Nonnegative low rank matrix approximation for nonnegative matrices

DOI10.1016/j.aml.2020.106300zbMath1436.65056arXiv1912.06836OpenAlexW3008742172MaRDI QIDQ1985392

Guang-Jing Song, Michael Kwok-Po Ng

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06836

zbMATH Keywords

projectionsmanifoldsnonnegative matrixlow-rank approximation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (9)

A Nonlinear Matrix Decomposition for Mining the Zeros of Sparse Data ⋮ Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds ⋮ Sketching for a low-rank nonnegative matrix approximation: numerical study ⋮ Nonnegative low rank tensor approximations with multidimensional image applications ⋮ Study of performance of low-rank nonnegative tensor factorization methods ⋮ Low-rank nonnegative tensor approximation via alternating projections and sketching ⋮ Non-negative low-rank approximations for multi-dimensional arrays on statistical manifold ⋮ Randomized low rank approximation for nonnegative pure quaternion matrices ⋮ An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation

Uses Software

• bioNMF

Cites Work

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• Alternating projections on nontangential manifolds
• Low-Rank Matrix Completion by Riemannian Optimization
• Introduction to Smooth Manifolds
• Hierarchical ALS Algorithms for Nonnegative Matrix and 3D Tensor Factorization
• Introducing a weighted non-negative matrix factorization for image classification
• Robust and Non-Negative Collective Matrix Factorization for Text-to-Image Transfer Learning
• Learning the parts of objects by non-negative matrix factorization
• SNMFCA: Supervised NMF-Based Image Classification and Annotation
• Projected Gradient Methods for Nonnegative Matrix Factorization

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