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 | 
J. Akhter, P. D. Fährmann, K. Sonntag, and S. Peitz, “Common pitfalls to avoid while using multiobjective optimization in machine learning,” SIAM Review, vol. 68, no. 3, pp. 656–683, 2026, doi: 10.1137/24M1658875.
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| DOI
| Download (ext.)
2026 | Conference Paper | LibreCat-ID: 67303 |
A. C. Amakor, K. Sonntag, and S. Peitz, “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, pp. 652–668, doi: 10.1007/978-3-032-37667-1_37.
LibreCat
| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 57472 |
R. I. Bot and K. Sonntag, “Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization,” Journal of Mathematical Analysis and Applications, 2025.
LibreCat
| Files available
| Download (ext.)
| arXiv
2025 | Dissertation | LibreCat-ID: 62750 |
K. Sonntag, First-order methods and gradient dynamical systems for multiobjective optimization. Paderborn University, 2025.
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| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 51159
A. C. Amakor, K. Sonntag, and S. Peitz, “A multiobjective continuation method to compute the regularization path of deep neural networks,” Machine Learning with Applications, vol. 19, Art. no. 100625, 2025, doi: 10.1016/j.mlwa.2025.100625.
LibreCat
| Files available
| DOI
2024 | Journal Article | LibreCat-ID: 46019 |
K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory and Applications, 2024, doi: 10.1007/s10957-024-02389-3.
LibreCat
| DOI
| Download (ext.)
2024 | Journal Article | LibreCat-ID: 32447
K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping,” SIAM Journal on Optimization, vol. 34, no. 3, pp. 2259–2286, 2024, doi: 10.1137/23M1588512.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 51334 |
K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” Journal of Optimization Theory and Applications, vol. 203, pp. 455–487, 2024, doi: 10.1007/s10957-024-02520-4.
LibreCat
| DOI
| Download (ext.)
| arXiv
2024 | Book Chapter | LibreCat-ID: 46578 |
M. Bernreuther 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
M. Berkemeier, K. Sonntag, and S. Peitz, “New Nonlinear Conjugate Gradient Methods with Guaranteed Descent for Multi-Objective Optimization,” Optimizaton Online. 2024.
LibreCat
10 Publications
2026 | Journal Article | LibreCat-ID: 53858 |
J. Akhter, P. D. Fährmann, K. Sonntag, and S. Peitz, “Common pitfalls to avoid while using multiobjective optimization in machine learning,” SIAM Review, vol. 68, no. 3, pp. 656–683, 2026, doi: 10.1137/24M1658875.
LibreCat
| DOI
| Download (ext.)
2026 | Conference Paper | LibreCat-ID: 67303 |
A. C. Amakor, K. Sonntag, and S. Peitz, “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, pp. 652–668, doi: 10.1007/978-3-032-37667-1_37.
LibreCat
| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 57472 |
R. I. Bot and K. Sonntag, “Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization,” Journal of Mathematical Analysis and Applications, 2025.
LibreCat
| Files available
| Download (ext.)
| arXiv
2025 | Dissertation | LibreCat-ID: 62750 |
K. Sonntag, First-order methods and gradient dynamical systems for multiobjective optimization. Paderborn University, 2025.
LibreCat
| DOI
| Download (ext.)
2025 | Journal Article | LibreCat-ID: 51159
A. C. Amakor, K. Sonntag, and S. Peitz, “A multiobjective continuation method to compute the regularization path of deep neural networks,” Machine Learning with Applications, vol. 19, Art. no. 100625, 2025, doi: 10.1016/j.mlwa.2025.100625.
LibreCat
| Files available
| DOI
2024 | Journal Article | LibreCat-ID: 46019 |
K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory and Applications, 2024, doi: 10.1007/s10957-024-02389-3.
LibreCat
| DOI
| Download (ext.)
2024 | Journal Article | LibreCat-ID: 32447
K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping,” SIAM Journal on Optimization, vol. 34, no. 3, pp. 2259–2286, 2024, doi: 10.1137/23M1588512.
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 51334 |
K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” Journal of Optimization Theory and Applications, vol. 203, pp. 455–487, 2024, doi: 10.1007/s10957-024-02520-4.
LibreCat
| DOI
| Download (ext.)
| arXiv
2024 | Book Chapter | LibreCat-ID: 46578 |
M. Bernreuther 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
M. Berkemeier, K. Sonntag, and S. Peitz, “New Nonlinear Conjugate Gradient Methods with Guaranteed Descent for Multi-Objective Optimization,” Optimizaton Online. 2024.
LibreCat