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This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints.
Shape and motion from image streams under orthography: a factorization method
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Characterization of the subdifferential of some matrix norms
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The mathematics of eigenvalue optimization
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Convex Optimization
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Recovering the missing components in a large noisy low-rank matrix: application to SFM source
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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
I. Daubechies, M. Defrise, and C. De Mol · 2004
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Solving a variational image restoration model which involves
S. Lintner, and F. Malgouyres · 2004
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Decoding by linear programming
E. J. Candès and T. Tao · 2005
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Signal recovery by proximal forward-backward splitting
P. L. Combettes and V. R. Wajs · 2005
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Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
M. Elad, J.-L. Starck, P. Querre, and D. L. Donoho · 2005
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An iterative regularization method for total variation-based image restoration
S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin · 2005
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Low-rank matrix factorization with attributes
J. Abernethy, F. Bach, T. Evgeniou, and J.-P. Vert · 2006
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Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
E. J. Candès, J. Romberg, and T. Tao · 2006
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Near-optimal signal recovery from random projections: universal encoding strategies?
Randomized algorithms for the low-rank approximation of matrices
E. Liberty, F. Woolfe, P.-G. Martinsson, V. Rokhlin, and M. Tygert · 2007
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Guaranteed minimum rank solutions of matrix equations via nuclear norm minimization
B. Recht, M. Fazel, and P. Parrilo · 2007
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Sparse reconstruction by separable approximation
S. J. Wright, R. Nowak, and M. Figueiredo · 2007
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Restoration of chopped and nodded images by framelets
J.-F. Cai, R. Chan, L. Shen, and Z. Shen · 2008
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A framelet-based image inpainting algorithm
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Convergence of the Linearized Bregman Iteration for ℓ 1 \ell_{1} -norm Minimization
J.-F. Cai, S. Osher, and Z. Shen · 2008
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