Matrix completion is the task of filling in the missing entries of a partially observed matrix.
Questions tagged [matrix-completion]
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Matrix Completion with additional constraints
Given a matrix $M \in \mathbb{R^{m \times n}}$ whose some entries in $\Omega$ are missing, I'm interested in filling in the matrix (Matrix Completion). I know a natural approach is to seek the lowest rank matrix $\hat{M}$ that interpolates the known…
user12707
- 11
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projection based on svd
Given a matrix $A$ with rank $r$. Suppose its reduced svd is $USV^{T}$.
Denote $E_{i,j}$ as matrix with only entry $(i,j)$ equaling to 1 and others all zeros.
Denote projection operator $P$ as
$$
P(X) = U*U^{T}*X + X*V*V^{T} - U*U^{T}*X*V*V^{T}.
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Bill chen
- 65