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Manifold Peaks Nonnegative Matrix Factorization
IEEE Transactions on Neural Networks and Learning SystemsNonnegative matrix factorization (NMF) has attracted increasing interest for its high interpretability in recent years. It is shown that the NMF is closely related to fuzzy k -means clustering, where the basis matrix represents the cluster centroids.
Xiaohua Xu, Ping He
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Constrained Clustering With Nonnegative Matrix Factorization
IEEE Transactions on Neural Networks and Learning Systems, 2016Nonnegative matrix factorization (NMF) and symmetric NMF (SymNMF) have been shown to be effective for clustering linearly separable data and nonlinearly separable data, respectively. Nevertheless, many practical applications demand constrained algorithms in which a small number of constraints in the form of must-link and cannot-link are available.
Xianchao, Zhang +3 more
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Virtual label constraint Nonnegative Matrix Factorization
2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2015This paper proposes a novel Semi-supervised Nonnegative Matrix Factorization (NMF), called Virtual Label Constraint Nonnegative Matrix Factorization (VLCNMF). The idea of the VLCNMF is to extend the NMF by incorporating a virtual label constraint into the NMF decomposition.
null Xiaobing Pei +2 more
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Graph-Based Multicentroid Nonnegative Matrix Factorization
IEEE Transactions on Neural Networks and Learning SystemsNonnegative matrix factorization (NMF) is a widely recognized approach for data representation. When it comes to clustering, NMF fails to handle data points located in complex geometries, as each sample cluster is represented by a centroid. In this article, a novel multicentroid-based clustering method called graph-based multicentroid NMF (MCNMF) is ...
Chuan Ma, Yingwei Zhang, Chun-Yi Su
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cell–extracellular matrix mechanotransduction in 3D
Nature Reviews Molecular Cell Biology, 2023Aashrith Saraswathibhatla +2 more
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