6 papers
Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis
Sebastian Hillbrecht, Paul Manns, Christian Meyer
This paper is concerned with an optimization problem that is constrained by the Kantorovich optimal transportation problem. This bilevel optimization problem can be reformulated as…
A simplified Newton method to generate snapshots for POD models of semilinear optimal control problems
Paul Manns, Stefan Ulbrich
In PDE-constrained optimization, proper orthogonal decomposition (POD) provides a surrogate model of a (potentially expensive) PDE discretization, on which optimization iterations…
Relaxed multibang regularization for the combinatorial integral approximation
Paul Manns
Multibang regularization and combinatorial integral approximation decompositions are two actively researched techniques for integer optimal control. We consider a class of polyhedr…
Quadratically regularized optimal transport
Dirk A. Lorenz, Paul Manns, Christian Meyer
We investigate the problem of optimal transport in the so-called Kantorovich form, i.e. given two Radon measures on two compact sets, we seek an optimal transport plan which is ano…
Optimizing wearable assistive devices with neuromuscular models and optimal control
Manish Sreenivasa, Matthew Millard, Paul Manns +1
The coupling of human movement dynamics with the function and design of wearable assistive devices is vital to better understand the interaction between the two. Advanced neuromusc…
Motion optimization and parameter identification for a human and lower-back exoskeleton model
Paul Manns, Manish Sreenivasa, Matthew Millard +1
Designing an exoskeleton to reduce the risk of low-back injury during lifting is challenging. Computational models of the human-robot system coupled with predictive movement simula…