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96 Publications
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2025 | Preprint | LibreCat-ID: 58544 | 
Kopylov, Denis, et al. Multiphoton, Multimode State Classification for Nonlinear Optical Circuits .
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2025 | Preprint | LibreCat-ID: 53805 |
Offen, Christian. Machine Learning of Continuous and Discrete Variational ODEs with Convergence Guarantee and Uncertainty Quantification.
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| arXiv
2024 | Journal Article | LibreCat-ID: 53101 |
Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:10.3934/jcd.2024017.
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2024 | Journal Article | LibreCat-ID: 46469 |
Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
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| arXiv
2024 | Preprint | LibreCat-ID: 55159 |
Offen, Christian. Machine Learning of Discrete Field Theories with Guaranteed Convergence and Uncertainty Quantification.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457.
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2023 | Conference Paper | LibreCat-ID: 42163 |
Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer, Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57.
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics, vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780.
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| arXiv
2023 | Journal Article | LibreCat-ID: 29236 |
McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics, vol. 15, no. 1, AIMS Press, 2023, pp. 98–115, doi:10.3934/jgm.2023005.
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969.
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.
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2022 | Journal Article | LibreCat-ID: 30490
Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022, pp. 57–89.
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2022 | Journal Article | LibreCat-ID: 30861
Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, Springer Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0.
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2022 | Conference Paper | LibreCat-ID: 30733
Vertovec, Nikolaus, et al. Verification of Safety Critical Control Policies Using Kernel Methods. 2022, pp. 1870–75.
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2022 | Journal Article | LibreCat-ID: 44624
Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 759–88.
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2022 | Journal Article | LibreCat-ID: 19941 |
McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics, vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:10.3934/jgm.2022014.
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| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.
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2021 | Conference Paper | LibreCat-ID: 29421
Ober-Blöbaum, Sina, and M. Vermeeren. “Superconvergence of Galerkin Variational Integrators.” 7th IIFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC, edited by IFAC-PapersOnLine, vol. 54(19), 2021, pp. 327–33.
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2021 | Journal Article | LibreCat-ID: 29543
Djema, Walid, et al. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” Automatica, vol. 132, 109804, Elsevier BV, 2021, doi:10.1016/j.automatica.2021.109804.
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2021 | Conference Paper | LibreCat-ID: 22894 |
Offen, Christian, and Sina Ober-Blöbaum. Bifurcation Preserving Discretisations of Optimal Control Problems. 2021, pp. 334–39, doi:https://doi.org/10.1016/j.ifacol.2021.11.099.
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