8 citations · 14 across the 3 of their papers we have counts for
4 papers
An improved analysis and unified perspective on deterministic and randomized low rank matrix approximations
James Demmel, Laura Grigori, Alexander Rusciano
We introduce a Generalized LU-Factorization (\textbf{GLU}) for low-rank matrix approximation. We relate this to past approaches and extensively analyze its approximation properties…
A Generalized Randomized Rank-Revealing Factorization
Grey Ballard, James Demmel, Ioana Dumitriu +1
We introduce a Generalized Randomized QR-decomposition that may be applied to arbitrary products of matrices and their inverses, without needing to explicitly compute the products…
A Riemannian Corollary of Helly's Theorem
Alexander Rusciano
We introduce a notion of halfspace for Hadamard manifolds that is natural in the context of convex optimization. For this notion of halfspace, we generalize a classic result of Grü…
Parallelepipeds obtaining HBL lower bounds
James Demmel, Alex Rusciano
This work studies the application of the discrete Holder-Brascamp-Lieb (HBL) inequalities to the design of communication optimal algorithms. In particular, it describes optimal til…