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On connections between Amplitude Flow and Error Reduction for phase retrieval and ptychography.
Sampl. Theor. Signal Process. Data Anal. 20:16 (2022)
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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Amplitude Flow ; Error Reduction ; Phase Retrieval ; Ptychography
ISSN (print) / ISBN
2730-5716
e-ISSN
2730-5724
Quellenangaben
Volume: 20,
Issue: 2,
Article Number: 16
Publisher
Springer
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)