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This paper considers the problem of recovery of a low-rank matrix in the situation when most of its entries are not observed and a fraction of observed entries are corrupted.
Absolute and monotonic norms
F.L. Bauer, J. Stoer, and C. Witzgall · 1961
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J.P. Aubin and I. Ekeland · 1984
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Decoupling
Víctor H. de la Peña and Evarist Giné · 1999
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Exponential and moment inequalities for U U -statistics
Evarist Giné, Rafał Latała, and Joel Zinn · 2000
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Introduction to nonparametric estimation
Alexandre B. Tsybakov · 2004
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Oracle inequalities in empirical risk minimization and sparse recovery problems
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The power of convex relaxation: near-optimal matrix completion
Emmanuel J. Candès and Terence Tao · 2010
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Matrix completion from noisy entries
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Introduction to the non-asymptotic analysis of random matrices, 2010
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David Gross · 2011
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Estimation of high-dimensional low-rank matrices
A. Rohde and A. Tsybakov · 2011
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Noisy matrix decomposition via convex relaxation: optimal rates in high dimensions
Alekh Agarwal, Sahand Negahban, and Martin J. Wainwright · 2012
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Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
S. Negahban and M. J. Wainwright · 2012
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Robust PCA via outlier pursuit
Huan Xu, Constantine Caramanis, and Sujay Sanghavi · 2012
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Low-rank matrix recovery from errors and erasures
Yudong Chen, Ali Jalali, Sujay Sanghavi, and Constantine Caramanis · 2013
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Compressed sensing and matrix completion with constant proportion of corruptions
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Robust matrix decomposition with sparse corruptions
Daniel Hsu, Sham M. Kakade, and Tong Zhang · 2011
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Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
Vladimir Koltchinskii, Karim Lounici, and Alexandre B. Tsybakov · 2011
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A simpler approach to matrix completion
Ben Recht · 2011
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Matrix completion via max-norm constrained optimization
T. T. Cai and W. Zhou
Cited in the paper.
Xiaodong Li · 2013
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Hanson-Wright inequality and sub-Gaussian concentration
Mark Rudelson and Roman Vershynin · 2013
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Noisy low-rank matrix completion with general sampling distribution
Olga Klopp · 2014
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