Phasebook: a survey of selected open problems in phase retrieval
Publication date
2025-12
Authors
Allain, Marc
Aslan, Selin
Coene, Wim
Dirksen, Sjoerd
Dong, Jonathan
Flamant, Julien
Iwen, Mark
Krahmer, Felix
van Leeuwen, T.
Melnyk, Oleh
Editors
Advisors
Supervisors
Document Type
Article
Metadata
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License
cc_by_nc_nd
Abstract
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 theoretical signal processing and applied harmonic analysis. This survey paper is an outcome of the recent workshop Phase Retrieval in Mathematics and Applications (PRiMA) (held on August 5–9 2024 at the Lorentz Center in Leiden, The Netherlands) that brought together experts working on theoretical and practical aspects of the phase retrieval problem with the purpose to formulate and explore essential open problems in the field.
Keywords
Generative priors, Inverse problem complexity, Phase retrieval, Ptychography, Quantization, Random matrices, Wigner distribution deconvilution, Analysis, Algebra and Number Theory, Signal Processing, Radiology Nuclear Medicine and imaging, Computational Mathematics
Citation
Allain, M, Aslan, S, Coene, W, Dirksen, S, Dong, J, Flamant, J, Iwen, M, Krahmer, F, Leeuwen, T V, Melnyk, O, Menzel, A, Mosk, A P, Nikitin, V, Salanevich, P, Plonka, G & Wellershoff, M 2025, 'Phasebook : a survey of selected open problems in phase retrieval', Sampling Theory, Signal Processing, and Data Analysis, vol. 23, no. 2, 23. https://doi.org/10.1007/s43670-025-00117-0