Abstract:In this paper we study the matrix completion problem: Suppose X ∈ R nr ×nc is unknown except for an upper bound r on its rank. By measuring a small number m ≪ n r n c of the elements of X, is it possible to recover X exactly, or at least, to construct a reasonable approximation of X? At present there are two approaches to choosing the sample set, namely probabilistic and deterministic. Probabilistic methods can guarantee the exact recovery of the unknown matrix, but only with high probability. At present there… Show more
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