activity
20092025
most citedMinimizing Communication in Linear Algebra

282 citations · 955 across the 31 of their papers we have counts for

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Showing 2015Show all

5 papers · 1 filter

math.NA2015★ 134 cited

Parallel Tensor Compression for Large-Scale Scientific Data

Woody Austin, Grey Ballard, Tamara G. Kolda

As parallel computing trends towards the exascale, scientific data produced by high-fidelity simulations are growing increasingly massive. For instance, a simulation on a three-dim…

cs.DC2015★ 109 cited

Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication

Ariful Azad, Grey Ballard, Aydin Buluc +5

Sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high-performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. The s…

cs.DC2015

A High-Performance Parallel Algorithm for Nonnegative Matrix Factorization

Ramakrishnan Kannan, Grey Ballard, Haesun Park

Non-negative matrix factorization (NMF) is the problem of determining two non-negative low rank factors and , for the given input matrix , such that . NMF…

math.NA2015★ 2 cited

Improving the numerical stability of fast matrix multiplication

Grey Ballard, Austin R. Benson, Alex Druinsky +2

Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer scalar operations than the classical algorithm, have been considered primarily of theoreti…

cs.SI2015★ 17 cited

Diamond Sampling for Approximate Maximum All-pairs Dot-product (MAD) Search

Grey Ballard, Ali Pinar, Tamara G. Kolda +1

Given two sets of vectors, and , our problem is to find the top- dot products, i.e., the largest among…