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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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Nonnegative matrix factorization with matrix exponentiation
2010 IEEE International Conference on Acoustics, Speech and Signal Processing, 2010Nonnegative matrix factorization (NMF) has been successfully applied to different domains as a technique able to find part-based linear representations for nonnegative data. However, when extra constraints are incorporated into NMF, simple gradient descent optimization can be inefficient for high-dimensional problems, due to the overhead to enforce the
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Variational Nonnegative Matrix Factorisation
2009 IEEE 17th Signal Processing and Communications Applications Conference, 2009We describe non-negative matrix factorisation (NMF) in a statistical framework, with a hierarchical generative model consisting of an observation and a prior component. Omitting the prior leads to standard NMF algorithms as special cases, where maximum likelihood parameter estimation is carried out via the Expectation-Maximisation (EM) algorithm ...
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Generalized Separable Nonnegative Matrix Factorization
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021Junjun Pan, Nicolas Gillis
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Graph Regularized Nonnegative Matrix Factorization for Data Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011Deng Cai
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Convex and Semi-Nonnegative Matrix Factorizations
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2010Michael I Jordan
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Constrained Nonnegative Matrix Factorization for Image Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012Haifeng Liu, Deng Cai, Xuelong Li
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Fast and Robust Recursive Algorithmsfor Separable Nonnegative Matrix Factorization
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2014Nicolas Gillis
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