 "fig:")\ ![Plot of the estimated trace norms along the path of tuning parameter $\lambda$ (on the log-scale) in the SDP relaxed regularized diffusion $K$-means clustering method  on the synthetic data in Figure \[fig:kmeans\_demo\]. The clustered data are shown for estimated number of clusters 0 (under), 0 (correct), 0 (over).[]{data-label="fig:diffusion_kmeans_lambda_demo"}](diffusion_kmeans_adaptive_