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230 Publications
2024 | Journal Article | LibreCat-ID: 51208
A note on the convergence of deterministic gradient sampling in nonsmooth optimization
B. Gebken, Computational Optimization and Applications (2024).
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| DOI
B. Gebken, Computational Optimization and Applications (2024).
2024 | Journal Article | LibreCat-ID: 46019 | 
Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems
K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
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K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
2024 | Preprint | LibreCat-ID: 51334 |
A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces
K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).
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K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).
2024 | Journal Article | LibreCat-ID: 52726 |
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
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C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
2024 | Journal Article | LibreCat-ID: 32447
Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping
K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.
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| DOI
K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.
2024 | Preprint | LibreCat-ID: 56298 |
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, ArXiv:2409.19277 (n.d.).
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R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, ArXiv:2409.19277 (n.d.).
2024 | Preprint | LibreCat-ID: 44840 |
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
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R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
2024 | Preprint | LibreCat-ID: 57472 |
Inertial dynamics with vanishing Tikhonov regularization for multobjective optimization
R.I. Bot, K. Sonntag, ArXiv:2411.18422 (2024).
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R.I. Bot, K. Sonntag, ArXiv:2411.18422 (2024).
2023 | Journal Article | LibreCat-ID: 21199 |
On the Universal Transformation of Data-Driven Models to Control Systems
S. Peitz, K. Bieker, Automatica 149 (2023).
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S. Peitz, K. Bieker, Automatica 149 (2023).
2023 | Journal Article | LibreCat-ID: 49326
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
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S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
2023 | Preprint | LibreCat-ID: 49371
Higher order interactions lead to "reluctant" synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
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S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
2023 | Preprint | LibreCat-ID: 46578 |
Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).
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M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).
2023 | Journal Article | LibreCat-ID: 27426 |
On the structure of regularization paths for piecewise differentiable regularization terms
B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023) 709–741.
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B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023) 709–741.
2023 | Preprint | LibreCat-ID: 45498
A parametrisation method for high-order phase reduction in coupled oscillator networks
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
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S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
2023 | Journal Article | LibreCat-ID: 23428 |
Finite-data error bounds for Koopman-based prediction and control
F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
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F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
2023 | Journal Article | LibreCat-ID: 21600
Efficient time stepping for numerical integration using reinforcement learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
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M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
2022 | Book Chapter | LibreCat-ID: 16296 |
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.
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S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.
2022 | Book Chapter | LibreCat-ID: 30294
Efficient Virtual Design and Testing of Autonomous Vehicles
S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
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S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
2022 | Journal Article | LibreCat-ID: 29673 |
Koopman analysis of quantum systems
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
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S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
2022 | Preprint | LibreCat-ID: 34618 |
Using second-order information in gradient sampling methods for nonsmooth optimization
B. Gebken, ArXiv:2210.04579 (2022).
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B. Gebken, ArXiv:2210.04579 (2022).