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A Progressive Hierarchical Alternating Least Squares Method for Symmetric Nonnegative Matrix Factorization

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2022
In this article, we study the symmetric nonnegative matrix factorization (SNMF) which is a powerful tool in data mining for dimension reduction and clustering. The main contributions of the present work include: (i) a new descent direction for the rank-one SNMF is derived and a strategy for choosing the step size along this descent direction is ...
Liangshao Hou, Delin Chu, Li-Zhi Liao
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Minimum-volume-regularized weighted symmetric nonnegative matrix factorization for clustering

2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2016
In recent years, nonnegative matrix factorization (NMF) attracts much attention in machine learning and signal processing fields due to its interpretability of data in a low dimensional subspace. For clustering problems, symmetric nonnegative matrix factorization (SNMF) as an extension of NMF factorizes the similarity matrix of data points directly and
Tianxiang Gao   +2 more
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Integrating Symmetric Nonnegative Matrix Factorization and Normalized Cut Spectral Clustering

2010 IEEE International Conference on Data Mining Workshops, 2010
In this paper, we integrate symmetric NMF and normalized cut into a single clustering framework and derive the computational algorithm. Another contribution is to provide a new matrix inequality which is useful for the analysis of 4-th order matrix polynomials.
Zhichen Xia, Chris H. Q. Ding
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Block Iteratively Reweighted Algorithms for Robust Symmetric Nonnegative Matrix Factorization

IEEE Signal Processing Letters, 2018
This letter is concerned with the symmetric nonnegative matrix factorization in the presence of heavy-tailed outliers. We address this problem under a formulation involving some robust loss functions, instead of the standard squared-error loss. To handle the original computationally intractable problem, we present an efficient block iteratively ...
Zhen-Qing He, Xiaojun Yuan 0002
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Temporal community detection based on symmetric nonnegative matrix factorization

International Journal of Modern Physics B, 2017
To understand time-evolving networks, researchers should not only concentrate on the community structures, an essential property of complex networks, in each snapshot, but also study the internal evolution of the entire networks. Temporal communities provide insights into such mechanism, i.e., how the communities emerge, expand, shrink, merge, split ...
Pengfei Jiao   +4 more
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A unified framework of community hiding using symmetric nonnegative matrix factorization

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong Liu 0008   +3 more
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ESNMF: Evolutionary Symmetric Nonnegative Matrix Factorization for Dissecting Dynamic Microbial Networks

2018
Dynamic network is drawing more and more attention due to its potential in capturing time-dependent phenomena such as online public opinion and biological system. Microbial interaction networks that model the microbial system are often dynamic, static analysis methods are difficult to obtain reliable knowledge on evolving communities.
Yuanyuan Ma   +5 more
openaire   +1 more source

Semi-Supervised Adaptive Symmetric Nonnegative Matrix Factorization for Multi-View Clustering

IEEE Transactions on Network Science and Engineering
Multi-view clustering (MVC) has gained attention for its ability to efficiently handle complex high-dimensional data. Many existing MVC methods rely on a technique known as Nonnegative Matrix Factorization (NMF). Among these, Symmetric Nonnegative Matrix Factorization (SNMF) notably stands out for its ability to reduce dimensionality and provide easily
Mehrnoush Mohammadi   +4 more
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Symmetric Nonnegative Matrix Factorization for Graph Clustering

Proceedings of the 2012 SIAM International Conference on Data Mining, 2012
Da Kuang, Haesun Park, Chris H. Q. Ding
openaire   +2 more sources

Hypergraph Based Semi-Supervised Symmetric Nonnegative Matrix Factorization for Image Clustering

Pattern Recognition, 2023
Zhijing Yang, Zhiping Lin, Badong Chen
exaly  

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