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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.
International Journal of Systems Science 12
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Abernethy, J., Bach, F., Evgeniou, T., Vert, J.P.: Low-rank matrix factorization with attributes · 2006
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In: Proceedings of the Twenty-fourth International Conference on Machine Learning (2007)
Amit, Y., Fink, M., Srebro, N., Ullman, S.: Uncovering shared structures in multiclass classification · 2007
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In: Proceedings of Advances in Neural Information Processing Systems (2007)
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preprint, code available at http://svt.caltech.edu/code.html (2008)
Cai, J., Candès, E., Shen, Z.: A singular value thresholding algorithm for matrix completion · 2008
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preprint (2008)
Candès, E., Recht, B.: Exact matrix completion via convex optimization · 2008
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submitted to SIAM Review (2008)
SIAM Journal on Imaging Sciences 1
Yin, W., Osher, S., Goldfarb, D., Darbon, J.: Bregman iterative algorithms for ℓ 1 \ell_{1} -minimization with applications to compressed sensing · 2008
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SIAM Journal on Imaging Sciences 2
Beck, A., Teboulle, M.: A fast iterative shrinkage-thresholding algorithm for linear inverse problems · 2009
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Math. Comp. 78
Cai, J.F., Osher, S., Shen, Z.: Linearized Bregman iterations for compressed sensing · 2009
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preprint (2009)
Chandrasekharan, V., Sanghavi, S., Parillo, P., Wilsky, A.: Rank-sparsity incoherence for matrix decomposition · 2009
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http://stanford.edu/ ∼ \sim boyd/cvx (2009)
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preprint (2009)
Toh, K.C., Yun, S.: An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems · 2009
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Recht, B., Fazel, M., Parillo, P.: Guaranteed minimum rank solution of matrix equations via nuclear norm minimization · 2008
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submitted to SIAM Journal on Optimization (2008)
Tseng, P.: On accelerated proximal gradient methods for convex-concave optimization · 2008
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preprint (2008)
Yin, W., Hale, E., Zhang, Y.: Fixed-point continuation for ℓ 1 \ell_{1} -minimization: methodology and convergence · 2008
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SIAM J. Optimization (submitted)
Lin, Z., Ganesh, A., Wright, J., Wu, L., Chen, M., Ma, Y.: Fast convex optimization algorithms for exact recovery of a corrupted low-rank matrix
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submitted to Journal of the ACM (2009)
Wright, J., Ganesh, A., Rao, S., Ma, Y.: Robust principal component analysis: Exact recovery of corrupted low-rank matrices via convex optimization · 2009
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In: Proceedings of Advances in Neural Information Processing Systems (2009)
Wright, J., Ganesh, A., Rao, S., Peng, Y., Ma, Y.: Robust principal component analysis: Exact recovery of corrupted low-rank matrices via convex optimization · 2009
Later among the works it cites.