A. Pajor

activity

19922016

most citedQuantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles

117 citations · 296 across the 16 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.PR2009★ 17 cited

Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling

Radosław Adamczak, Alexander E. Litvak, Alain Pajor +1

This paper considers compressed sensing matrices and neighborliness of a centrally symmetric convex polytope generated by vectors $\pm X_{1}, ..., \pm X_{N} \in R^{n}$ , ( $N \geq n$ ). We intro…

math.PR2009★ 117 cited

Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles

Radosław Adamczak, Alexander E. Litvak, Alain Pajor +1

Let $K$ be an isotropic convex body in $R^{n}$ . Given $\eps>0$, how many independent points $X_{i}$ uniformly distributed on $K$ are needed for the empirical covariance matrix to appr…