Phasebook: A Survey of Selected Open Problems in Phase Retrieval

May 21, 2025 · The Cartographer · 🏛 Sampling Theory, Signal Processing, and Data Analysis

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"Title-pattern auto-detect: Phasebook: A Survey of Selected Open Problems in Phase Retrieval"

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Authors Marc Allain, Selin Aslan, Wim Coene, Sjoerd Dirksen, Jonathan Dong, Julien Flamant, Mark Iwen, Felix Krahmer, Tristan van Leeuwen, Oleh Melnyk, Andreas Menzel, Allard P. Mosk, Viktor Nikitin, Gerlind Plonka, Palina Salanevich, Matthias Wellershoff arXiv ID 2505.15351 Category cs.IT: Information Theory Cross-listed math.OC Citations 3 Venue Sampling Theory, Signal Processing, and Data Analysis Last Checked 4 days ago

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.