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Optimal column-based low-rank matrix reconstruction

Clinical Orthopaedics and Related Research, (2012): 1207-1214

被引用120|浏览11
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摘要

We prove that for any real-valued matrix X ε Rmxn, and positive integers r ≥ k, there is a subset of r columns of X such that projecting X onto their span gives a [EQUATION]-approximation to best rank-k approximation of X in Frobenius norm. We show that the trade-off we achieve between the number of columns and the approximation ratio is ...更多

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