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20242026
most citedSuccessive randomized compression: A randomized algorithm for the compressed MPO-MPS product

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math.NA2025

Make the most of what you have: Resource-efficient randomized algorithms for matrix computations

Ethan N. Epperly

In recent years, randomized algorithms have established themselves as fundamental tools in computational linear algebra, with applications in scientific computing, machine learning…

cs.DS2025

Does block size matter in randomized block Krylov low-rank approximation?

Tyler Chen, Ethan N. Epperly, Raphael A. Meyer +2

We study the problem of computing a rank- approximation of a matrix using randomized block Krylov iteration. Prior work has shown that, for block size or , a $(1…

math.NA2025

Robust, randomized preconditioning for kernel ridge regression

Mateo Díaz, Mateo Díaz, Ethan N. Epperly +3

We investigate preconditioned conjugate gradient methods for kernel ridge regression (KRR) problems with a moderate to large number of data points (). We dev…

cs.DS2025

Faster Linear Algebra Algorithms with Structured Random Matrices

Chris Camaño, Ethan N. Epperly, Raphael A. Meyer +1

To achieve the greatest possible speed, practitioners regularly implement randomized algorithms for low-rank approximation and least-squares regression with structured dimension re…

math.NA2025

Fast randomized least-squares solvers can be just as accurate and stable as classical direct solvers

Ethan N. Epperly, Maike Meier, Yuji Nakatsukasa

One of the greatest success stories of randomized algorithms for linear algebra has been the development of fast, randomized algorithms for highly overdetermined linear least-squar…

math.NA2025

Superfast direct inversion of the nonuniform discrete Fourier transform via hierarchically semi-separable least squares

Heather Wilber, Ethan N. Epperly, Alex H. Barnett

A direct solver is introduced for solving overdetermined linear systems involving nonuniform discrete Fourier transform matrices. Such matrices can be transformed into a Cauchy-lik…