4 papers
Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients
Jonas Bresch, Oleh Melnyk, Martin Schoen +1
The maximization of the (generalized) Rayleigh quotient is a central problem in numerical linear algebra. Conventional algorithms for its computation typically rely on matrix-adjoi…
Eigenstructure Analysis of Bloch Wave and Multislice Formulations for Dynamical Scattering in Transmission Electron Microscopy
Arya Bangun, Oleh Melnyk, Benjamin März
We investigate the eigenstructure of matrix formulations used for modeling scattering processes within materials in transmission electron microscopy. Dynamical scattering is crucia…
Unsupervised Ground Metric Learning
Janis Auffenberg, Jonas Bresch, Oleh Melnyk +1
Data classification without access to labeled samples remains a challenging problem. It usually depends on an appropriately chosen distance between features, a topic addressed in m…
Phasebook: A Survey of Selected Open Problems in Phase Retrieval
Marc Allain, Selin Aslan, Wim Coene +13
Phase retrieval is an inverse problem that, on one hand, is crucial in many applications across imaging and physics, and, on the other hand, leads to deep research questions in the…