78 citations · 215 across the 52 of their papers we have counts for
9 papers · 1 filter
Dispersion-corrected compact finite difference discretizations for the elastic Helmholtz equation in two and three dimensions
Rachel Yovel, Eli Turkel, Eran Treister
We develop a family of compact, dispersion-corrected marker-and-cell (MAC)-based finite-difference discretizations for the elastic Helmholtz equation. While dispersion correction i…
Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
Rachel Yovel, Eran Treister
We present a convergent and scalable multigrid solver for high-frequency Helmholtz equations. Standard multigrid methods do not converge for high-frequency Helmholtz problems, and…
Vanka-smoothed shifted Laplacian multigrid preconditioners for the Helmholtz equations
Rachel Yovel, Yunhui He, Eran Treister
We present an improved multigrid preconditioner for the acoustic Helmholtz equation with enhanced scalability. Standard multigrid fails to converge for the Helmholtz equation, and…
A block-acoustic preconditioner for the elastic Helmholtz equation
Rachel Yovel, Eran Treister
We present a novel block-preconditioner for the elastic Helmholtz equation, based on a reduction to acoustic Helmholtz equations. Both versions of the Helmholtz equations are chall…
LFA-tuned matrix-free multigrid method for the elastic Helmholtz equation
Rachel Yovel, Eran Treister
We present an efficient matrix-free geometric multigrid method for the elastic Helmholtz equation, and a suitable discretization. Many discretization methods had been considered in…
pISTA: preconditioned Iterative Soft Thresholding Algorithm for Graphical Lasso
Gal Shalom, Eran Treister, Irad Yavneh
We propose a novel quasi-Newton method for solving the sparse inverse covariance estimation problem also known as the graphical least absolute shrinkage and selection operator (GLA…
Multigrid-augmented deep learning preconditioners for the Helmholtz equation
Yael Azulay, Eran Treister
In this paper, we present a data-driven approach to iteratively solve the discrete heterogeneous Helmholtz equation at high wavenumbers. In our approach, we combine classical itera…
Low-Cost Parameterizations of Deep Convolutional Neural Networks
Eran Treister, Lars Ruthotto, Michal Sharoni +2
Convolutional Neural Networks (CNNs) filter the input data using a series of spatial convolution operators with compactly supported stencils and point-wise nonlinearities. Commonly…
A multilevel framework for sparse optimization with application to inverse covariance estimation and logistic regression
Eran Treister, Javier S. Turek, Irad Yavneh
Solving l1 regularized optimization problems is common in the fields of computational biology, signal processing and machine learning. Such l1 regularization is utilized to find sp…