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Matrix Completion and Low-Rank Matrix Recovery

2013
This 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
openaire   +1 more source

On the Low Rank Solutions for Linear Matrix Inequalities

Mathematics of Operations Research, 2008
In 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 In the approach of Au-Yeung and Poon an earlier unpublished manuscript of Bohnenblust played an essential role.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
openaire   +1 more source

Fast Nyström for Low Rank Matrix Approximation

2012
Low-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
openaire   +1 more source

Robust rank-one matrix completion with rank estimation

Pattern Recognition, 2023
Feiping Nie, Ziheng Li
exaly  

Color Image Recovery Using Low-Rank Quaternion Matrix Completion Algorithm

IEEE Transactions on Image Processing, 2022
Jifei Miao, Kit Ian Kou
exaly  

Fast Federated Low Rank Matrix Completion

2023 59th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2023
Ahmed Ali Abbasi   +2 more
openaire   +1 more source

The rank of a random matrix

Applied Mathematics and Computation, 2007
Xinlong Feng
exaly  

Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion

SIAM Journal of Scientific Computing, 2015
Ming-Jun Lai   +2 more
exaly  

Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

SIAM Review, 2010
Benjamin Recht   +2 more
exaly  

Nonnegative low rank matrix approximation for nonnegative matrices

Applied Mathematics Letters, 2020
Michael Ng, Guang-Jing Song
exaly  

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