Title
Sparse Robust Graph-Regularized Non-Negative Matrix Factorization Based On Correntropy
Abstract
Non-negative Matrix Factorization (NMF) is a popular data dimension reduction method in recent years. The traditional NMF method has high sensitivity to data noise. In the paper, we propose a model called Sparse Robust Graph-regularized Non-negative Matrix Factorization based on Correntropy (SGNMFC). The maximized correntropy replaces the traditional minimized Euclidean distance to improve the robustness of the algorithm. Through the kernel function, correntropy can give less weight to outliers and noise in data but give greater weight to meaningful data. Meanwhile, the geometry structure of the high-dimensional data is completely preserved in the low-dimensional manifold through the graph regularization. Feature selection and sample clustering are commonly used methods for analyzing genes. Sparse constraints are applied to the loss function to reduce matrix complexity and analysis difficulty. Comparing the other five similar methods, the effectiveness of the SGNMFC model is proved by selection of differentially expressed genes and sample clustering experiments in three The Cancer Genome Atlas (TCGA) datasets.
Year
DOI
Venue
2021
10.1142/S021972002050047X
JOURNAL OF BIOINFORMATICS AND COMPUTATIONAL BIOLOGY
Keywords
DocType
Volume
Non-negative matrix factorization, correntropy, sparsity, sample clustering, robustness
Journal
19
Issue
ISSN
Citations 
1
0219-7200
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
ChuanYuan Wang121.73
Gao Ying-Lian22918.73
Liu Jin-Xing34016.11
Ling-yun Dai455.85
Junliang Shang54214.78