32 citations · 69 across the 32 of their papers we have counts for
6 papers · 1 filter
Graph Neural Regularizers for PDE Inverse Problems
William Lauga, James Rowbottom, Alexander Denker +3
We present a framework for solving a broad class of ill-posed inverse problems governed by partial differential equations (PDEs), where the target coefficients of the forward opera…
Data-driven approaches to inverse problems
Carola-Bibiane Schönlieb, Zakhar Shumaylov
Inverse problems are concerned with the reconstruction of unknown physical quantities using indirect measurements and are fundamental across diverse fields such as medical imaging,…
Stochastic Multiresolution Image Sketching for Inverse Imaging Problems
Alessandro Perelli, Carola-Bibiane Schonlieb, Matthias J. Ehrhardt
A challenge in high-dimensional inverse problems is developing iterative solvers to find the accurate solution of regularized optimization problems with low computational cost. An…
Nested Bregman Iterations for Decomposition Problems
Tobias Wolf, Derek Driggs, Kostas Papafitsoros +2
We consider the task of image reconstruction while simultaneously decomposing the reconstructed image into components with different features. A commonly used tool for this is a va…
PDE-Inspired Algorithms for Semi-Supervised Learning on Point Clouds
Oliver M. Crook, Tim Hurst, Carola-Bibiane Schönlieb +2
Given a data set and a subset of labels the problem of semi-supervised learning on point clouds is to extend the labels to the entire data set. In this paper we extend the labels b…
Higher-Order Total Directional Variation: Imaging Applications
Simone Parisotto, Jan Lellmann, Simon Masnou +1
We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Ge…