On the equivalence between low-rank matrix completion and tensor rank
نویسندگان
چکیده
منابع مشابه
On the equivalence between low rank matrix completion and tensor rank
Abstract. The Rank Minimization Problem asks to find a matrix of lowest rank inside a linear variety of the space of n×m matrices. The Low Rank Matrix Completion problem asks to complete a partially filled matrix such that the resulting matrix has smallest possible rank. The Tensor Rank Problem asks to determine the rank of a tensor. We show that these three problems are equivalent: each one of...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2017
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2017.1315044