rank approximation
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Average Case Column Subset Selection for Entrywise $\ell_1$-Norm Loss
Zhao Song, David Woodruff, Peilin Zhong
Nevertheless, we show that under certain minimal and realistic distributional settings, it is possible to obtain a (1+ null)-approximation with a nearly linear running time and poly (k/null) + O ( k log n) columns. Namely, we show that if the input matrix A has the form A = B + E, where B is an arbitrary rank-k matrix, and E is a matrix with i.i.d.
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