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math.FA2012★ 7 cited
A note on column subset selection
Pierre Youssef
Given a matrix U, using a deterministic method, we extract a "large" submatrix of U'(whose columns are obtained by normalizing those of U) and estimate its smallest and largest sin…
math.FA2012★ 24 cited
Restricted Invertibility and the Banach-Mazur distance to the cube
Pierre Youssef
We prove a normalized version of the restricted invertibility principle obtained by Spielman-Srivastava. Applying this result, we get a new proof of the proportional Dvoretzky-Roge…