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Enhanced Low-Rank Matrix Approximation

delete2016-04-01
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Ankit Parekh *
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Ivan Selesnick
DOI:10.1109/LSP.2016.2535227delete
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摘要

摘要

En 中文
This letter proposes to estimate low-rank matrices by formulating a convex optimization problem with nonconvex regularization. We employ parameterized nonconvex penalty functions to estimate the nonzero singular values more accurately than the nuclear norm. A closed-form solution for the global optimum of the proposed objective function (sum of data fidelity and the nonconvex regularizer) is also derived. The solution reduces to singular value thresholding method as a special case. The proposed method is demonstrated for image denoising.
Keyword:
Convex optimization
image denoising
low-rank matrix
nonconvex regularization
nuclear norm
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期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

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New York University
学者数:
4.4W
论文数: 3.9W
被引数: 5.8W
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New York University Tandon School of Engineering
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论文数: 854
被引数: 0
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