7 citations · 15 across the 5 of their papers we have counts for
5 papers
Protecting the Texas power grid from tropical cyclones: Increasing resilience by protecting critical lines
Julian Stürmer, Anton Plietzsch, Thomas Vogt +5
The Texan electric network in the Gulf Coast of the United States is frequently hit by Tropical Cyclones (TC) causing widespread power outages, a risk that is expected to substanti…
On the Connection between Dynamical Optimal Transport and Functional Lifting
Thomas Vogt, Roland Haase, Danielle Bednarski +1
Functional lifting methods provide a tool for approximating solutions of difficult non-convex problems by embedding them into a larger space. In this work, we investigate a mathema…
Lifting methods for manifold-valued variational problems
Thomas Vogt, Evgeny Strekalovskiy, Daniel Cremers +1
Lifting methods allow to transform hard variational problems such as segmentation and optical flow estimation into convex problems in a suitable higher-dimensional space. The lifte…
Functional Liftings of Vectorial Variational Problems with Laplacian Regularization
Thomas Vogt, Jan Lellmann
We propose a functional lifting-based convex relaxation of variational problems with Laplacian-based second-order regularization. The approach rests on ideas from the calibration m…
Measure-Valued Variational Models with Applications to Diffusion-Weighted Imaging
Thomas Vogt, Jan Lellmann
We develop a general mathematical framework for variational problems where the unknown function assumes values in the space of probability measures on some metric space. We study w…