Search Results for author: Ethan N. Epperly

Found 4 papers, 3 papers with code

Kernel quadrature with randomly pivoted Cholesky

1 code implementation6 Jun 2023 Ethan N. Epperly, Elvira Moreno

This paper presents new quadrature rules for functions in a reproducing kernel Hilbert space using nodes drawn by a sampling algorithm known as randomly pivoted Cholesky.

Robust, randomized preconditioning for kernel ridge regression

1 code implementation24 Apr 2023 Mateo Díaz, Ethan N. Epperly, Zachary Frangella, Joel A. Tropp, Robert J. Webber

This paper introduces two randomized preconditioning techniques for robustly solving kernel ridge regression (KRR) problems with a medium to large number of data points ($10^4 \leq N \leq 10^7$).

regression

Efficient error and variance estimation for randomized matrix computations

no code implementations13 Jul 2022 Ethan N. Epperly, Joel A. Tropp

Randomized matrix algorithms have become workhorse tools in scientific computing and machine learning.

Randomly pivoted Cholesky: Practical approximation of a kernel matrix with few entry evaluations

1 code implementation13 Jul 2022 Yifan Chen, Ethan N. Epperly, Joel A. Tropp, Robert J. Webber

The randomly pivoted partial Cholesky algorithm (RPCholesky) computes a factorized rank-k approximation of an N x N positive-semidefinite (psd) matrix.

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