Konstantin Sonntag
Lehrstuhl für Angewandte Mathematik
Institut für Industriemathematik
Data Science for Engineering
konstantin.sonntag@uni-paderborn.deID
10 Publications
2026 | Journal Article | LibreCat-ID: 53858 | 
Akhter J, Fährmann PD, Sonntag K, Peitz S. Common pitfalls to avoid while using multiobjective optimization in machine learning. SIAM Review. 2026;68(3):656-683. doi:10.1137/24M1658875
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2026 | Conference Paper | LibreCat-ID: 67303 |
Amakor AC, Sonntag K, Peitz S. Interactive Pareto navigation for deep multi-task learning. In: European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases (ECML PKDD). ; 2026:652-668. doi:10.1007/978-3-032-37667-1_37
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2025 | Journal Article | LibreCat-ID: 57472 |
Bot RI, Sonntag K. Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. Journal of Mathematical Analysis and Applications. Published online 2025.
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| arXiv
2025 | Dissertation | LibreCat-ID: 62750 |
Sonntag K. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University; 2025. doi:10.17619/UNIPB/1-2457
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2025 | Journal Article | LibreCat-ID: 51159
Amakor AC, Sonntag K, Peitz S. A multiobjective continuation method to compute the regularization path of deep neural networks. Machine Learning with Applications. 2025;19. doi:10.1016/j.mlwa.2025.100625
LibreCat
| Files available
| DOI
2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. Published online 2024. doi:10.1007/s10957-024-02389-3
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2024 | Journal Article | LibreCat-ID: 32447
Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. SIAM Journal on Optimization. 2024;34(3):2259-2286. doi:10.1137/23M1588512
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 51334 |
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. Journal of Optimization Theory and Applications. 2024;203:455-487. doi:10.1007/s10957-024-02520-4
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| DOI
| Download (ext.)
| arXiv
2024 | Book Chapter | LibreCat-ID: 46578 |
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In: DFG Priority Programme 1962. Birkhäuser; 2024.
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| arXiv
2024 | Preprint | LibreCat-ID: 67320
Berkemeier M, Sonntag K, Peitz S. New Nonlinear Conjugate Gradient Methods with Guaranteed Descent for Multi-Objective Optimization. Optimizaton Online. Published online 2024.
LibreCat
10 Publications
2026 | Journal Article | LibreCat-ID: 53858 |
Akhter J, Fährmann PD, Sonntag K, Peitz S. Common pitfalls to avoid while using multiobjective optimization in machine learning. SIAM Review. 2026;68(3):656-683. doi:10.1137/24M1658875
LibreCat
| DOI
| Download (ext.)
2026 | Conference Paper | LibreCat-ID: 67303 |
Amakor AC, Sonntag K, Peitz S. Interactive Pareto navigation for deep multi-task learning. In: European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases (ECML PKDD). ; 2026:652-668. doi:10.1007/978-3-032-37667-1_37
LibreCat
| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 57472 |
Bot RI, Sonntag K. Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. Journal of Mathematical Analysis and Applications. Published online 2025.
LibreCat
| Files available
| Download (ext.)
| arXiv
2025 | Dissertation | LibreCat-ID: 62750 |
Sonntag K. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University; 2025. doi:10.17619/UNIPB/1-2457
LibreCat
| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 51159
Amakor AC, Sonntag K, Peitz S. A multiobjective continuation method to compute the regularization path of deep neural networks. Machine Learning with Applications. 2025;19. doi:10.1016/j.mlwa.2025.100625
LibreCat
| Files available
| DOI
2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. Published online 2024. doi:10.1007/s10957-024-02389-3
LibreCat
| DOI
| Download (ext.)
2024 | Journal Article | LibreCat-ID: 32447
Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. SIAM Journal on Optimization. 2024;34(3):2259-2286. doi:10.1137/23M1588512
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 51334 |
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. Journal of Optimization Theory and Applications. 2024;203:455-487. doi:10.1007/s10957-024-02520-4
LibreCat
| DOI
| Download (ext.)
| arXiv
2024 | Book Chapter | LibreCat-ID: 46578 |
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In: DFG Priority Programme 1962. Birkhäuser; 2024.
LibreCat
| Download (ext.)
| arXiv
2024 | Preprint | LibreCat-ID: 67320
Berkemeier M, Sonntag K, Peitz S. New Nonlinear Conjugate Gradient Methods with Guaranteed Descent for Multi-Objective Optimization. Optimizaton Online. Published online 2024.
LibreCat