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228 Publications
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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).
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: 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.
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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| DOI
| arXiv
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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| arXiv
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
2023 | 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.).
2023 | Preprint | LibreCat-ID: 32447 |
Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping
K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
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K. Sonntag, S. Peitz, ArXiv:2307.00975 (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).
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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| DOI
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).
2022 | Dissertation | LibreCat-ID: 31556 |
Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization
B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
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B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
2022 | Preprint | LibreCat-ID: 33150 |
Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients
M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
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M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
2022 | Journal Article | LibreCat-ID: 20731 |
On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation
K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.
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K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.
2021 | Journal Article | LibreCat-ID: 24169
Tensor-based computation of metastable and coherent sets
F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021).
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| DOI
F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021).
2021 | Journal Article | LibreCat-ID: 24170
Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry
S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).
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| DOI
S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).
2021 | Journal Article | LibreCat-ID: 21195
Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults
C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
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C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
2021 | Journal Article | LibreCat-ID: 21337 |
Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models
M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
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M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
2021 | Journal Article | LibreCat-ID: 21820 |
Spectral Properties of Effective Dynamics from Conditional Expectations
F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
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F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
2021 | Journal Article | LibreCat-ID: 16867 |
An efficient descent method for locally Lipschitz multiobjective optimization problems
B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
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B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
2021 | Journal Article | LibreCat-ID: 16295 |
Inverse multiobjective optimization: Inferring decision criteria from data
B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
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B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
2021 | Dissertation | LibreCat-ID: 32057 |
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
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R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
2021 | Journal Article | LibreCat-ID: 16294 |
Explicit multiobjective model predictive control for nonlinear systems with symmetries
S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
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S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
2020 | Book Chapter | LibreCat-ID: 17411
Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
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| DOI
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
2020 | Journal Article | LibreCat-ID: 21819 |
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
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S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
2020 | Journal Article | LibreCat-ID: 10596
Pareto Explorer: a global/local exploration tool for many-objective optimization problems
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
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| DOI
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
2020 | Journal Article | LibreCat-ID: 16288
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
LibreCat
| DOI
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
2020 | Book Chapter | LibreCat-ID: 16289
Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
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| DOI
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
2020 | Journal Article | LibreCat-ID: 16290 |
Deep model predictive flow control with limited sensor data and online learning
K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
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K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
2020 | Journal Article | LibreCat-ID: 16309
Data-Driven Model Predictive Control using Interpolated Koopman Generators
S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
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S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
2020 | Journal Article | LibreCat-ID: 16710 |
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
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R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
2020 | Journal Article | LibreCat-ID: 16297
Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
LibreCat
| DOI
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
2020 | Book Chapter | LibreCat-ID: 17994
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
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R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
2020 | Journal Article | LibreCat-ID: 16712
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
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M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
2019 | Journal Article | LibreCat-ID: 21944
Coarse-graining molecular systems by spectral matching
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
LibreCat
| DOI
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
2019 | Journal Article | LibreCat-ID: 16709
Continuous relaxations for the traveling salesman problem
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
LibreCat
| DOI
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
2019 | Journal Article | LibreCat-ID: 10593
Koopman operator-based model reduction for switched-system control of PDEs
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
LibreCat
| DOI
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
2019 | Journal Article | LibreCat-ID: 10595
On the hierarchical structure of Pareto critical sets
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
LibreCat
| DOI
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
2019 | Conference Paper | LibreCat-ID: 10597
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
LibreCat
| DOI
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
2019 | Preprint | LibreCat-ID: 16711 |
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
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R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
2019 | Journal Article | LibreCat-ID: 16708
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
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A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
2018 | Preprint | LibreCat-ID: 21634 |
Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).
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S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).
2018 | Journal Article | LibreCat-ID: 21940
Rapid Calculation of Molecular Kinetics Using Compressed Sensing
F. Litzinger, L. Boninsegna, H. Wu, F. Nüske, R. Patel, R. Baraniuk, F. Noé, C. Clementi, Journal of Chemical Theory and Computation (2018) 2771–2783.
LibreCat
| DOI
F. Litzinger, L. Boninsegna, H. Wu, F. Nüske, R. Patel, R. Baraniuk, F. Noé, C. Clementi, Journal of Chemical Theory and Computation (2018) 2771–2783.
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