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Stable Signal Recovery from Incomplete and Inaccurate Measurements
`1-minimization basis pursuit restricted orthonormality sparsity singular values of random matrices
2015/6/17
Suppose we wish to recover a vector x0 ∈ Rm (e.g. a digital signal or image) from incomplete and contaminated observations y = Ax0 + e; A is a n by m matrix with far fewer rows than columns (n m) an...
Tight Oracle Bounds for Low-rank Matrix Recovery from a Minimal Number of Random Measurements
Matrix completion The Dantzig selector oracle inequalities norm of random matrices convex optimization and semidefinite programming
2015/6/17
This paper presents several novel theoretical results regarding the recovery of a low-rank matrix from just a few measurements consisting of linear combinations of the matrix entries. We show that pro...