An Alternating Direction Algorithm for Matrix Completion with Nonnegative Factors

6 Mar 2011Yangyang XuWotao YinZaiwen WenYin Zhang

This paper introduces an algorithm for the nonnegative matrix factorization-and-completion problem, which aims to find nonnegative low-rank matrices X and Y so that the product XY approximates a nonnegative data matrix M whose elements are partially known (to a certain accuracy). This problem aggregates two existing problems: (i) nonnegative matrix factorization where all entries of M are given, and (ii) low-rank matrix completion where nonnegativity is not required... (read more)

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