The applicability of traditional spectral clustering is limited by its high complexity in large-scale data sets. Through construction of affinity matrix between landmark points and data points, the Landmark-based Spectral Clustering (LSC) algorithm can significantly reduce the computational complexity of spectral embedding. It is vital for clustering results to apply the suitable strategies of the generation of landmark points. While considering big data problems, the existing generation strategies of landmark points face some deficiencies: the unstable results of random sampling, along with the unknown convergence time and the repeatability of data reading in k-means centers method. In this paper, a rapid landmark-sampling spectral clustering algorithm based on the approximate singular value decomposition is designed, which makes the sampling probability of each landmark point decided by the row norm of the approximate singular vector matrix. Compared with LSC algorithm based on random sampling, the clustering result of new algorithm is more stable and accurate; compared with LSC algorithm based on k-means centers, the new algorithm reduces the computational complexity. Moreover, the preservation of information in original data is analyzed for the landmark-sampling results theoretically. At the same time, the performance of new approach is verified by the experiments in some public data sets.
叶茂,刘文芬. 基于快速地标采样的大规模谱聚类算法[J]. 电子与信息学报, 2017, 39(2): 278-284.
YE Mao, LIU Wenfen. Large Scale Spectral Clustering Based on Fast Landmark Sampling. JEIT, 2017, 39(2): 278-284.
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