43 citations · 58 across the 14 of their papers we have counts for
5 papers · 1 filter
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…