A New Active Set Method For Nonnegative Matrix Factorization

DOI10.1137/130930212zbMath1314.65060OpenAlexW2040223133MaRDI QIDQ5176044

Chao Zhang, Liping Jing, Nai-Hua Xiu

Publication date: 2 March 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130930212

zbMATH Keywords

convergencenumerical examplesimage classificationactive set methoddocument clusteringnonnegative matrix facorizationproximal alternating nonnegative least squaressmooth nonconvex box-constrained optimization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Positive matrices and their generalizations; cones of matrices (15B48)

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A Smoothing Active Set Method for Linearly Constrained Non-Lipschitz Nonconvex Optimization ⋮ Active set type algorithms for nonnegative matrix factorization in hyperspectral unmixing ⋮ An approximate augmented Lagrangian method for nonnegative low-rank matrix approximation

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