282 citations · 955 across the 31 of their papers we have counts for
3 papers · 1 filter
Parallel Nonnegative CP Decomposition of Dense Tensors
Grey Ballard, Koby Hayashi, Ramakrishnan Kannan
The CP tensor decomposition is a low-rank approximation of a tensor. We present a distributed-memory parallel algorithm and implementation of an alternating optimization method for…
A 3D Parallel Algorithm for QR Decomposition
Grey Ballard, James Demmel, Laura Grigori +2
Interprocessor communication often dominates the runtime of large matrix computations. We present a parallel algorithm for computing QR decompositions whose bandwidth cost (communi…
The geometry of rank decompositions of matrix multiplication II: matrices
Grey Ballard, Christian Ikenmeyer, J. M. Landsberg +1
This is the second in a series of papers on rank decompositions of the matrix multiplication tensor. We present new rank decompositions for the matrix multiplicati…