Publications

Oleh Melnyk (2025). Convergence properties of ePIE and stochastic gradient methods for blind ptychography. Analysis and Applications.

Arya Bangun, Oleh Melnyk, Benjamin März (2024). Eigenstructure Analysis of Bloch Wave and Multislice Matrix Formulations for Dynamical Scattering in Transmission Electron Microscopy.

Claudio Mayrink Verdun, Oleh Melnyk, Felix Krahmer, Peter Jung (2024). Fast, blind, and accurate: Tuning-free sparse regression with global linear convergence. Proceedings of Thirty Seventh Conference on Learning Theory.

Oleh Melnyk, Michael Quellmalz, Gabriele Steidl, Noah Jaitner, Jakob Jordan, Ingolf Sack (2024). Time-Harmonic Optical Flow with Applications in Elastography. Inverse Problems, Vol. 40, No. 12, 125026.

Fatima Antarou Ba, Oleh Melnyk, Christian Wald, Gabriele Steidl (2024). Sparse additive function decompositions facing basis transforms. Foundations of Data Science.

Oleh Melnyk, Patricia Römer (2024). Background Removal for Ptychography via Wigner Distribution Deconvolution. SIAM Journal on Imaging Science, Vol. 17, No. 3, pp. 1978–2014.

Frank Filbir, Oleh Melnyk (2023). Image Recovery for Blind Polychromatic Ptychography. SIAM Journal on Imaging Sciences, Volume 16, Number 3, 1308-1337, 2023.

Oleh Melnyk (2023). Phase Retrieval from Short-Time Fourier Measurements and Applications to Ptychography.

Oleh Melnyk (2022). Stochastic Amplitude Flow for phase retrieval, its convergence and doppelgängers.

Arya Bangun, Oleh Melnyk, Benjamin März, Benedikt Diederichs, Alexander Clausen, Dieter Weber, Frank Filbir, Knut Müller-Caspary (2022). Inverse Multislice Ptychography by Layer-wise Optimisation and Sparse Matrix Decomposition. IEEE Transactions on Computational Imaging, vol. 8, pp. 996-1011, 2022.

Oleh Melnyk (2022). On convergence of Ptychographic Iterative Engine for STFT phase retrieval. The 8th International Conference on Computational Harmonic Analysis 2022 (ICCHA2022).

Oleh Melnyk (2022). On connections between Amplitude Flow and Error Reduction for phase retrieval and ptychography. Sampling Theory, Signal Processing, and Data Analysis, Volume 20, Article number: 16.

Felix Krahmer, Christian Kümmerle, Oleh Melnyk (2022). On the robustness of noise-blind low-rank recovery from rank-one measurements. Linear Algebra and its Applications, Volume 652, Pages 37-81.

Oleh Melnyk (2022). On gradient-based methods for ptychography. Curves and Surfaces 2022.

Oleh Melnyk (2021). On connections between Amplitude Flow and Error Reduction for phase retrieval. Online International Conference on Computational Harmonic Analysis (Online-ICCHA2021).

Frank Filbir, Felix Krahmer, Oleh Melnyk (2021). On Recovery Guarantees for Angular Synchronization. Journal of Fourier Analysis and Applications, Volume 27, Article number: 31.

Anton Forstner, Felix Krahmer, Oleh Melnyk, Nada Sissouno (2021). Stable ptychographic phase retrieval via lost subspace completion. 28th European Signal Processing Conference, p. 975, ISBN: 978-9-0827-9705-3.

Anton Forstner, Felix Krahmer, Oleh Melnyk, Nada Sissouno (2020). Well-conditioned ptychographic imaging via lost subspace completion. Inverse Problems, Volume 36, Number 10.

Oleh Melnyk, Frank Filbir, Felix Krahmer (2019). Phase retrieval from local correlation measurements with fixed shift length. 2019 13th International conference on Sampling Theory and Applications (SampTA).

Oleh Melnyk, Frank Filbir, Felix Krahmer (2019). Phase retrieval from local correlation measurements with fixed shift length (OSA2019). OSA Technical Digest (Optica Publishing Group, 2019), paper MTu4D.3.