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1190                                   摩擦学学报(中英文)                                        第 45 卷


                                                表 13    结果输出部分网络层参数
                                      Table 13    Results output some network layer parameters
                            Network layer                     Parameter setting              Activate
                             Deep series 5                       4 inputs                14(S)×14(S)×512(C)
                         Maximum pooling layer              Stride [2, 2], fill [0, 0, 0]  5(S)×5(S)×512(C)
                               Relu                                −                      5(S)×5(S)×512(C)
                         Batch normalized layers                   −                      5(S)×5(S)×512(C)
                   Two-dimensional global mean pooling layer       −                      1(S)×1(S)×512(C)
                             Dropout layer                      40% discard               1(S)×1(S)×512(C)
                          Fully connected layer                    −                       1(S)×1(S)×1(C)
                          Regression output layer             Mean-squared-error           1(S)×1(S)×1(C)



                    表 14    IncepRegCNN神经网络训练参数
                Table 14    Training parameters of IncepRegCNN
                             neural network
                      Parameters           Related Settings
                                                                    1.3%       1.8%       2.2%       2.9%
                       Solver                 Adam
                   Maximum iterations          50
                     Small lot size            50
                   Initial learning rate      0.001
                Learning rate reduction factor  0.010
                                                                    2.9%       3.2%       3.6%       3.8%
                Learning rate reduction stage  5
                  Solution environment        GPU
                 Model verification mode  50% cross verification


                         表 15    模型评价指标对比                           3.8%       4.0%       4.1%       4.3%
               Table 15    Comparison of model evaluation indexes

                   Neural network model  RMSE   MAE    R 2
                 BP regression neural network  8.6E-3  7.3E-3  0.81
                PSO-BP regression neural network  8.0E-3  6.1E-3  0.83
                                                                    4.4%       4.6%       4.8%       5.1%
              IncepRegCNN regression neural network  3.9E-3  3.0E-3  0.95

                b. 经主成分分析方法处理后,损伤信号15种特征
            值降低至7种主成分且累计贡献率为99.19%,主成分分                             5.2%       5.8%       7.1%       7.4%
            析方法具有良好的信号降维效果.
                                                                             Fig. 15    Sample test set
                c. 基于CNN网络Inception架构构建的回归神经网                                 图 15    测试集样本

                             8

                             7 6
                          Percentage loss of cross-  sectional area/%  5 4 3








                             2
                                      Actual value
                                      Predicted value
                             1
                                0     2     4     6     8     10    12    14    16    18    20
                                                     Test set sample number
                                        Fig. 16    Results of IncepRegCNN test set identification
                                              图 16    IncepRegCNN测试集识别结果
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