We proposed a diffusion-based Aggregated Heat Kernel (AHK) to improve
the clustering stability, and a Local Density Affinity Transformation (LDAT)
to correct the bias originated from different cluster densities. Our proposed
framework integrates these two techniques systematically. As a result,
it not only provides an advanced noise-resisting and density-aware spectral
mapping to the original datasets, but also demonstrates the clustering stability
during the process of tuning the scaling parameters.