# Multi-Patch Time Series Transformer for Robust Bearing Fault Detection with Varying Noise
## Appendix A
### Experimental Results After Applying Harmonic Noise
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Model** & **SNR** & **Accuracy** & **Precision** & **Recall** & **F1** \\ \hline \multirow{4}{*}{LSTM} & 27 dB & 0.959 & 0.9609 & 0.9604 & 0.9607 \\ \cline{2-6}  & 17 dB & 0.8629 & 0.8768 & 0.8691 & 0.8727 \\ \cline{2-6}  & 11 dB & 0.8424 & 0.8571 & 0.849 & 0.853 \\ \cline{2-6}  & 3 dB & 0.786 & 0.8191 & 0.7972 & 0.8079 \\ \hline \multirow{4}{*}{GRU} & 27 dB & 0.9579 & 0.9608 & 0.9597 & 0.9602 \\ \cline{2-6}  & 17 dB & 0.869 & 0.8819 & 0.8743 & 0.878 \\ \cline{2-6}  & 11 dB & 0.8284 & 0.843 & 0.836 & 0.8394 \\ \cline{2-6}  & 3 dB & 0.787 & 0.82 & 0.796 & 0.8078 \\ \hline \multirow{4}{*}{FCN} & 27 dB & 0.9581 & 0.961 & 0.9596 & 0.9603 \\ \cline{2-6}  & 17 dB & 0.871 & 0.8809 & 0.875 & 0.8778 \\ \cline{2-6}  & 11 dB & 0.8374 & 0.8526 & 0.8452 & 0.8486 \\ \cline{2-6}  & 3 dB & 0.7835 & 0.8161 & 0.7928 & 0.8042 \\ \hline \multirow{4}{*}{ResNet} & 27 dB & 0.9548 & 0.9586 & 0.9562 & 0.9574 \\ \cline{2-6}  & 17 dB & 0.8693 & 0.8817 & 0.8744 & 0.878 \\ \cline{2-6}  & 11 dB & 0.8342 & 0.8519 & 0.8405 & 0.8458 \\ \cline{2-6}  & 3 dB & 0.7922 & 0.8238 & 0.8011 & 0.8123 \\ \hline \multirow{4}{*}{InceptionTime} & 27 dB & 0.9547 & 0.9583 & 0.9571 & 0.9577 \\ \cline{2-6}  & 17 dB & 0.8762 & 0.8855 & 0.8801 & 0.8827 \\ \cline{2-6}  & 11 dB & 0.8317 & 0.8512 & 0.8394 & 0.8452 \\ \cline{2-6}  & 3 dB & 0.7855 & 0.8191 & 0.7961 & 0.8073 \\ \hline \multirow{4}{*}{XceptionTime} & 27 dB & 0.9566 & 0.9595 & 0.958 & 0.9587 \\ \cline{2-6}  & 17 dB & 0.8682 & 0.8819 & 0.8725 & 0.877 \\ \cline{2-6}  & 11 dB & 0.8336 & 0.8487 & 0.8407 & 0.8447 \\ \cline{2-6}  & 3 dB & 0.7853 & 0.8185 & 0.795 & 0.8067 \\ \hline \multirow{4}{*}{XCM} & 27 dB & 0.9575 & 0.9601 & 0.959 & 0.9595 \\ \cline{2-6}  & 17 dB & 0.8704 & 0.8817 & 0.8768 & 0.8791 \\ \cline{2-6}  & 11 dB & 0.8344 & 0.8492 & 0.8417 & 0.8454 \\ \cline{2-6}  & 3 dB & 0.7973 & 0.8261 & 0.8055 & 0.8156 \\ \hline \multirow{4}{*}{LSTMAttention} & 27 dB & 0.9585 & 0.961 & 0.9595 & 0.9602 \\ \cline{2-6}  & 17 dB & 0.8713 & 0.8809 & 0.8759 & 0.8783 \\ \cline{2-6}  & 11 dB & 0.8368 & 0.8542 & 0.8449 & 0.8494 \\ \cline{2-6}  & 3 dB & 0.7865 & 0.8182 & 0.7946 & 0.8062 \\ \hline \multirow{4}{*}{GRUAttention} & 27 dB & 0.9593 & 0.9615 & 0.951 & 0.9612 \\ \cline{2-6}  & 17 dB & 0.8662 & 0.878 & 0.8716 & 0.8747 \\ \cline{2-6}  & 11 dB & 0.8388 & 0.8537 & 0.845 & 0.8493 \\ \cline{2-6}  & 3 dB & 0.7921 & 0.8257 & 0.8009 & 0.8131 \\ \hline \multirow{4}{*}{TSSequencer} & 27 dB & 0.9555 & 0.9584 & 0.9575 & 0.9579 \\ \cline{2-6}  & 17 dB & 0.8718 & 0.8834 & 0.87 & 0.8801 \\ \cline{2-6}  & 11 dB & 0.8317 & 0.8485 & 0.8394 & 0.8437 \\ \cline{2-6}  & 3 dB & 0.7953 & 0.8236 & 0.8038 & 0.8135 \\ \hline \multirow{4}{*}{PatchTST} & 27 dB & 0.9591 & 0.9621 & 0.9602 & 0.9611 \\ \cline{2-6}  & 17 dB & 0.873 & 0.8857 & 0.8786 & 0.8821 \\ \cline{2-6}  & 11 dB & 0.8418 & 0.8575 & 0.8478 & 0.8525 \\ \cline{2-6}  & 3 dB & 0.7955 & 0.8264 & 0.8072 & 0.8167 \\ \hline \hline \end{tabular}
\end{table} 
Table 15: Experimental results on PU dataset with harmonic noise.