Konstantin Sonntag

Lehrstuhl für Angewandte Mathematik
Institut für Industriemathematik
Data Science for Engineering
konstantin.sonntag@uni-paderborn.de
ID
56399

8 Publications

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[8]
2025 | Journal Article | LibreCat-ID: 57472 | OA
Bot, R. I., & Sonntag, K. (2025). Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. Journal of Mathematical Analysis and Applications.
LibreCat | Files available | Download (ext.) | arXiv
 
[7]
2025 | Dissertation | LibreCat-ID: 62750 | OA
Sonntag, K. (2025). First-order methods and gradient dynamical systems for multiobjective optimization. Paderborn University. https://doi.org/10.17619/UNIPB/1-2457
LibreCat | DOI | Download (ext.)
 
[6]
2024 | Journal Article | LibreCat-ID: 46019 | OA
Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3
LibreCat | DOI | Download (ext.)
 
[5]
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
 
[4]
2024 | Preprint | LibreCat-ID: 53858 | OA
Akhter, J., Fährmann, P. D., Sonntag, K., & Peitz, S. (2024). Common pitfalls to avoid while using multiobjective optimization in machine learning. In arXiv.
LibreCat | Download (ext.)
 
[3]
2024 | Journal Article | LibreCat-ID: 32447
Sonntag, K., & Peitz, S. (2024). Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. SIAM Journal on Optimization, 34(3), 2259–2286. https://doi.org/10.1137/23M1588512
LibreCat | DOI
 
[2]
2023 | Preprint | LibreCat-ID: 51159 | OA
Amakor, A. C., Sonntag, K., & Peitz, S. (2023). A multiobjective continuation method to compute the regularization path of deep neural networks. In arXiv.
LibreCat | Download (ext.)
 
[1]
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
 
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8 Publications

Mark all

[8]
2025 | Journal Article | LibreCat-ID: 57472 | OA
Bot, R. I., & Sonntag, K. (2025). Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization. Journal of Mathematical Analysis and Applications.
LibreCat | Files available | Download (ext.) | arXiv
 
[7]
2025 | Dissertation | LibreCat-ID: 62750 | OA
Sonntag, K. (2025). First-order methods and gradient dynamical systems for multiobjective optimization. Paderborn University. https://doi.org/10.17619/UNIPB/1-2457
LibreCat | DOI | Download (ext.)
 
[6]
2024 | Journal Article | LibreCat-ID: 46019 | OA
Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3
LibreCat | DOI | Download (ext.)
 
[5]
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
 
[4]
2024 | Preprint | LibreCat-ID: 53858 | OA
Akhter, J., Fährmann, P. D., Sonntag, K., & Peitz, S. (2024). Common pitfalls to avoid while using multiobjective optimization in machine learning. In arXiv.
LibreCat | Download (ext.)
 
[3]
2024 | Journal Article | LibreCat-ID: 32447
Sonntag, K., & Peitz, S. (2024). Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping. SIAM Journal on Optimization, 34(3), 2259–2286. https://doi.org/10.1137/23M1588512
LibreCat | DOI
 
[2]
2023 | Preprint | LibreCat-ID: 51159 | OA
Amakor, A. C., Sonntag, K., & Peitz, S. (2023). A multiobjective continuation method to compute the regularization path of deep neural networks. In arXiv.
LibreCat | Download (ext.)
 
[1]
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
 
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