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- W2060132011 abstract "The common task in matrix completion (MC) and robust principle component analysis (RPCA) is to recover a low-rank matrix from a given data matrix. These problems gained great attention from various areas in applied sciences recently, especially after the publication of the pioneering works of Cand`es et al.. One fundamental result in MC and RPCA is that nuclear norm based convex optimizations lead to the exact low-rank matrix recovery under suitable conditions. In this paper, we extend this result by showing that strongly convex optimizations can guarantee the exact low-rank matrix recovery as well. The result in this paper not only provides sufficient conditions under which the strongly convex models lead to the exact low-rank matrix recovery, but also guides us on how to choose suitable parameters in practical algorithms." @default.
- W2060132011 created "2016-06-24" @default.
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- W2060132011 date "2011-12-16" @default.
- W2060132011 modified "2023-09-27" @default.
- W2060132011 title "Strongly Convex Programming for Exact Matrix Completion and Robust Principal Component Analysis" @default.
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- W2060132011 doi "https://doi.org/10.48550/arxiv.1112.3946" @default.
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