On Binary Optimal Control in $H^s(0,T)$, $s < 1/2$

Authors: Manns, Paul, Surowiec, Thomas M.

Source: Comptes Rendus. Mathématique, Vol 361, Iss G9, Pp 1531-1540 (2023)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.507/; https://doaj.org/toc/1778-3569

Access URL: https://doaj.org/article/80e202ee847942acb3c7aa1a1c2a76de

Convergence of trust-region algorithms in compact metric spaces

Authors: Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 90C48

Access URL: http://arxiv.org/abs/2412.11991

Domain decomposition for integer optimal control with total variation regularization

Authors: Baraldi, Robert, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 49K30, 49Q15, 49Q20, 49M37

Access URL: http://arxiv.org/abs/2410.15672

McCormick envelopes in mixed-integer PDE-constrained optimization

Authors: Leyffer, Sven, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 49M20, 90C26

Access URL: http://arxiv.org/abs/2406.07891

Integer Optimal Control with Fractional Perimeter Regularization

Authors: Antil, Harbir, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 49M05, 49M25, 49Q20

Access URL: http://arxiv.org/abs/2404.04938

On Discrete Subproblems in Integer Optimal Control with Total Variation Regularization in Two Dimensions

Authors: Manns, Paul, Severitt, Marvin

Subject Terms: Mathematics - Optimization and Control, 90C11, 90C35, 49M37

Access URL: http://arxiv.org/abs/2403.09213

Discretization of Total Variation in Optimization with Integrality Constraints

Authors: Schiemann, Annika, Manns, Paul

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Optimization and Control, 65D18, 65K10, 49M25

Access URL: http://arxiv.org/abs/2403.08346

Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control

Authors: Manns, Paul, Nikolić, Vanja

Subject Terms: Mathematics - Optimization and Control, 49M05, 49M20, 49Q15

Access URL: http://arxiv.org/abs/2310.12478

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Non-uniform Grid Refinement for the Combinatorial Integral Approximation

Authors: Bestehorn, Felix, Hansknecht, Christoph, Kirches, Christian, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 49M20, 90C11

Access URL: http://arxiv.org/abs/2305.12846

Convergence of Successive Linear Programming Algorithms for Noisy Functions

Authors: Hansknecht, Christoph, Kirches, Christian, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 65K05, 90C30

Access URL: http://arxiv.org/abs/2302.07205

On Integer Optimal Control with Total Variation Regularization on Multi-dimensional Domains

Authors: Manns, Paul, Schiemann, Annika

Subject Terms: Mathematics - Optimization and Control, 49K30, 49Q15, 49M05, 49M37

Access URL: http://arxiv.org/abs/2212.12226

Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis

Authors: Hillbrecht, Sebastian, Manns, Paul, Meyer, Christian

Subject Terms: Mathematics - Optimization and Control, 49Q22, 90C08, 49J45

Access URL: http://arxiv.org/abs/2211.07287

Input Regularization for Integer Optimal Control in BV with Applications to Control of Poroelastic and Poroviscoelastic Systems

Authors: Bociu, Lorena, Manns, Paul, Severitt, Marvin, Strikwerda, Sarah

Source: Journal of Nonsmooth Analysis and Optimization, Volume 5, Original research articles (April 29, 2024) jnsao:10529

Subject Terms: Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2210.09564

Efficient Solution of Discrete Subproblems Arising in Integer Optimal Control with Total Variation Regularization

Authors: Severitt, Marvin, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 90C27, 49M37

Access URL: http://arxiv.org/abs/2206.01642

On Convergence of Binary Trust-Region Steepest Descent

Authors: Manns, Paul, Hahn, Mirko, Kirches, Christian, Leyffer, Sven, Sager, Sebastian

Source: Journal of Nonsmooth Analysis and Optimization, Volume 4, Original research articles (July 25, 2023) jnsao:10164

Subject Terms: Mathematics - Optimization and Control, 49J45, 49M05, 90C30

Access URL: http://arxiv.org/abs/2202.07934

A switching cost aware rounding method for relaxations of mixed-integer optimal control problems

Authors: Bestehorn, Felix, Hansknecht, Christoph, Kirches, Christian, Manns, Paul

Source: 2019 IEEE 58th Conference on Decision and Control (CDC) Decision and Control (CDC), 2019 IEEE 58th Conference on. :7134-7139 Dec, 2019

Relation: 2019 IEEE 58th Conference on Decision and Control (CDC)

A simplified Newton method to generate snapshots for POD models of semilinear optimal control problems

Authors: Manns, Paul, Ulbrich, Stefan

Subject Terms: Mathematics - Optimization and Control, Mathematics - Numerical Analysis, 65M60, 35K20

Access URL: http://arxiv.org/abs/2108.01983

Sequential Linear Integer Programming for Integer Optimal Control with Total Variation Regularization

Authors: Leyffer, Sven, Manns, Paul

Subject Terms: Mathematics - Optimization and Control, 49M05, 90C10

Access URL: http://arxiv.org/abs/2106.13453