3 papers
math.NA2026
Transformer Causality Regularization for Dynamic Inverse Problems
Gesa Sarnighausen, Anne Wald, Andreas Hauptmann
We study the concept of including the causality principle as regularizer into the solution of linear time-dependent inverse problems. This is achieved by combining transformer-base…
math.NA2025
Regularization for time-dependent inverse problems: Geometry of Lebesgue-Bochner spaces and algorithms
Gesa Sarnighausen, Thorsten Hohage, Martin Burger +2
We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover a function from given observations…
math.NA2024
Traction force microscopy for linear and nonlinear elastic materials as a parameter identification inverse problem
Gesa Sarnighausen, Tram Thi Ngoc Nguyen, Thorsten Hohage +5
Traction force microscopy is a method widely used in biophysics and cell biology to determine forces that biological cells apply to their environment. In the experiment, the cells…