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283 Publications
2021 | Preprint | LibreCat-ID: 21600
Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” ArXiv:2104.03562, 2021.
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2021 | Journal Article | LibreCat-ID: 16295
Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization, vol. 80, Springer, 2021, pp. 3–29, doi:10.1007/s10898-020-00983-z.
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2021 | Preprint | LibreCat-ID: 23428
Nüske, Feliks, et al. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” ArXiv:2108.07102, 2021.
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2021 | Preprint | LibreCat-ID: 21199
Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” ArXiv:2102.04722, 2021.
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2021 | Preprint | LibreCat-ID: 27426
Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” ArXiv:2111.06775, 2021.
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2021 | Conference Paper | LibreCat-ID: 22894
Offen, Christian, and Sina Ober-Blöbaum. Bifurcation Preserving Discretisations of Optimal Control Problems. no. 19, 2021, pp. 334–39, doi:https://doi.org/10.1016/j.ifacol.2021.11.099.
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2021 | Journal Article | LibreCat-ID: 16867
Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications, vol. 188, 2021, pp. 696–723, doi:10.1007/s10957-020-01803-w.
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2021 | Journal Article | LibreCat-ID: 21195
Goelz, Christian, et al. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.” Cognitive Neurodynamics, 2021, doi:10.1007/s11571-020-09656-9.
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2021 | Journal Article | LibreCat-ID: 24170
Klus, Stefan, et al. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.” Machine Learning: Science and Technology, 045016, 2021, doi:10.1088/2632-2153/ac14ad.
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2021 | Journal Article | LibreCat-ID: 20731
Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence, IEEE, 2021, doi:10.1109/TPAMI.2021.3114962.
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2021 | Preprint | LibreCat-ID: 23382
Offen, Christian, and Sina Ober-Blöbaum. Symplectic Integration of Learned Hamiltonian Systems.
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2021 | Journal Article | LibreCat-ID: 24169
Nüske, Feliks, et al. “Tensor-Based Computation of Metastable and Coherent Sets.” Physica D: Nonlinear Phenomena, 133018, 2021, doi:10.1016/j.physd.2021.133018.
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2021 | Journal Article | LibreCat-ID: 16294
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control, vol. 31, no. 2, 2021, pp. 380–403, doi:10.1002/rnc.5281.
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2021 | Preprint | LibreCat-ID: 21572
Ridderbusch, Steffen, et al. Learning ODE Models with Qualitative Structure Using Gaussian Processes .
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2021 | Journal Article | LibreCat-ID: 21337
Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models.” Mathematical and Computational Applications, vol. 26, no. 2, 31, 2021, doi:10.3390/mca26020031.
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2021 | Journal Article | LibreCat-ID: 21820
Nüske, Feliks, et al. “Spectral Properties of Effective Dynamics from Conditional Expectations.” Entropy, 134, 2021, doi:10.3390/e23020134.
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2020 | Journal Article | LibreCat-ID: 16961
Liebendörfer, Michael, et al. “LimSt – Ein Fragebogen zur Erhebung von Lernstrategien im mathematikhaltigen Studium.” Journal für Mathematik-Didaktik, 2020, doi:10.1007/s13138-020-00167-y.
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2020 | Journal Article | LibreCat-ID: 16290
Bieker, Katharina, et al. “Deep Model Predictive Flow Control with Limited Sensor Data and Online Learning.” Theoretical and Computational Fluid Dynamics, vol. 34, 2020, pp. 577–591, doi:10.1007/s00162-020-00520-4.
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2020 | Preprint | LibreCat-ID: 19941
McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” ArXiv:2006.14172.
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2020 | Journal Article | LibreCat-ID: 19939
Kreusser, Lisa Maria, et al. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity, vol. 33, no. 5, 2020, pp. 2335–63, doi:10.1088/1361-6544/ab7293.
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2020 | Journal Article | LibreCat-ID: 16288
Klus, Stefan, et al. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.” Physica D: Nonlinear Phenomena, vol. 406, 132416, 2020, doi:10.1016/j.physd.2020.132416.
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2020 | Journal Article | LibreCat-ID: 21819
Klus, Stefan, et al. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” Entropy, 722, 2020, doi:10.3390/e22070722.
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2020 | Journal Article | LibreCat-ID: 10596
Schütze, Oliver, et al. “Pareto Explorer: A Global/Local Exploration Tool for Many-Objective Optimization Problems.” Engineering Optimization, vol. 52, no. 5, 2020, pp. 832–55, doi:10.1080/0305215x.2019.1617286.
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.” Lecture Notes in Control and Information Sciences, vol. 484, Springer, 2020, pp. 257–82, doi:10.1007/978-3-030-35713-9_10.
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2020 | Book Chapter | LibreCat-ID: 13108
Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge.” Zeichen und Sprache im Mathematikunterricht, edited by Gert Kadunz, Springer, 2020, doi:10.1007/978-3-662-61194-4_5.
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2020 | Journal Article | LibreCat-ID: 16710
Gerlach, Raphael, et al. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, pp. 705–23, doi:10.1137/19m1247139.
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, Sebastian, et al. “Data-Driven Model Predictive Control Using Interpolated Koopman Generators.” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 3, 2020, pp. 2162–93, doi:10.1137/20M1325678.
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2020 | Book Chapter | LibreCat-ID: 16963
Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.” Beiträge Zum {Mathematikunterricht} 2019 53. {Jahrestagung} Der {Gesellschaft} Für {Didaktik} Der {Mathematik}., edited by Andreas Frank et al., WTM-Verlag, 2020.
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2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, Kathrin, et al. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., Springer, 2020, doi:10.1007/978-3-030-51264-4_9.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, et al. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems Under Uncertainty.” International Journal of Robust and Nonlinear Control, vol. 30, no. 17, 2020, pp. 7593–618, doi:10.1002/rnc.5197.
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2020 | Journal Article | LibreCat-ID: 16964
Hochmuth, Reinhard, et al. “Das Kompetenzzentrum Hochschuldidaktik Mathematik (Khdm).” Neues Handbuch Hochschullehre, vol. 95, 2020, pp. 117–38.
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2020 | Journal Article | LibreCat-ID: 16965
Schürmann, Mirko, et al. “Ein Kurzbericht Aus Dem Forschungsprojekt WiGeMath-Lernzentren Als Unterstützungsmaßnahme Für Mathematikbezogenes Lernen in Der Studieneingangsphase.” Dghd-Newsletter, vol. 01/2020, 2020, pp. 25–29.
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., vol. 304, Springer, 2020, pp. 55–85, doi:10.1007/978-3-030-51264-4_3.
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2020 | Journal Article | LibreCat-ID: 19938
McLachlan, Robert I., and Christian Offen. “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.” Foundations of Computational Mathematics, vol. 20, no. 6, 2020, pp. 1363–400, doi:10.1007/s10208-020-09454-z.
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
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2019 | Conference Paper | LibreCat-ID: 13107
Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers.” Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), edited by Uffe Thomas Jankvist et al., Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.
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2019 | Book Chapter | LibreCat-ID: 16966
Kuklinski, Christiane, et al. “Features of Innovative Lectures That Distinguish Them from Traditional Lectures and Their Evaluation by Attending Students.” Proceedings of {CERME} 11, 2019.
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2019 | Book (Editor) | LibreCat-ID: 13139
Rezat, Sebastian, et al., editors. Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany. Universitätsbibliothek Paderborn, 2019, doi:10.17619/UNIPB/1-768.
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2019 | Preprint | LibreCat-ID: 16296
Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” ArXiv:1906.09075, 2019.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems, 2019, pp. 1265–92, doi:10.1137/18m1204395.
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, Soren, et al. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.” 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019, doi:10.1109/precede.2019.8753313.
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, Tuhin, et al. “Continuous Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019, doi:10.1007/s11071-019-05092-5.
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2019 | Preprint | LibreCat-ID: 16711
Gerlach, Raphael, et al. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.
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2019 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae, vol. 161, no. 1, 2019, pp. 171–199, doi:10.1007/s10440-018-0209-7.
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” Automatica, vol. 106, 2019, pp. 184–91, doi:10.1016/j.automatica.2019.05.016.
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2019 | Journal Article | LibreCat-ID: 21
Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational Physics, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:10.4208/cicp.OA-2018-0053.
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2019 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, 2019, pp. 1–19, doi:10.1080/14689367.2019.1661355.
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2019 | Misc | LibreCat-ID: 8482
Jurgelucks, Benjamin, et al. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. 2019.
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, Feliks, et al. “Coarse-Graining Molecular Systems by Spectral Matching.” The Journal of Chemical Physics, 044116, 2019, doi:10.1063/1.5100131.
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2019 | Conference Paper | LibreCat-ID: 13106
Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen.” Beiträge zum Mathematikunterricht 2019.
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