SRF: Matrix completion based on smoothed rank function

12 years 8 months ago
SRF: Matrix completion based on smoothed rank function
In this paper, we address the matrix completion problem and propose a novel algorithm based on a smoothed rank function (SRF) approximation. Among available algorithms like FPCA and OptSpace, there is no solution that can simultaneously cover wide range of easy and hard problems. This new algorithm provides accurate results in almost all scenarios with a reasonable run time. It especially has low execution time in hard problems where other methods need long time to converge. Furthermore, when the rank is known in advance and is high, our method is very faster than previous methods for the same accuracy. The main idea of the algorithm is based on a continuous and differentiable approximation of the rank function and then, using gradient projection approach to minimize it.
Hooshang Ghasemi, Mohmmadreza Malek-Mohammadi, Mas
Added 21 Aug 2011
Updated 21 Aug 2011
Type Journal
Year 2011
Authors Hooshang Ghasemi, Mohmmadreza Malek-Mohammadi, Massoud Babaie-Zadeh, Christian Jutten
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