Adaptive total-variation for non-negative matrix factorization on manifold

2017 ◽  
Vol 98 ◽  
pp. 68-74 ◽  
Author(s):  
Chengcai Leng ◽  
Guorong Cai ◽  
Dongdong Yu ◽  
Zongyue Wang
2021 ◽  
Vol 16 ◽  
Author(s):  
Ya-Li Zhu ◽  
Ying-Lian Gao ◽  
Jin-Xing Liu ◽  
Rong Zhu ◽  
Xiang-Zhen Kong

Background: Single-cell RNA sequencing techniques have emerged as effective approaches for finding the heterogeneity between cells and discovering the differentiation stage. Adaptive total variation graph regularized nonnegative matrix factorization (ATV-NMF) has been proposed to capture the inner geometric structure and determine whether to retain feature details or denoise, which is suitable for analyzing single-cell data. However, the rank of matrix factorization significantly affects clustering performance greatly, and it is still challenging to determine the optimal rank. Objective: To solve the problem, in this paper, we propose an ensemble clustering method ANMF-CE to integrate several base clustering results corresponding to different parameter rank values. Method: First, we use the ATV-NMF algorithm to obtain clustering results with different dimension reduction ranks. Second, the consensus function based on connected-triple-based similarity is applied to obtain the similarity matrix. Finally, the spectral clustering method is used to find the final optimal partition. Results: Clustering results on six single-cell sequencing datasets show that our method is more advanced than the individual ATV-NMF method and other comparison methods, which can illustrate that our method is effective in finding the heterogeneity in single-cell datasets. Moreover, the identification of gene markers also achieves accurate results. Conclusion: In summary, our method is effective for analyzing single-cell RNA sequencing datasets.


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