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arxiv: 2505.15351 · v1 · pith:OCAF74AInew · submitted 2025-05-21 · 💻 cs.IT · math.IT· math.OC

Phasebook: A Survey of Selected Open Problems in Phase Retrieval

Marc Allain , Selin Aslan , Wim Coene , Sjoerd Dirksen , Jonathan Dong , Julien Flamant , Mark Iwen , Felix Krahmer
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Tristan van Leeuwen Oleh Melnyk Andreas Menzel Allard P. Mosk Viktor Nikitin Gerlind Plonka Palina Salanevich Matthias Wellershoff
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classification 💻 cs.IT math.ITmath.OC
keywords phaseretrievalapplicationshandopenproblemproblemssurvey
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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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On a dense set of functions determined by sampled Gabor magnitude

    math.CV 2025-07 unverdicted novelty 6.0

    Uniqueness holds for phase retrieval of entire functions of exponential type from sampled Gabor magnitudes on dense shifted lattices.