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Weighted nonnegative matrix factorization
2009 IEEE International Conference on Acoustics, Speech and Signal Processing, 2009Nonnegative matrix factorization (NMF) is a widely-used method for low-rank approximation (LRA) of a nonnegative matrix (matrix with only nonnegative entries), where nonnegativity constraints are imposed on factor matrices in the decomposition. A large body of past work on NMF has focused on the case where the data matrix is complete.
Yong-Deok Kim, Seungjin Choi
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Interpretable nonnegative matrix decompositions
Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining, 2008A matrix decomposition expresses a matrix as a product of at least two factor matrices. Equivalently, it expresses each column of the input matrix as a linear combination of the columns in the first factor matrix. The interpretability of the decompositions is a key issue in many data-analysis tasks. We propose two new matrix-decomposition problems: the
Saara Hyvönen +2 more
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Community Detection in Multi-Layer Networks Using Joint Nonnegative Matrix Factorization
IEEE Transactions on Knowledge and Data Engineering, 2019Many complex systems are composed of coupled networks through different layers, where each layer represents one of many possible types of interactions. A fundamental question is how to extract communities in multi-layer networks.
Xiaoke Ma, Di Dong, Quan Wang
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Elastic nonnegative matrix factorization
Pattern Recognition, 2019Abstract Nonnegative matrix factorization (NMF) plays a vital role in data mining and machine learning fields. Standard NMF utilizes the Frobenius norm while robust NMF uses the robust l2,1-norm to measure the quality of factorization, given the assumption of i.i.d Gaussian noise model and i.i.d Laplacian noise model, respectively.
He Xiong, Deguang Kong
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Nonsmooth nonnegative matrix factorization (nsNMF)
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2006We propose a novel nonnegative matrix factorization model that aims at finding localized, part-based, representations of nonnegative multivariate data items. Unlike the classical nonnegative matrix factorization (NMF) technique, this new model, denoted "nonsmooth nonnegative matrix factorization" (nsNMF), corresponds to the optimization of an ...
Alberto Pascual-Montano +2 more
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Isprs Journal of Photogrammetry and Remote Sensing, 2020
In the paper, we propose a deep nonsmooth nonnegative matrix factorization (nsNMF) network with semi-supervised learning for synthetic aperture radar (SAR) image change detection.
Hengchao Li +4 more
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In the paper, we propose a deep nonsmooth nonnegative matrix factorization (nsNMF) network with semi-supervised learning for synthetic aperture radar (SAR) image change detection.
Hengchao Li +4 more
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Robust nonnegative matrix factorization with structure regularization
Neurocomputing, 2020Nonnegative matrix factorization (NMF) has attracted more and more attention due to its wide applications in computer vision, information retrieval, and machine learning.
Qi Huang +4 more
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Low-rank nonnegative matrix factorization on Stiefel manifold
Information Sciences, 2020Low rank is an important but ill-posed problem in the development of nonnegative matrix factorization (NMF) algorithms because the essential information is often encoded in a low-rank intrinsic data matrix, whereas noise and outliers are contained in a ...
Ping He +3 more
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Structural Deep Nonnegative Matrix Factorization for community detection
Applied Soft Computing, 2020Due to the important role in analyzing the topological structure of complex networks, community detection has attracted increasing attention recently. The network embedding methods have shown promising performances in community detection, aiming to learn
Min Zhang, Zhiping Zhou
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Deep Autoencoder-like Nonnegative Matrix Factorization for Community Detection
International Conference on Information and Knowledge Management, 2018Community structure is ubiquitous in real-world complex networks. The task of community detection over these networks is of paramount importance in a variety of applications.
Fanghua Ye, Chuan Chen, Zibin Zheng
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