Talk "On convergence of Ptychographic Iterative Engine for STFT phase retrieval"


We 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.

Sep 12, 2022 2:30 PM — 3:00 PM
Ingolstadt, Germany
Oleh Melnyk
Oleh Melnyk
Postdoctoral researcher

Hi! I am mainly interested in phase retrieval and related topics.