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 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
 
[7]
2025 | Dissertation | LibreCat-ID: 62750 | OA
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.)
 
[6]
2024 | Journal Article | LibreCat-ID: 46019 | OA
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.)
 
[5]
2024 | Preprint | LibreCat-ID: 51334 | OA
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published online 2024.
LibreCat | Download (ext.) | arXiv
 
[4]
2024 | Preprint | LibreCat-ID: 53858 | OA
Akhter J, Fährmann PD, Sonntag K, Peitz S. Common pitfalls to avoid while using multiobjective optimization in machine learning. arXiv. Published online 2024.
LibreCat | Download (ext.)
 
[3]
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
 
[2]
2023 | Preprint | LibreCat-ID: 51159 | OA
Amakor AC, Sonntag K, Peitz S. A multiobjective continuation method to compute the regularization path of deep neural networks. arXiv. Published online 2023.
LibreCat | Download (ext.)
 
[1]
2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023.
LibreCat | Download (ext.) | arXiv
 
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8 Publications

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[8]
2025 | Journal Article | LibreCat-ID: 57472 | OA
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
 
[7]
2025 | Dissertation | LibreCat-ID: 62750 | OA
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.)
 
[6]
2024 | Journal Article | LibreCat-ID: 46019 | OA
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.)
 
[5]
2024 | Preprint | LibreCat-ID: 51334 | OA
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published online 2024.
LibreCat | Download (ext.) | arXiv
 
[4]
2024 | Preprint | LibreCat-ID: 53858 | OA
Akhter J, Fährmann PD, Sonntag K, Peitz S. Common pitfalls to avoid while using multiobjective optimization in machine learning. arXiv. Published online 2024.
LibreCat | Download (ext.)
 
[3]
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
 
[2]
2023 | Preprint | LibreCat-ID: 51159 | OA
Amakor AC, Sonntag K, Peitz S. A multiobjective continuation method to compute the regularization path of deep neural networks. arXiv. Published online 2023.
LibreCat | Download (ext.)
 
[1]
2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023.
LibreCat | Download (ext.) | arXiv
 
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Citation Style: AMA

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