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02/15/2023
Randomized Orthogonal Projection Methods for Krylov Subspace Solvers
Randomized orthogonal projection methods (ROPMs) can be used to speed up...
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01/29/2023
Fast Exact Leverage Score Sampling from Khatri-Rao Products with Applications to Tensor Decomposition
We present a data structure to randomly sample rows from the Khatri-Rao ...
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10/24/2022
Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry
We introduce two new approximation methods for the numerical evaluation ...
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10/20/2022
Block subsampled randomized Hadamard transform for low-rank approximation on distributed architectures
This article introduces a novel structured random matrix composed blockw...
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07/21/2022
Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation
Multiple Tensor-Times-Matrix (Multi-TTM) is a key computation in algorit...
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05/26/2022
Tight Memory-Independent Parallel Matrix Multiplication Communication Lower Bounds
Communication lower bounds have long been established for matrix multipl...
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02/10/2022
A Directional Equispaced interpolation-based Fast Multipole Method for oscillatory kernels
Fast Multipole Methods (FMMs) based on the oscillatory Helmholtz kernel ...
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11/29/2021
Randomized block Gram-Schmidt process for solution of linear systems and eigenvalue problems
We propose a block version of the randomized Gram-Schmidt process for co...
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11/10/2020
Randomized Gram-Schmidt process with application to GMRES
A randomized Gram-Schmidt algorithm is developed for orthonormalization ...
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10/01/2019
An improved analysis and unified perspective on deterministic and randomized low rank matrix approximations
We introduce a Generalized LU-Factorization (GLU) for low-rank matrix ap...
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05/14/2018