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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…
Injectivity of Multi-window Gabor Phase Retrieval
Palina Salanevich
In many signal processing problems arising in practical applications, we wish to reconstruct an unknown signal from its phaseless measurements with respect to a frame. This inverse…
On Graph Uncertainty Principle and Eigenvector Delocalization
Elizaveta Rebrova, Palina Salanevich
Uncertainty principles present an important theoretical tool in signal processing, as they provide limits on the time-frequency concentration of a signal. In many real-world applic…