From the 1 of 6 linked papers with an AI index.
6 papers
Robust lane-change intention anticipation under uncertainty based on a recursive Bayesian filtering approach
Dilara Kılınç, Hendrik Kleikamp, Bruno Viti
In this paper we discuss and analyze a method for lane-change intention anticipation of drivers on highways based on kinematic features and surrounding observations. The approach m…
Data-Driven Model Order Reduction with pyMOR
Hendrik Kleikamp, Petar MlinariÄ, Stephan Rave +1
pyMOR is a free and open-source software library of model order reduction algorithms for the Python programming language. Designed with classical model-based reduction methods for…
Overcoming slow Kolmogorov width decay in parametric optimal control via neural network surrogates
Hendrik Kleikamp, Martin Lazar, Juan Ricardo Muñoz
The paper investigates parametric linear‑quadratic optimal control problems where the optimal adjoint state varies slowly across parameters, and introduces a U‑Net neural network s…
Kernel Methods in the Deep Ritz framework: Theory and practice
Hendrik Kleikamp, Tizian Wenzel
In this contribution, kernel approximations are applied as ansatz functions within the Deep Ritz method. This allows to approximate weak solutions of elliptic partial differential…
Towards a Knowledge Graph for Models and Algorithms in Applied Mathematics
Björn Schembera, Frank Wübbeling, Hendrik Kleikamp +8
Mathematical models and algorithms are an essential part of mathematical research data, as they are epistemically grounding numerical data. In order to represent models and algorit…
Adaptive Model Hierarchies for Multi-Query Scenarios
Hendrik Kleikamp, Mario Ohlberger
In this contribution we present an abstract framework for adaptive model hierarchies together with several instances of hierarchies for specific applications. The hierarchy is part…