91 citations · 293 across the 30 of their papers we have counts for
6 papers · 1 filter
A data-driven approach to solving a 1D inverse scattering problem
Tristan van Leeuwen, Andreas Tataris
In this paper, we extend the ROM-based approach for inverse scattering with Neumann boundary conditions, introduced by Druskin at. al. (Inverse Problems 37, 2021), to the 1D Schr{ö…
WaRIance: wavefield reconstruction inversion with stochastic variable projection
Gabrio Rizzuti, Tristan van Leeuwen
We propose a variation on wavefield reconstruction inversion for seismic inversion, which takes advantage of randomized linear algebra as a way to overcome the typical limitations…
Relaxed regularization for linear inverse problems
Nick Luiken, Tristan van Leeuwen
We consider regularized least-squares problems of the form . Recently, Zheng et al., 2019, proposed an algorithm called…
Automatic alignment for three-dimensional tomographic reconstruction
Tristan van Leeuwen, Simon Maretzke, K. Joost Batenburg
In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles…
Fourier analysis of the CGMN method for solving the Helmholtz equation
Tristan van Leeuwen
The Helmholtz equation arises in many applications, such as seismic and medical imaging. These application are characterized by the need to propagate many wavelengths through an in…
Estimating Nuisance Parameters in Inverse Problems
Aleksandr Y. Aravkin, Tristan van Leeuwen
Many inverse problems include nuisance parameters which, while not of direct interest, are required to recover primary parameters. Structure present in these problems allows effici…