collaborators

6 papers

cs.LG2026

Optimal Reward Shaping: Autonomous Car Parking Case Study

Emre Özkaya, Nicolas R. Gauger

Designing effective reward functions for model-free reinforcement learning under non-holonomic constraints remains a persistent challenge, often resulting in severe local minima su…

math.OC2026

One-Shot Optimization with Additional Inequality Constraints

Lea Fischer, Nicolas R. Gauger, Lisa Kusch

The one-shot approach is a powerful simultaneous optimization framework for design tasks governed by computationally expensive steady-state systems. While previous formulations mai…

cs.MS2026

Algorithmic differentiation for domain specific languages in C++ with expression templates

Max Sagebaum, Nicolas R. Gauger

The application of operator overloading algorithmic differentiation (AD) to computer programs in order to compute the derivative is quite common. But, the replacement of the underl…

cs.MS2025

Adding complex numbers to expression template algorithmic differentiation tools

Max Sagebaum, Nicolas R. Gauger

Operator overloading algorithmic differentiation (AD) tools are usually only developed for floating-point values. Algorithmic optimization for, e.g., linear systems solvers or matr…

math.NA2025

Refined stability estimates for mixed problems by exploiting semi norm arguments

Nicolas Gauger, Alexander Linke, Christian Merdon

Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pres…

math.NA2024

Windowing Regularization Techniques for Unsteady Aerodynamic Shape Optimization

Steffen Schotthöfer, Beckett Y. Zhou, Tim Albring +1

Unsteady Aerodynamic Shape Optimization presents new challenges in terms of sensitivity analysis of time-dependent objective functions. In this work, we consider periodic unsteady…