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Algorithms for non-negative matrix factorization

D Seung, +1 more
- Vol. 13, pp 556-562
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The article was published on 2001-01-01 and is currently open access. It has received 5015 citations till now. The article focuses on the topics: Non-negative matrix factorization.

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Journal ArticleDOI

Muscle Synergy Organization Is Robust Across a Variety of Postural Perturbations

TL;DR: The robustness of synergy organization across perturbation types, postures, and animals suggests that muscle synergies controlling task-variables are a general construct used by the CNS for balance control.
Proceedings ArticleDOI

A scalable collaborative filtering framework based on co-clustering

TL;DR: This paper designs incremental and parallel versions of the co-clustering algorithm and uses it to build an efficient real-time CF framework and demonstrates that this approach provides an accuracy comparable to that of the correlation and matrix factorization based approaches at a much lower computational cost.
Journal ArticleDOI

On the Convergence of Multiplicative Update Algorithms for Nonnegative Matrix Factorization

TL;DR: This paper proposes slight modifications of existing updates and proves their convergence, and techniques invented in this paper may be applied to prove the convergence for other bound-constrained optimization problems.
Journal ArticleDOI

Constrained Nonnegative Matrix Factorization for Image Representation

TL;DR: It is shown how explicitly combining label information improves the discriminating power of the resulting matrix decomposition, and the effectiveness of the novel algorithm in comparison to the state-of-the-art approaches through a set of evaluations based on real-world applications.
Journal ArticleDOI

Convolutive Speech Bases and Their Application to Supervised Speech Separation

TL;DR: The model proposed is a convolutive version of the nonnegative matrix factorization algorithm, which is very well suited for intuitively and efficiently representing magnitude spectra and its application on simultaneous speakers separation from monophonic recordings is presented.
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