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Liu et al. Intell Robot 2023;3(2):131-43  I http://dx.doi.org/10.20517/ir.2023.07   Page 137

                                Table 2. The accuracy of different domain adaptation methods in CWRU datasets(%)

                    Method   No-TL    AdaBN    MKMMD       CORAL     JMMD       DA      CDA      OURS
                    Task 0-1  98.77    99.68     100        98.38     99.68    99.35     100      100
                   Task 0-2  96.49     99.48     96.43      100       100      99.03    99.68     100
                   Task 0-3  94.43     98.38     92.88      100       99.03    99.35    92.56    99.68
                   Task 1-0   97.55    95.40     98.08      98.85     100      99.23    97.32     100
                    Task 1-2  98.70    99.87     100        98.35     100      99.03     100      100
                    Task 1-3  94.82    99.03     98.71      99.68     100      99.68     100      100
                   Task 2-0  96.02     94.64     98.47      96.55     97.32    98.47    95.79    99.23
                    Task 2-1  98.18    99.29     98.05      97.08     100      99.03    96.43     100
                   Task 2-3  98.77     99.22     100        99.35     100      99.03    99.68     100
                   Task 3-0   87.82    90.04     84.67      99.23     98.08    95.79    97.70    98.85
                    Task 3-1  88.56    93.18     92.86      99.35     98.38    90.26    95.45     100
                   Task 3-2  87.98     95.32     96.10      100       99.68    97.40    98.70     100


               to introducing two learnable weight matrices,    1 and    2, to unify    and    into the same dimension and add
               them together to represent the joint distribution of features and labels.



               4. EXPERIMENTAL VERIFICATION
               In this section, the proposed semi-supervised joint adaptation transfer network with adversarial learning is
               evaluated by examining vibration signal data from different rotary machine types, such as motor bearings,
               wind turbine bearings, and gearbox bearings and gears. The three datasets were used to evaluate the diag-
               nostic capability of our method under different loads, speeds, and mixed fault-type scenarios. We conducted
               comparative experiments across multiple tasks using six existing transfer methods and analyzed the diagnostic
               effectiveness of no migration. We then demonstrate that our proposed semi-supervised method exhibits good
               diagnostic capability. This plays a crucial role in situations where obtaining fault data is difficult.


               4.1. Case 1: CWRU bearing datasets under different loads
               4.1.1. Data description
               In this case, the bearing dataset is from the CWRU laboratory [25] . The experimental setup mainly consists of a
               dependent motor, a torque sensor/encoder, and a load motor. The bearing dataset is collected at four loads (0,
               1, 2, and 3 HP). Single point faults are arranged on the bearings using electrical discharge machining (EDM)
               to simulate inner race faults (IF), rolling element faults (RF), and outer race faults (OF). Twelve transfer tasks
               are designed by migrating between the four load states. In addition, 1000 samples of length 1024 are provided
               for each data type. The sampling rate for our task is selected as 12 kHz. To obtain the diagnostic model, 80%
               of the data is used, while 20% is used to verify its validity.


               A dataset of bearings with variable load conditions from the CWRU laboratory is applied to illustrate that
               the model could accurately classify fault types. To assess the diagnostic capability of the model, comparative
               tests with some commonly used domain adaptation algorithms such as MKMMD, CORAL, JMMD, domain
               adversarial (DA), and CDA are performed. In our article, average accuracy is a key indicator to evaluate the
               diagnosis results of different methods.


               4.1.2. Experimental results and analysis
               ThecomparativeresultsoftheeightdifferentmethodsonthebearingdatasetareshowninTable2. Ourmethod
               is still the best performer among the eight methods on this dataset, with an average accuracy of 100% for 9
               out of the 12 migration tasks. Some other domain adaptation methods, including JMMD, have also achieved
               positive results, probably because this dataset is relatively simple and the differences in the distribution are
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