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. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. https://doi.org/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. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In arXiv:2402.06376.
LibreCat | Download (ext.) | arXiv
 
[11]
2023 | Journal Article | LibreCat-ID: 27426 | OA
Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2
LibreCat | DOI | Download (ext.)
 
[10]
2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113.
LibreCat | Download (ext.) | arXiv
 
[9]
2022 | Book Chapter | LibreCat-ID: 16296 | OA
Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022). ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer. https://doi.org/10.1007/978-3-030-79393-7_3
LibreCat | DOI | Download (ext.)
 
[8]
2022 | Preprint | LibreCat-ID: 34618 | OA
Gebken, B. (2022). Using second-order information in gradient sampling methods for  nonsmooth optimization. In arXiv:2210.04579.
LibreCat | Download (ext.) | arXiv
 
[7]
2022 | Dissertation | LibreCat-ID: 31556 | OA
Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327
LibreCat | DOI | Download (ext.)
 
[6]
2022 | Journal Article | LibreCat-ID: 20731 | OA
Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962
LibreCat | Files available | DOI | Download (ext.)
 
[5]
2021 | Journal Article | LibreCat-ID: 16867 | OA
Gebken, B., & Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723. https://doi.org/10.1007/s10957-020-01803-w
LibreCat | DOI | Download (ext.)
 
[4]
2021 | Journal Article | LibreCat-ID: 16295 | OA
Gebken, B., & Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29. https://doi.org/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. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 10595
Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6
LibreCat | DOI
 
[1]
2018 | Conference Paper | LibreCat-ID: 8750
Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/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. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. https://doi.org/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. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In arXiv:2402.06376.
LibreCat | Download (ext.) | arXiv
 
[11]
2023 | Journal Article | LibreCat-ID: 27426 | OA
Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2
LibreCat | DOI | Download (ext.)
 
[10]
2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113.
LibreCat | Download (ext.) | arXiv
 
[9]
2022 | Book Chapter | LibreCat-ID: 16296 | OA
Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022). ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer. https://doi.org/10.1007/978-3-030-79393-7_3
LibreCat | DOI | Download (ext.)
 
[8]
2022 | Preprint | LibreCat-ID: 34618 | OA
Gebken, B. (2022). Using second-order information in gradient sampling methods for  nonsmooth optimization. In arXiv:2210.04579.
LibreCat | Download (ext.) | arXiv
 
[7]
2022 | Dissertation | LibreCat-ID: 31556 | OA
Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327
LibreCat | DOI | Download (ext.)
 
[6]
2022 | Journal Article | LibreCat-ID: 20731 | OA
Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962
LibreCat | Files available | DOI | Download (ext.)
 
[5]
2021 | Journal Article | LibreCat-ID: 16867 | OA
Gebken, B., & Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723. https://doi.org/10.1007/s10957-020-01803-w
LibreCat | DOI | Download (ext.)
 
[4]
2021 | Journal Article | LibreCat-ID: 16295 | OA
Gebken, B., & Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29. https://doi.org/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. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 10595
Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6
LibreCat | DOI
 
[1]
2018 | Conference Paper | LibreCat-ID: 8750
Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/10.1007/978-3-319-96104-0_2
LibreCat | DOI
 
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