research
∙
06/08/2023
Quantum computing algorithms for inverse problems on graphs and an NP-complete inverse problem
We consider an inverse problem for a finite graph (X,E) where we are giv...
share
research
∙
06/06/2023
Globally injective and bijective neural operators
Recently there has been great interest in operator learning, where netwo...
research
∙
04/24/2023
A Transfer Principle: Universal Approximators Between Metric Spaces From Euclidean Universal Approximators
We build universal approximators of continuous maps between arbitrary Po...
research
∙
10/02/2022
Deep Invertible Approximation of Topologically Rich Maps between Manifolds
How can we design neural networks that allow for stable universal approx...
research
∙
03/17/2022
An inverse problem for a semi-linear wave equation: a numerical study
We consider an inverse problem of recovering a potential associated to a...
research
∙
10/08/2021
Universal Joint Approximation of Manifolds and Densities by Simple Injective Flows
We analyze neural networks composed of bijective flows and injective exp...
research
∙
06/28/2021
Material-separating regularizer for multi-energy X-ray tomography
Dual-energy X-ray tomography is considered in a context where the target...
research
∙
06/11/2021
Learning the optimal regularizer for inverse problems
In this work, we consider the linear inverse problem y=Ax+ϵ, where A X→ ...
research
∙
02/28/2021
Random tree Besov priors – Towards fractal imaging
We propose alternatives to Bayesian a priori distributions that are freq...
research
∙
06/15/2020
Globally Injective ReLU Networks
We study injective ReLU neural networks. Injectivity plays an important ...
research
∙
06/02/2020
Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography
We propose a novel convolutional neural network (CNN), called ΨDONet, de...
research
∙
12/23/2019
Deep learning architectures for nonlinear operator functions and nonlinear inverse problems
We develop a theoretical analysis for special neural network architectur...
research
∙
10/11/2019
