3 papers
math.NA2025
Image reconstruction from structured subsampled 2D Fourier data
Gerlind Plonka, Anahita Riahi
In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we fo…
cs.IT2025
Phasebook: A Survey of Selected Open Problems in Phase Retrieval
Marc Allain, Selin Aslan, Wim Coene +13
Phase retrieval is an inverse problem that, on one hand, is crucial in many applications across imaging and physics, and, on the other hand, leads to deep research questions in the…
math.NA2022
Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models
Gerlind Plonka, Yannick Riebe, Yurii Kolomoitsev
We analyze the structure of a one-dimensional deep ReLU neural network (ReLU DNN) in comparison to the model of continuous piecewise linear (CPL) spline functions with arbitrary kn…