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Block-Diagonal Guided Symmetric Nonnegative Matrix Factorization
IEEE Transactions on Knowledge and Data Engineering, 2021Symmetric nonnegative matrix factorization (SNMF) is effective to cluster nonlinearly separable data, which uses the constructed graph to capture the structure of inherent clusters. Nevertheless, many SNMF-based clustering approaches implicitly enforce either the sparseness constraint or the smoothness constraint with the limited supervised information
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Structured subspace learning-induced symmetric nonnegative matrix factorization
Signal Processing, 2021Abstract Symmetric NMF (SNMF) is able to determine the inherent cluster structure with the constructed graph. However, the mapping between the empirically constructed similarity representation and the desired one may contain complex structural and hierarchical information, which is not easy to capture with single learning approaches. Then, we propose
Yalan Qin, Hanzhou Wu, Guorui Feng
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Pairwise Constraint Propagation-Induced Symmetric Nonnegative Matrix Factorization
IEEE Transactions on Neural Networks and Learning Systems, 2018As a variant of nonnegative matrix factorization (NMF), symmetric NMF (SNMF) has shown to be effective for capturing the cluster structure embedded in the graph representation. In contrast to the existing SNMF-based clustering methods that empirically construct the similarity matrix and rigidly introduce the supervisory information to the assignment ...
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Symmetric Nonnegative Matrix Factorization With Beta-Divergences
IEEE Signal Processing Letters, 2012Nonnegative matrix factorization/approximation (NMF) is a recently developed technology for dimensionality reduction and parts based data representation. The symmetric NMF (SNMF) decomposition is a special case of NMF, in which both factors are identical. This paper discusses SNMF decomposition with beta divergences.
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