Fast density peak clustering for large scale data based on kNN

Abstract

Density Peak (DPeak) clustering algorithm is not applicable for large scale data, due to two quantities, i.e, ρ and δ, are both obtained by brute force algorithm with complexity O(n2). Thus, a simple but fast DPeak, namely FastDPeak,11https://github.com/XiaoLHu/FastDPeak?tdsourcetag=s_pcqq_aiomsg. is proposed, which runs in about O(nlog(n)) expected time in the intrinsic dimensionality. It replaces density with kNN-density, which is computed by fast kNN algorithm such as cover tree, yielding huge improvement for density computations. Based on kNN-density, local density peaks and non-local density peaks are identified, and a fast algorithm, which uses two different strategies to compute δ for them, is also proposed with complexity O(n). Experimental results show that FastDPeak is effective and outperforms other variants of DPeak.