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152 Publications
2025 | Preprint | LibreCat-ID: 58544 |

Kopylov, Denis, et al. Multiphoton, Multimode State Classification for Nonlinear Optical Circuits .
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| arXiv
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
2025 | Journal Article | LibreCat-ID: 59792
Flaßkamp, Kathrin, et al. “Trim Turnpikes for Optimal Control Problems with Symmetries.” Mathematics of Control, Signals, and Systems, Springer Science and Business Media LLC, 2025, doi:10.1007/s00498-025-00408-w.
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| DOI
2025 | Preprint | LibreCat-ID: 59800
Konopik, Michael, et al. On the Variational Discretization of Optimal Control Problems for Lagrangian Dynamics. Springer Science and Business Media LLC, 2025.
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2025 | Preprint | LibreCat-ID: 59797
Konopik, Michael, et al. Variational Integrators for a New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term. 2025.
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2025 | Preprint | LibreCat-ID: 59799
Konopik, Michael, et al. A New Lagrangian Approach to Optimal Control of Second-Order Systems. 2025.
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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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| DOI
| 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
2024 | Preprint | LibreCat-ID: 59507
Maslovskaya, Sofya, et al. Commutator-Free Cayley Methods.
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2024 | Conference Paper | LibreCat-ID: 59791
Maslovskaya, Sofya, and Sina Ober-Blöbaum. “Symplectic Methods in Deep Learning.” IFAC-PapersOnLine, vol. 58, no. 17, Elsevier BV, 2024, pp. 85–90, doi:10.1016/j.ifacol.2024.10.118.
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| DOI
2024 | Preprint | LibreCat-ID: 59794
Maslovskaya, Sofya, et al. Adaptive Higher Order Reversible Integrators for Memory Efficient Deep Learning. 2024.
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2024 | Preprint | LibreCat-ID: 59801
Jean, Frédéric, and Sofya Maslovskaya. Inverse Optimal Control Problem in the Non Autonomous Linear-Quadratic Case. 2024.
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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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| arXiv
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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| arXiv
2023 | Report | LibreCat-ID: 47147
Lishkova, Yana, et al. Multirate Discrete Mechanics and Optimal Control for a Flexible Satelite Model . Invited Mathematical Magazine Article, 2023.
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