86 2.24084 3.83118
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Step size decreases to 0.002984 after epoch 87.
|
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87 2.2374 4.02654
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88 2.23945 3.83283
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89 2.23608 4.00874
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90 2.23783 3.84101
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Step size decreases to 0.002686 after epoch 91.
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91 2.23491 4.01486
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92 2.23654 3.84179
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93 2.23367 3.99812
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94 2.23504 3.84916
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Step size decreases to 0.002417 after epoch 95.
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95 2.23253 4.00297
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96 2.23383 3.84907
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97 2.23136 3.98724
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98 2.23243 3.8558
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Step size decreases to 0.002176 after epoch 99.
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99 2.23025 3.99091
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100 2.23128 3.85487
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Designated epoch number reached. ANFIS training completed at epoch 100.
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Minimal training RMSE = 2.23025
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Minimal checking RMSE = 3.16663
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MSE : 12.8953
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RMSE: 3.591
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R2 : 0.744537
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NMSE: 0.255463
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NDEI: 0.505433
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Model 4: TSK1-3MF (gbellmf × 3 per input)
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=====================================
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Initial rules: 243
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|
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ANFIS info:
|
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Number of nodes: 524
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Number of linear parameters: 1458
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Number of nonlinear parameters: 45
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Total number of parameters: 1503
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Number of training data pairs: 902
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Number of checking data pairs: 301
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Number of fuzzy rules: 243
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Warning: Number of training data is smaller than number of modifiable parameters.
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> In anfis>trainFIS (line 203)
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In anfis>anfisWithOptionObject (line 109)
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In anfis (line 68)
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In scenario1 (line 66)
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Start training ANFIS ...
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1 2.18266 13.9384
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2 2.16266 14.302
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3 2.14218 14.771
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4 2.12092 15.3612
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Step size increases to 0.011000 after epoch 5.
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5 2.0985 16.0849
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6 2.07446 16.9408
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7 2.04563 17.9967
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8 2.01387 19.1103
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Step size increases to 0.012100 after epoch 9.
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9 1.97901 20.1856
|
||
10 1.94113 21.1309
|
||
11 1.89631 21.9439
|
||
12 1.84864 22.4876
|
||
Step size increases to 0.013310 after epoch 13.
|
||
13 1.79858 22.7812
|
||
14 1.74656 22.8849
|
||
15 1.68767 22.8664
|
||
16 1.62771 22.7684
|
||
Step size increases to 0.014641 after epoch 17.
|
||
17 1.56748 22.5829
|
||
18 1.50801 22.2279
|
||
19 1.44544 21.5009
|
||
20 1.38899 20.2966
|
||
Step size increases to 0.016105 after epoch 21.
|
||
21 1.34211 18.5912
|
||
22 1.30602 16.488
|
||
23 1.27558 14.1361
|
||
24 1.25531 13.5366
|
||
Step size increases to 0.017716 after epoch 25.
|
||
25 1.22833 11.9472
|
||
26 1.20732 11.145
|
||
27 1.17735 9.2776
|
||
28 1.15854 8.56663
|
||
Step size increases to 0.019487 after epoch 29.
|
||
29 1.12679 6.41978
|
||
30 1.12503 6.60586
|
||
31 1.09297 4.9284
|
||
32 1.10129 5.326
|
||
33 1.06957 4.68211
|
||
34 1.08124 4.74092
|
||
Step size decreases to 0.017538 after epoch 35.
|
||
35 1.05297 4.99736
|
||
36 1.0659 4.73721
|
||
37 1.03553 5.54205
|
||
38 1.04981 5.0522
|
||
Step size decreases to 0.015785 after epoch 39.
|
||
39 1.02529 6.28831
|
||
40 1.03688 5.44902
|
||
41 1.009 7.02564
|
||
42 1.02048 5.91912
|
||
Step size decreases to 0.014206 after epoch 43.
|
||
43 0.998267 8.03611
|
||
44 1.00675 6.31568
|
||
45 0.981053 8.87018
|
||
46 0.992248 6.70868
|
||
Step size decreases to 0.012786 after epoch 47.
|
||
47 0.973147 9.9055
|
||
48 0.983062 6.97916
|
||
49 0.958957 10.505
|
||
50 0.973683 7.26996
|
||
Step size decreases to 0.011507 after epoch 51.
|
||
51 0.954367 11.3465
|
||
52 0.967501 7.4856
|
||
53 0.942356 11.7345
|
||
54 0.960308 7.75761
|
||
Step size decreases to 0.010356 after epoch 55.
|
||
55 0.939278 12.4896
|
||
56 0.955315 7.97285
|
||
57 0.928728 12.7622
|
||
58 0.948976 8.26813
|
||
Step size decreases to 0.009321 after epoch 59.
|
||
59 0.926441 13.4981
|
||
60 0.944515 8.50717
|
||
61 0.91711 13.7127
|
||
62 0.938576 8.84703
|
||
Step size decreases to 0.008389 after epoch 63.
|
||
63 0.915346 14.4517
|
||
64 0.934437 9.12183
|
||
65 0.907143 14.6391
|
||
66 0.928786 9.51736
|
||
Step size decreases to 0.007550 after epoch 67.
|
||
67 0.905787 15.3775
|
||
68 0.924938 9.83222
|
||
69 0.898656 15.5517
|
||
70 0.919613 10.2861
|
||
Step size decreases to 0.006795 after epoch 71.
|
||
71 0.89764 16.2705
|
||
72 0.916096 10.6381
|
||
73 0.891518 16.4343
|
||
74 0.911178 11.1444
|
||
Step size decreases to 0.006115 after epoch 75.
|
||
75 0.890784 17.1082
|
||
76 0.908033 11.5239
|
||
77 0.885587 17.2586
|
||
78 0.903579 12.0686
|
||
Step size decreases to 0.005504 after epoch 79.
|
||
79 0.885076 17.8654
|
||
80 0.90081 12.4607
|
||
81 0.8807 17.9986
|
||
82 0.896814 13.0247
|
||
Step size decreases to 0.004953 after epoch 83.
|
||
83 0.880351 18.5253
|
||
84 0.894379 13.4131
|
||
85 0.876676 18.6391
|
||
86 0.890789 13.9761
|
||
Step size decreases to 0.004458 after epoch 87.
|
||
87 0.876438 19.0838
|
||
88 0.888624 14.3467
|
||
89 0.873343 19.1782
|
||
90 0.885379 14.8903
|
||
Step size decreases to 0.004012 after epoch 91.
|
||
91 0.873172 19.5467
|
||
92 0.883427 15.2336
|
||
93 0.870543 19.6236
|
||
94 0.880489 15.7433
|
||
Step size decreases to 0.003611 after epoch 95.
|
||
95 0.870406 19.9261
|
||
96 0.878716 16.0547
|
||
97 0.868147 19.9882
|
||
98 0.876081 16.5202
|
||
Step size decreases to 0.003250 after epoch 99.
|
||
99 0.868021 20.2362
|
||
100 0.874473 16.7991
|
||
|
||
Designated epoch number reached. ANFIS training completed at epoch 100.
|
||
|
||
Minimal training RMSE = 0.868021
|
||
Minimal checking RMSE = 4.68211
|
||
MSE : 30.4753
|
||
RMSE: 5.52045
|
||
R2 : 0.396266
|
||
NMSE: 0.603734
|
||
NDEI: 0.777003
|
||
|
||
Metrics Model_1 Model_2 Model_3 Model_4
|
||
_______ _______ _______ _______ _______
|
||
|
||
MSE 16.926 17.141 12.895 30.475
|
||
RMSE 4.1142 4.1401 3.591 5.5204
|
||
R2 0.66468 0.66043 0.74454 0.39627
|
||
NMSE 0.33532 0.33957 0.25546 0.60373
|
||
NDEI 0.57907 0.58272 0.50543 0.777
|