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Swarm Intelligence for Non-Negative Matrix Factorization
International Journal of Swarm Intelligence Research, 2011The Non-negative Matrix Factorization (NMF) is a special low-rank approximation which allows for an additive parts-based and interpretable representation of the data. This article presents efforts to improve the convergence, approximation quality, and classification accuracy of NMF using five different meta-heuristics based on swarm intelligence ...
Andreas Janecek, Ying Tan 0002
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Robust discriminative non-negative matrix factorization
Neurocomputing, 2016Traditional non-negative matrix factorization (NMF) is an unsupervised method that represents non-negative data by a part-based dictionary and non-negative codes. Recently, the unsupervised NMF has been extended to discriminative ones for classification problems.
Ruiqing Zhang +3 more
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Non-negative Matrix Factorization for Face Recognition
2002The computer vision problem of face classification under several ambient and unfavorable conditions is considered in this study. Changes in expression, different lighting conditions and occlusions are the relevant factors that are studied in this present contribution.
David Guillamet, Jordi Vitrià
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Non-negative Matrix Factorization with sparse features
2011 IEEE International Conference on Granular Computing, 2011We propose an approach for Non-negative Matrix Factorization (NMF) with sparseness constraints on feature vectors. It has been believed that the non-negativity constraint in NMF contributes to making the learned features sparse, and some approaches incorporated additional sparseness constraints.
Keigo Kimura, Tetsuya Yoshida
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Quantum Semi Non-negative Matrix Factorization
2021Semi Non-negative Matrix Factorization (SNMF) is a machine learning algorithm that is used to decompose large data matrices where the data matrix is unconstrained (i.e., it may have mixed signs). We develop the quantum version of SNMF using quantum gradient descent, and we show that the quantum version of SNMF provides an exponential speedup compared ...
Kaoutar Benlamine +3 more
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Correntropy supervised non-negative matrix factorization
2015 International Joint Conference on Neural Networks (IJCNN), 2015Non-negative matrix factorization (NMF) is a powerful dimension reduction method and has been widely used in many pattern recognition and computer vision problems. However, conventional NMF methods are neither robust enough as their loss functions are sensitive to outliers, nor discriminative because they completely ignore labels in a dataset.
Wenju Zhang +5 more
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Non-negative matrix factorization
2017Non-negative matrix factorization - NMF is a Linear Dimensionality Reduction method, which approximates a high dimensional non-negative data matrix by a multiplica- tion of two low-ranked matrices that preserves the non-negativity of the data. This property has proven to be beneficial as it allows for the approximated data to be interpreted in the same
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Probabilistic Sparse Non-negative Matrix Factorization
2018In this paper, we propose a probabilistic sparse non-negative matrix factorization model that extends a recently proposed variational Bayesian non-negative matrix factorization model to explicitly account for sparsity. We assess the influence of imposing sparsity within a probabilistic framework on either the loading matrix, score matrix, or both and ...
Jesper Løve Hinrich, Morten Mørup
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Optimum Factorization of Non-Negative Matrix Functions
Theory of Probability & Its Applications, 1964The proposition about optimum factorization of a non-negative matrix function $f(\lambda )$ is generalized for the case where the unknown function $A(z)$ of class $H_2 $ satisfies the inequality \[ A\left( {e^{ - i\lambda } } \right)A^ * \left( {e^{ - i\lambda } } \right) \leqq 2\pi f(\lambda ) \] instead of the usual equality \[ A\left( {e^{ - i ...
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Incremental Learning in the Non-negative Matrix Factorization
2009The non-negative matrix factorization (NMF) is capable of factorizing strictly positive data into strictly positive activations and base vectors. In its standard form, the input data must be presented as a batch of data. This means the NMF is only able to represent the input space contained in this batch of data whereas it is not able to adapt to ...
Sven Rebhan, Waqas Sharif, Julian Eggert
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