JabRef references

Antil H and Manns P (2024), "Integer optimal control with fractional perimeter regularization", Applied Mathematics and Optimization.

[BibTeX] [URL]

BibTeX:

@article{antil2024integer,
  author = {Antil, Harbir and Manns, Paul},
  title = {Integer optimal control with fractional perimeter regularization},
  journal = {Applied Mathematics and Optimization},
  year = {2024},
  note = {(accepted, forthcoming)},
  url = {https://arxiv.org/abs/2404.04938}
}

Bociu L, Manns P, Severitt M and Strikwerda S (2024), "Input Regularization for Integer Optimal Control in BV with Applications to Control of Poroelastic and Poroviscoelastic Systems", Journal of Nonsmooth Analysis and Optimization. Vol. 5

[BibTeX] [URL]

BibTeX:

@article{bociu2024input,
  author = {Bociu, Lorena and Manns, Paul and Severitt, Marvin and Strikwerda, Sarah},
  title = {Input Regularization for Integer Optimal Control in BV with Applications to Control of Poroelastic and Poroviscoelastic Systems},
  journal = {Journal of Nonsmooth Analysis and Optimization},
  year = {2024},
  volume = {5},
  url = {https://arxiv.org/abs/2210.09564}
}

Hansknecht C, Kirches C and Manns P (2024), "Convergence of successive linear programming algorithms for noisy functions", Computational Optimization and Applications. Vol. 88, pp. 567-601. Springer.

[BibTeX] [DOI] [URL]

BibTeX:

@article{hansknecht2024convergence,
  author = {Hansknecht, Christoph and Kirches, Christian and Manns, Paul},
  title = {Convergence of successive linear programming algorithms for noisy functions},
  journal = {Computational Optimization and Applications},
  publisher = {Springer},
  year = {2024},
  volume = {88},
  pages = {567--601},
  url = {https://arxiv.org/abs/2302.07205},
  doi = {10.48550/arXiv.2302.07205}
}

Hillbrecht S, Manns P and Meyer C (2024), "Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis", Applied Mathematics and Optimization.

[BibTeX] [URL]

BibTeX:

@article{hillbrecht2022bilevel,
  author = {Hillbrecht, Sebastian and Manns, Paul and Meyer, Christian},
  title = {Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis},
  journal = {Applied Mathematics and Optimization},
  year = {2024},
  note = {(accepted, forthcoming)},
  url = {https://arxiv.org/abs/2211.07287}
}

Leyffer S and Manns P (2024), "McCormick envelopes in mixed-integer PDE-constrained optimization", arXiv preprint arXiv:2406.07891.

[BibTeX] [URL]

BibTeX:

@article{leyffer2024mccormick,
  author = {Leyffer, Sven and Manns, Paul},
  title = {McCormick envelopes in mixed-integer PDE-constrained optimization},
  journal = {arXiv preprint arXiv:2406.07891},
  year = {2024},
  url = {https://arxiv.org/abs/2406.07891}
}

Manns P and Severitt M (2024), "On Discrete Subproblems in Integer Optimal Control with Total Variation Regularization in Two Dimensions", arXiv preprint arXiv:2403.09213.

[BibTeX] [URL]

BibTeX:

@article{manns2024discrete,
  author = {Manns, Paul and Severitt, Marvin},
  title = {On Discrete Subproblems in Integer Optimal Control with Total Variation Regularization in Two Dimensions},
  journal = {arXiv preprint arXiv:2403.09213},
  year = {2024},
  url = {https://arxiv.org/abs/2403.09213}
}

Schiemann A and Manns P (2024), "Discretization of Total Variation in Optimization with Integrality Constraints", arXiv preprint arXiv:2403.08346.

[BibTeX] [URL]

BibTeX:

@article{schiemann2024discretization,
  author = {Schiemann, Annika and Manns, Paul},
  title = {Discretization of Total Variation in Optimization with Integrality Constraints},
  journal = {arXiv preprint arXiv:2403.08346},
  year = {2024},
  url = {https://arxiv.org/abs/2403.08346}
}

Bestehorn F, Hansknecht C, Kirches C and Manns P (2023), "Non-uniform Grid Refinement for the Combinatorial Integral Approximation", arXiv preprint arXiv:2305.12846.

[BibTeX] [URL]

BibTeX:

@article{bestehorn2023non,
  author = {Bestehorn, Felix and Hansknecht, Christoph and Kirches, Christian and Manns, Paul},
  title = {Non-uniform Grid Refinement for the Combinatorial Integral Approximation},
  journal = {arXiv preprint arXiv:2305.12846},
  year = {2023},
  url = {https://arxiv.org/abs/2305.12846}
}

Manns P, Hahn M, Kirches C, Leyffer S and Sager S (2023), "On convergence of binary trust-region steepest descent", Journal of Nonsmooth Analysis and Optimization. Vol. 4(2)

[BibTeX] [DOI] [URL]

BibTeX:

@article{manns2022convergence,
  author = {Manns, Paul and Hahn, Mirko and Kirches, Christian and Leyffer, Sven and Sager, Sebastian},
  title = {On convergence of binary trust-region steepest descent},
  journal = {Journal of Nonsmooth Analysis and Optimization},
  year = {2023},
  volume = {4},
  number = {2},
  url = {https://arxiv.org/abs/2202.07934},
  doi = {10.46298/jnsao-2023-10164}
}

Manns P and Nikolić V (2023), "Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control", arXiv preprint arXiv:2310.12478.

[BibTeX] [URL]

BibTeX:

@article{manns2023homotopy,
  author = {Manns, Paul and Nikolić, Vanja},
  title = {Homotopy trust-region method for phase-field approximations in perimeter-regularized binary optimal control},
  journal = {arXiv preprint arXiv:2310.12478},
  year = {2023},
  url = {https://arxiv.org/abs/2310.12478}
}

Manns P and Schiemann A (2023), "On Integer Optimal Control with Total Variation Regularization on Multi-dimensional Domains", SIAM Journal on Control and Optimization. Vol. 61(6), pp. 3415-3441. SIAM.

[BibTeX] [DOI] [URL]

BibTeX:

@article{manns2023integer,
  author = {Manns, Paul and Schiemann, Annika},
  title = {On Integer Optimal Control with Total Variation Regularization on Multi-dimensional Domains},
  journal = {SIAM Journal on Control and Optimization},
  publisher = {SIAM},
  year = {2023},
  volume = {61},
  number = {6},
  pages = {3415--3441},
  url = {https://arxiv.org/abs/2212.12226},
  doi = {10.48550/arXiv.2212.12226}
}

Manns P and Surowiec TM (2023), "On Binary Optimal Control in H^s(0,T), s<1/2", Comptes Rendus. Mathématique. Vol. 361(G9), pp. 1531-1540.