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Learning Low Rank Matrices from O(n) Entries
Random items matrix reconstruction matrix the stochastic matrix
2015/8/21
How many random entries of an n × nα, rank r matrix are necessary to reconstruct the matrix within an accuracy δ? We address this question in the case of a random matrix with bounded rank, whereby the...
Dense Error Correction for Low-Rank Matrices via Principal Component Pursuit
Dense Error Correction Low-Rank Matrices Principal Component Pursuit
2015/6/17
We consider the problem of recovering a lowrank matrix when some of its entries, whose locations are not known a priori, are corrupted by errors of arbitrarily large magnitude. It has recently been sh...
The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices
Low-rank matrix recovery or completion Robust principal component analysis Nuclear norm minimization
2010/12/13
This paper proposes scalable and fast algorithms for solving the Robust PCA problem, namely recovering a low-rank matrix with an unknown fraction of its entries being arbitrarily corrupted. This probl...