4 papers
High-Quality Tomographic Image Reconstruction Integrating Neural Networks and Mathematical Optimization
Anuraag Mishra, Andrea Gilch, Benjamin Apeleo Zubiri +2
In this work, we develop a novel technique for reconstructing images from projection-based nano- and microtomography. Our contribution focuses on enhancing reconstruction quality,…
Improving reconstructions in nanotomography for homogeneous materials via mathematical optimization
Sebastian Kreuz, Benjamin Apeleo Zubiri, Silvan Englisch +5
Compressed sensing is an image reconstruction technique to achieve high-quality results from limited amount of data. In order to achieve this, it utilizes prior knowledge about the…
A semidefinite programming hierarchy for covering problems in discrete geometry
Cordian Riener, Jan Rolfes, Frank Vallentin
In this paper we present a new semidefinite programming hierarchy for covering problems in compact metric spaces. Over the last years, these kind of hierarchies were developed prim…
A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions
J. Dienstbier, F. Liers, J. Rolfes
Single-level reformulations of (non-convex) distributionally robust optimization (DRO) problems are often intractable, as they contain semiinfinite dual constraints. Based on such…