15 citations · 21 across the 2 of their papers we have counts for
7 papers
Computing solutions of Schrödinger equations on unbounded domains- On the brink of numerical algorithms
Simon Becker, Anders Hansen
We address the open problem of determining which classes of time-dependent linear Schrödinger equations and focusing and defocusing cubic and quintic non-linear Schrödinger equatio…
Compressed Sensing MRI With Variable Density Averaging (CS-VDA) Outperforms Full Sampling At Low SNR
Jasper Schoormans, Gustav J. Strijkers, Anders C. Hansen +2
We investigated whether a combination of k-space undersampling and variable density averaging enhances image quality for low-SNR MRI acquisitions. We implemented 3D Cartesian k-spa…
Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing
Laura Thesing, Anders Christian Hansen
Due to the many applications in Magnetic Resonance Imaging (MRI), Nuclear Magnetic Resonance (NMR), radio interferometry, helium atom scattering etc., the theory of compressed sens…
On the stable sampling rate for binary measurements and wavelet reconstruction
Anders Christian Hansen, Laura Thesing
This paper is concerned with the problem of reconstructing an infinite-dimensional signal from a limited number of linear measurements. In particular, we show that for binary measu…
Linear reconstructions and the analysis of the stable sampling rate
Laura Thesing, Anders Christian Hansen
The theory of sampling and the reconstruction of data has a wide range of applications and a rich collection of techniques. For many methods a core problem is the estimation of the…
What do AI algorithms actually learn? - On false structures in deep learning
Laura Thesing, Vegard Antun, Anders C. Hansen
There are two big unsolved mathematical questions in artificial intelligence (AI): (1) Why is deep learning so successful in classification problems and (2) why are neural nets bas…