7 papers
Robustness to noise and erasures of Gabor frames in finite dimensions
Palina Salanevich, Nigel Q. D. Strachan
In this paper, we investigate the robustness of structured frames to measurement noise and erasures, with the focus on Gabor frames with arbitrary sets of time-frequency…
On best approximation by multivariate ridge functions with applications to generalized translation networks
Paul Geuchen, Palina Salanevich, Olov Schavemaker +1
In this paper, we prove sharp upper and lower bounds for the approximation of Sobolev functions by sums of multivariate ridge functions, i.e., for approximation by functions of the…
Efficient uniform approximation using Random Vector Functional Link networks
Palina Salanevich, Olov Schavemaker
A Random Vector Functional Link (RVFL) network is a depth-2 neural network with random inner weights and biases. Only the outer weights of such an architecture are to be learned, s…
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…
Spectral method for low-dose Poisson and Bernoulli phase retrieval
Sjoerd Dirksen, Felix Krahmer, Patricia Römer +1
We consider the problem of phaseless reconstruction from measurements with Poisson or Bernoulli distributed noise. This is of particular interest in biological imaging experiments…
PtyGenography: using generative models for regularization of the phase retrieval problem
Selin Aslan, Tristan van Leeuwen, Allard Mosk +1
In phase retrieval and similar inverse problems, the stability of solutions across different noise levels is crucial for applications. One approach to promote it is using signal pr…