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Fast, blind, and accurate: Tuning-free sparse regression with global linear convergence
Many algorithms for high-dimensional regression problems require the calibration of regularization hyperparameters. This, in turn, …
Claudio Mayrink Verdun, Oleh Melnyk, Felix Krahmer, Peter Jung
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 …
Oleh Melnyk
On gradient-based methods for ptychography
Oleh Melnyk
On connections between Amplitude Flow and Error Reduction for phase retrieval
In this paper, we consider two iterative algorithms for the phase retrieval problem: the well-known Error Reduction method and the …
Oleh Melnyk
Stable ptychographic phase retrieval via lost subspace completion
In this paper, we consider a special case of the phase retrieval problem called ptychography. Its is a popular technique of imaging, …
Anton Forstner, Felix Krahmer, Oleh Melnyk, Nada Sissouno
Phase retrieval from local correlation measurements with fixed shift length
Driven by ptychography, we consider an extension of the phase retrieval problem from local correlation measurements with shifts of length one to any fixed shift length. We provide an algorithm and recovery guarantees for the extended model.
Oleh Melnyk, Frank Filbir, Felix Krahmer
DOI
Phase retrieval from local correlation measurements with fixed shift length (OSA2019)
Motivated by applications in ptychography, we generalize a recent method for phase retrieval from local correlation measurements with …
Oleh Melnyk, Frank Filbir, Felix Krahmer
DOI