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CORR
2011
Springer

An Alternating Direction Algorithm for Matrix Completion with Nonnegative Factors

10 years 7 months ago
An Alternating Direction Algorithm for Matrix Completion with Nonnegative Factors
This paper introduces a novel algorithm for the nonnegative matrix factorization and completion problem, which aims to find nonnegative matrices X and Y from a subset of entries of a nonnegative matrix M so that XY approximates M. This problem is closely related to the two existing problems: nonnegative matrix factorization and low-rank matrix completion, in the sense that it kills two birds with one stone. As it takes advantages of both nonnegativity and low rank, its results can be superior than those of the two problems alone. Our algorithm is applied to minimizing a non-convex constrained least-squares formulation and is based on the classic alternating direction augmented Lagrangian method. Preliminary convergence properties and numerical simulation results are presented. Compared to a recent algorithm for nonnegative random matrix factorization, the proposed algorithm yields comparable factorization through accessing only half of the matrix entries. On tasks of recovering incomp...
Yangyang Xu, Wotao Yin, Zaiwen Wen, Yin Zhang
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2011
Where CORR
Authors Yangyang Xu, Wotao Yin, Zaiwen Wen, Yin Zhang
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