"On convergence of Ptychographic Iterative Engine for STFT phase retrieval"Melnyk, OlehWe consider a recovery from ptychographic measurements also known as the Short-Time Fourier Transform (STFT) phase retrieval. That is the unknown object of interest has to be reconstructed from as a set of diffraction patterns resulting from a series of localized illuminations. In this paper we study Ptychographic Iterative Engine (PIE), a popular iterative algorithm among practitioners, which uses the measurements corresponding to a single illumination at the time. We show that PIE is the stochastic gradient descent applied to the amplitude-based squared loss and derive its sublinear convergence guarantees. |
| http://univie.ac.at/projektservice-mathematik/e/talks/ICCHA2022_Melnyk_2022-04_oleh_melnyk_ICCHA2022.pdf |
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