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
Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. Published online 2024. doi:10.1007/s10589-024-00552-0
LibreCat | DOI
 
[12]
2024 | Preprint | LibreCat-ID: 51334 | OA
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published online 2024.
LibreCat | Download (ext.) | arXiv
 
[11]
2023 | Journal Article | LibreCat-ID: 27426 | OA
Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741. doi:10.1007/s10898-022-01223-2
LibreCat | DOI | Download (ext.)
 
[10]
2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023.
LibreCat | Download (ext.) | arXiv
 
[9]
2022 | Book Chapter | LibreCat-ID: 16296 | OA
Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3
LibreCat | DOI | Download (ext.)
 
[8]
2022 | Preprint | LibreCat-ID: 34618 | OA
Gebken B. Using second-order information in gradient sampling methods for  nonsmooth optimization. arXiv:221004579. Published online 2022.
LibreCat | Download (ext.) | arXiv
 
[7]
2022 | Dissertation | LibreCat-ID: 31556 | OA
Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327
LibreCat | DOI | Download (ext.)
 
[6]
2022 | Journal Article | LibreCat-ID: 20731 | OA
Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962
LibreCat | Files available | DOI | Download (ext.)
 
[5]
2021 | Journal Article | LibreCat-ID: 16867 | OA
Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications. 2021;188:696-723. doi:10.1007/s10957-020-01803-w
LibreCat | DOI | Download (ext.)
 
[4]
2021 | Journal Article | LibreCat-ID: 16295 | OA
Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization. 2021;80:3-29. doi:10.1007/s10898-020-00983-z
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16712
Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 10595
Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6
LibreCat | DOI
 
[1]
2018 | Conference Paper | LibreCat-ID: 8750
Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2
LibreCat | DOI
 
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13 Publications

Mark all

[13]
2024 | Journal Article | LibreCat-ID: 51208
Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. Published online 2024. doi:10.1007/s10589-024-00552-0
LibreCat | DOI
 
[12]
2024 | Preprint | LibreCat-ID: 51334 | OA
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published online 2024.
LibreCat | Download (ext.) | arXiv
 
[11]
2023 | Journal Article | LibreCat-ID: 27426 | OA
Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741. doi:10.1007/s10898-022-01223-2
LibreCat | DOI | Download (ext.)
 
[10]
2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023.
LibreCat | Download (ext.) | arXiv
 
[9]
2022 | Book Chapter | LibreCat-ID: 16296 | OA
Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3
LibreCat | DOI | Download (ext.)
 
[8]
2022 | Preprint | LibreCat-ID: 34618 | OA
Gebken B. Using second-order information in gradient sampling methods for  nonsmooth optimization. arXiv:221004579. Published online 2022.
LibreCat | Download (ext.) | arXiv
 
[7]
2022 | Dissertation | LibreCat-ID: 31556 | OA
Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327
LibreCat | DOI | Download (ext.)
 
[6]
2022 | Journal Article | LibreCat-ID: 20731 | OA
Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962
LibreCat | Files available | DOI | Download (ext.)
 
[5]
2021 | Journal Article | LibreCat-ID: 16867 | OA
Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications. 2021;188:696-723. doi:10.1007/s10957-020-01803-w
LibreCat | DOI | Download (ext.)
 
[4]
2021 | Journal Article | LibreCat-ID: 16295 | OA
Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization. 2021;80:3-29. doi:10.1007/s10898-020-00983-z
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16712
Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 10595
Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6
LibreCat | DOI
 
[1]
2018 | Conference Paper | LibreCat-ID: 8750
Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2
LibreCat | DOI
 
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Citation Style: AMA

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