13 Publications
2024 | Journal Article | LibreCat-ID: 51208
Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0.
LibreCat
| DOI
2024 | Preprint | LibreCat-ID: 51334 | 
Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
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| arXiv
2023 | Journal Article | LibreCat-ID: 27426 |
Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization, vol. 85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
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2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
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| arXiv
2022 | Book Chapter | LibreCat-ID: 16296 |
Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022, pp. 43–76, doi:10.1007/978-3-030-79393-7_3.
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2022 | Preprint | LibreCat-ID: 34618 |
Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
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| arXiv
2022 | Dissertation | LibreCat-ID: 31556 |
Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization. 2022, doi:10.17619/UNIPB/1-1327.
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2022 | Journal Article | LibreCat-ID: 20731 |
Bieker, Katharina, et al. “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, IEEE, 2022, pp. 7797–808, doi:10.1109/TPAMI.2021.3114962.
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2021 | Journal Article | LibreCat-ID: 16867 |
Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications, vol. 188, 2021, pp. 696–723, doi:10.1007/s10957-020-01803-w.
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2021 | Journal Article | LibreCat-ID: 16295 |
Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization, vol. 80, Springer, 2021, pp. 3–29, doi:10.1007/s10898-020-00983-z.
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2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
LibreCat
| DOI
2018 | Conference Paper | LibreCat-ID: 8750
Gebken, Bennet, et al. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.” Numerical and Evolutionary Optimization – NEO 2017, 2018, doi:10.1007/978-3-319-96104-0_2.
LibreCat
| DOI
13 Publications
2024 | Journal Article | LibreCat-ID: 51208
Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0.
LibreCat
| DOI
2024 | Preprint | LibreCat-ID: 51334 |
Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
LibreCat
| Download (ext.)
| arXiv
2023 | Journal Article | LibreCat-ID: 27426 |
Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization, vol. 85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
LibreCat
| DOI
| Download (ext.)
2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
LibreCat
| Download (ext.)
| arXiv
2022 | Book Chapter | LibreCat-ID: 16296 |
Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022, pp. 43–76, doi:10.1007/978-3-030-79393-7_3.
LibreCat
| DOI
| Download (ext.)
2022 | Preprint | LibreCat-ID: 34618 |
Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
LibreCat
| Download (ext.)
| arXiv
2022 | Dissertation | LibreCat-ID: 31556 |
Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization. 2022, doi:10.17619/UNIPB/1-1327.
LibreCat
| DOI
| Download (ext.)
2022 | Journal Article | LibreCat-ID: 20731 |
Bieker, Katharina, et al. “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, IEEE, 2022, pp. 7797–808, doi:10.1109/TPAMI.2021.3114962.
LibreCat
| Files available
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 16867 |
Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications, vol. 188, 2021, pp. 696–723, doi:10.1007/s10957-020-01803-w.
LibreCat
| DOI
| Download (ext.)
2021 | Journal Article | LibreCat-ID: 16295 |
Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization, vol. 80, Springer, 2021, pp. 3–29, doi:10.1007/s10898-020-00983-z.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
LibreCat
| DOI
| Download (ext.)
2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
LibreCat
| DOI
2018 | Conference Paper | LibreCat-ID: 8750
Gebken, Bennet, et al. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.” Numerical and Evolutionary Optimization – NEO 2017, 2018, doi:10.1007/978-3-319-96104-0_2.
LibreCat
| DOI