43 citations · 58 across the 14 of their papers we have counts for
15 papers
On Discrete Subproblems in Integer Optimal Control with Total Variation Regularization in Two Dimensions
Paul Manns, Marvin Severitt
We analyze integer linear programs which we obtain after discretizing two-dimensional subproblems arising from a trust-region algorithm for mixed integer optimal control problems w…
Non-uniform Grid Refinement for the Combinatorial Integral Approximation
Felix Bestehorn, Christoph Hansknecht, Christian Kirches +1
The combinatorial integral approximation (CIA) is a solution technique for integer optimal control problems. In order to regularize the solutions produced by CIA, one can minimize…
Convergence of Successive Linear Programming Algorithms for Noisy Functions
Christoph Hansknecht, Christian Kirches, Paul Manns
Gradient-based methods have been highly successful for solving a variety of both unconstrained and constrained nonlinear optimization problems. In real-world applications, such as…
On Integer Optimal Control with Total Variation Regularization on Multi-dimensional Domains
Paul Manns, Annika Schiemann
We consider optimal control problems with integer-valued controls and a total variation regularization penalty in the objective on domains of dimension two or higher. The penalty y…
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…
Input Regularization for Integer Optimal Control in BV with Applications to Control of Poroelastic and Poroviscoelastic Systems
Lorena Bociu, Paul Manns, Marvin Severitt +1
We revisit a class of integer optimal control problems for which a trust-region method has been proposed and analyzed in arXiv:2106.13453v3 [math.OC]. While the algorithm proposed…
Efficient Solution of Discrete Subproblems Arising in Integer Optimal Control with Total Variation Regularization
Marvin Severitt, Paul Manns
We consider a class of integer linear programs (IPs) that arise as discretizations of trust-region subproblems of a trust-region algorithm for the solution of control problems, whe…
On Convergence of Binary Trust-Region Steepest Descent
Paul Manns, Mirko Hahn, Christian Kirches +2
Binary trust-region steepest descent (BTR) and combinatorial integral approximation (CIA) are two recently investigated approaches for the solution of optimization problems with di…
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…
Sequential Linear Integer Programming for Integer Optimal Control with Total Variation Regularization
Sven Leyffer, Paul Manns
We propose a trust-region method that solves a sequence of linear integer programs to tackle integer optimal control problems regularized with a total variation penalty. The total…
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…
Sequential Linearization Method for Bound-Constrained Mathematical Programs with Complementarity Constraints
Christian Kirches, Jeffrey Larson, Sven Leyffer +1
We propose an algorithm for solving bound-constrained mathematical programs with complementarity constraints on the variables. Each iteration of the algorithm involves solving a li…
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…