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Matrix Completion and Low-Rank Matrix Recovery
2013This chapter is a natural development following Chap. 7. In other words, Chaps. 7 and 8 may be viewed as two parallel developments. In Chap. 7, compressed sensing exploits the sparsity structure in a vector, while low-rank matrix recovery—Chap. 8—exploits the low-rank structure of a matrix: sparse in the vector composed of singular values.
Robert Qiu, Michael Wicks
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On the Low Rank Solutions for Linear Matrix Inequalities
Mathematics of Operations Research, 2008In this paper we present a polynomial-time procedure to find a low-rank solution for a system of linear matrix inequalities (LMI). The existence of such a low-rank solution was shown in the work of Au-Yeung and Poon and the work of Barvinok. In the approach of Au-Yeung and Poon an earlier unpublished manuscript of Bohnenblust played an essential role.
Wenbao Ai, Yongwei Huang, Shuzhong Zhang
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Fast Nyström for Low Rank Matrix Approximation
2012Low-rank matrix approximation is a crucial technique for data analysis and scientific computing, and the Nystrom method is one of the efficient sampling-based low-rank approximation schemes for handling large kernel matrices. The approximation accuracy of Nystrom approach highly depends on the number of columns of the subset used, and it consumes much ...
Huaxiang Zhang 0001 +2 more
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Robust rank-one matrix completion with rank estimation
Pattern Recognition, 2023Feiping Nie, Ziheng Li
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Color Image Recovery Using Low-Rank Quaternion Matrix Completion Algorithm
IEEE Transactions on Image Processing, 2022Jifei Miao, Kit Ian Kou
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Fast Federated Low Rank Matrix Completion
2023 59th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2023Ahmed Ali Abbasi +2 more
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Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion
SIAM Journal of Scientific Computing, 2015Ming-Jun Lai +2 more
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Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
SIAM Review, 2010Benjamin Recht +2 more
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Nonnegative low rank matrix approximation for nonnegative matrices
Applied Mathematics Letters, 2020Michael Ng, Guang-Jing Song
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