Pierre Youssef

activity

20122026

most citedThe dimension-free structure of nonhomogeneous random matrices

48 citations · 137 across the 28 of their papers we have counts for

collaborators

Showing 2016 · math.FAShow all

2 papers · 2 filters

math.FA2016★ 16 cited

Approximating matrices and convex bodies through Kadison-Singer

Omer Friedland, Pierre Youssef

We show that any $n \times m$ matrix $A$ can be approximated in operator norm by a submatrix with a number of columns of order the stable rank of $A$ . This improves on existing resu…

math.FA2016

Restricted invertibility revisited

Assaf Naor, Pierre Youssef

Suppose that $m, n \in N$ and that $A : R^{m} \to R^{n}$ is a linear operator. It is shown here that if $k, r \in N$ satisfy $k < r \leq rank (A)$ …