Konstantin Sonntag
Lehrstuhl für Angewandte Mathematik
Institut für Industriemathematik
Data Science for Engineering
konstantin.sonntag@uni-paderborn.deID
8 Publications
2025 | Journal Article | LibreCat-ID: 57472 | 
Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov Regularization for Multobjective Optimization.” Journal of Mathematical Analysis and Applications, 2025.
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2025 | Dissertation | LibreCat-ID: 62750 |
Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University, 2025. https://doi.org/10.17619/UNIPB/1-2457.
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2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3.
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2024 | Preprint | LibreCat-ID: 51334 |
Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
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2024 | Preprint | LibreCat-ID: 53858 |
Akhter, Junaid, Paul David Fährmann, Konstantin Sonntag, and Sebastian Peitz. “Common Pitfalls to Avoid While Using Multiobjective Optimization in Machine Learning.” ArXiv, 2024.
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2024 | Journal Article | LibreCat-ID: 32447
Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” SIAM Journal on Optimization 34, no. 3 (2024): 2259–86. https://doi.org/10.1137/23M1588512.
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| DOI
2023 | Preprint | LibreCat-ID: 51159 |
Amakor, Augustina Chidinma, Konstantin Sonntag, and Sebastian Peitz. “A Multiobjective Continuation Method to Compute the Regularization Path of Deep Neural Networks.” ArXiv, 2023.
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2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
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8 Publications
2025 | Journal Article | LibreCat-ID: 57472 |
Bot, Radu Ioan, and Konstantin 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 |
Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University, 2025. https://doi.org/10.17619/UNIPB/1-2457.
LibreCat
| DOI
| Download (ext.)
2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3.
LibreCat
| DOI
| Download (ext.)
2024 | Preprint | LibreCat-ID: 51334 |
Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
LibreCat
| Download (ext.)
| arXiv
2024 | Preprint | LibreCat-ID: 53858 |
Akhter, Junaid, Paul David Fährmann, Konstantin Sonntag, and Sebastian Peitz. “Common Pitfalls to Avoid While Using Multiobjective Optimization in Machine Learning.” ArXiv, 2024.
LibreCat
| Download (ext.)
2024 | Journal Article | LibreCat-ID: 32447
Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” SIAM Journal on Optimization 34, no. 3 (2024): 2259–86. https://doi.org/10.1137/23M1588512.
LibreCat
| DOI
2023 | Preprint | LibreCat-ID: 51159 |
Amakor, Augustina Chidinma, Konstantin Sonntag, and Sebastian Peitz. “A Multiobjective Continuation Method to Compute the Regularization Path of Deep Neural Networks.” ArXiv, 2023.
LibreCat
| Download (ext.)
2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
LibreCat
| Download (ext.)
| arXiv