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arxiv: 1209.4405 · v1 · pith:ESAPKBCGnew · submitted 2012-09-20 · 💻 cs.IT · cs.NA· math.IT· math.NA

Strongly Convex Programming for Principal Component Pursuit

classification 💻 cs.IT cs.NAmath.ITmath.NA
keywords convexmatrixstronglycomponentlinearlow-rankmeasurementsprogramming
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In this paper, we address strongly convex programming for princi- pal component pursuit with reduced linear measurements, which decomposes a superposition of a low-rank matrix and a sparse matrix from a small set of linear measurements. We first provide sufficient conditions under which the strongly convex models lead to the exact low-rank and sparse matrix recov- ery; Second, we also give suggestions on how to choose suitable parameters in practical algorithms.

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