Bennet Gebken

Lehrstuhl für Angewandte Mathematik
bgebken@campus.uni-paderborn.de
ID
32643

13 Publications

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[13]
2024 | Journal Article | LibreCat-ID: 51208
B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” Computational Optimization and Applications, 2024, doi: 10.1007/s10589-024-00552-0.
LibreCat | DOI
 
[12]
2024 | Preprint | LibreCat-ID: 51334 | OA
K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376. 2024.
LibreCat | Download (ext.) | arXiv
 
[11]
2023 | Journal Article | LibreCat-ID: 27426 | OA
B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths for piecewise differentiable regularization terms,” Journal of Global Optimization, vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.
LibreCat | DOI | Download (ext.)
 
[10]
2023 | Preprint | LibreCat-ID: 46578 | OA
M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023.
LibreCat | Download (ext.) | arXiv
 
[9]
2022 | Book Chapter | LibreCat-ID: 16296 | OA
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland, K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.
LibreCat | DOI | Download (ext.)
 
[8]
2022 | Preprint | LibreCat-ID: 34618 | OA
B. Gebken, “Using second-order information in gradient sampling methods for  nonsmooth optimization,” arXiv:2210.04579. 2022.
LibreCat | Download (ext.) | arXiv
 
[7]
2022 | Dissertation | LibreCat-ID: 31556 | OA
B. Gebken, Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. 2022.
LibreCat | DOI | Download (ext.)
 
[6]
2022 | Journal Article | LibreCat-ID: 20731 | OA
K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.
LibreCat | Files available | DOI | Download (ext.)
 
[5]
2021 | Journal Article | LibreCat-ID: 16867 | OA
B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, vol. 188, pp. 696–723, 2021.
LibreCat | DOI | Download (ext.)
 
[4]
2021 | Journal Article | LibreCat-ID: 16295 | OA
B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 10595
B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913, 2019.
LibreCat | DOI
 
[1]
2018 | Conference Paper | LibreCat-ID: 8750
B. Gebken, S. Peitz, and M. Dellnitz, “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems,” in Numerical and Evolutionary Optimization – NEO 2017, 2018.
LibreCat | DOI
 
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13 Publications

Mark all

[13]
2024 | Journal Article | LibreCat-ID: 51208
B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,” Computational Optimization and Applications, 2024, doi: 10.1007/s10589-024-00552-0.
LibreCat | DOI
 
[12]
2024 | Preprint | LibreCat-ID: 51334 | OA
K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376. 2024.
LibreCat | Download (ext.) | arXiv
 
[11]
2023 | Journal Article | LibreCat-ID: 27426 | OA
B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths for piecewise differentiable regularization terms,” Journal of Global Optimization, vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.
LibreCat | DOI | Download (ext.)
 
[10]
2023 | Preprint | LibreCat-ID: 46578 | OA
M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023.
LibreCat | Download (ext.) | arXiv
 
[9]
2022 | Book Chapter | LibreCat-ID: 16296 | OA
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland, K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.
LibreCat | DOI | Download (ext.)
 
[8]
2022 | Preprint | LibreCat-ID: 34618 | OA
B. Gebken, “Using second-order information in gradient sampling methods for  nonsmooth optimization,” arXiv:2210.04579. 2022.
LibreCat | Download (ext.) | arXiv
 
[7]
2022 | Dissertation | LibreCat-ID: 31556 | OA
B. Gebken, Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. 2022.
LibreCat | DOI | Download (ext.)
 
[6]
2022 | Journal Article | LibreCat-ID: 20731 | OA
K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.
LibreCat | Files available | DOI | Download (ext.)
 
[5]
2021 | Journal Article | LibreCat-ID: 16867 | OA
B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, vol. 188, pp. 696–723, 2021.
LibreCat | DOI | Download (ext.)
 
[4]
2021 | Journal Article | LibreCat-ID: 16295 | OA
B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 10595
B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913, 2019.
LibreCat | DOI
 
[1]
2018 | Conference Paper | LibreCat-ID: 8750
B. Gebken, S. Peitz, and M. Dellnitz, “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems,” in Numerical and Evolutionary Optimization – NEO 2017, 2018.
LibreCat | DOI
 
Marked Publication(s)

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Display / Sort

Citation Style: IEEE

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