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Melnyk, O.

On connections between Amplitude Flow and Error Reduction for phase retrieval and ptychography.

Sampl. Theor. Signal Process. Data Anal. 20:16 (2022)
Verlagsversion DOI
Open Access Gold (Paid Option)
Creative Commons Lizenzvertrag
In this paper, we consider two iterative algorithms for the phase retrieval problem: the well-known Error Reduction method and the Amplitude Flow algorithm, which performs minimization of the amplitude-based squared loss via the gradient descent. We show that Error Reduction can be interpreted as a scaled gradient method applied to minimize the same amplitude-based squared loss, which allows to establish its convergence properties. Moreover, we show that for a class of measurement scenarios, such as ptychography, both methods have the same computational complexity and sometimes even coincide.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Amplitude Flow ; Error Reduction ; Phase Retrieval ; Ptychography
ISSN (print) / ISBN 2730-5716
e-ISSN 2730-5724
Zeitschrift Sampling Theory, Signal Processing, and Data Analysis
Quellenangaben Band: 20, Heft: 2, Seiten: , Artikelnummer: 16 Supplement: ,
Verlag Springer
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)