Fig. 1. Flow chart of K-means clustering algorithm^[22]

Fig. 2. Experimental setup diagram

Fig. 3. (a) 1531 nm mode-locked spectra of the fundamental frequency mode-locked soliton; (b) Oscilloscope curves at 1531 nm mode-locked; (c) Autocorrelation spectra at 1531 nm mode-locked

Fig. 4. Distribution of clamping points

Fig. 5. Contour coefficients at different K values

Fig. 6. K-means clustering distribution diagram

Fig. 7. Time length of finding 100 fundamental frequency mode locking state points

Fig. 8. The second group of experimental results. (a) K-means cluster distribution diagram; (b) Find the duration of 100 fundamental frequency mode-locked state points