Christian Offen

Numerik und Steuerung
christian.offen@uni-paderborn.de
ID
85279

22 Publications

Mark all

[22]
2025 | Preprint | LibreCat-ID: 58544 | OA
Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits ,” n.d.
LibreCat | Download (ext.) | arXiv
 
[21]
2025 | Preprint | LibreCat-ID: 53805 | OA
Offen, Christian. “Machine Learning of Continuous and Discrete Variational ODEs with Convergence Guarantee and Uncertainty Quantification,” n.d.
LibreCat | Files available | arXiv
 
[20]
2024 | Journal Article | LibreCat-ID: 46469 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287.
LibreCat | Files available | DOI | arXiv
 
[19]
2024 | Preprint | LibreCat-ID: 55159 | OA
Offen, Christian. “Machine Learning of Discrete Field Theories with Guaranteed Convergence and Uncertainty Quantification,” n.d.
LibreCat | Files available | arXiv
 
[18]
2023 | Conference Paper | LibreCat-ID: 34135 | OA
Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023. https://doi.org/10.1016/j.ifacol.2023.10.1457.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[17]
2023 | Conference Paper | LibreCat-ID: 42163 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79. Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57.
LibreCat | Files available | DOI | arXiv
 
[16]
2023 | Journal Article | LibreCat-ID: 29240 | OA
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics 421 (2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.
LibreCat | Files available | DOI | arXiv
 
[15]
2023 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115. https://doi.org/10.3934/jgm.2023005.
LibreCat | Files available | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 37654 | OA
Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos 33, no. 6 (2023). https://doi.org/10.1063/5.0142969.
LibreCat | Files available | DOI | arXiv
 
[13]
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.
LibreCat | Files available | DOI | arXiv
 
[11]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[10]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[9]
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021. https://doi.org/10.1109/CDC45484.2021.9683426.
LibreCat | Files available | DOI | arXiv
 
[8]
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 20, no. 6 (2020): 1363–1400. https://doi.org/10.1007/s10208-020-09454-z.
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser, Lisa Maria, Robert I McLachlan, and Christian Offen. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity 33, no. 5 (2020): 2335–63. https://doi.org/10.1088/1361-6544/ab7293.
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen, Christian. Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration. Palmerston North, New Zealand: Massey University, 2020.
LibreCat | Files available | Download (ext.)
 
[5]
2019 | Journal Article | LibreCat-ID: 19945 | OA
McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” ArXiv:1811.10165, n.d.
LibreCat | Files available | arXiv
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of Mathematics 48 (2018): 83–99. https://doi.org/10.53733/34 .
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
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22 Publications

Mark all

[22]
2025 | Preprint | LibreCat-ID: 58544 | OA
Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits ,” n.d.
LibreCat | Download (ext.) | arXiv
 
[21]
2025 | Preprint | LibreCat-ID: 53805 | OA
Offen, Christian. “Machine Learning of Continuous and Discrete Variational ODEs with Convergence Guarantee and Uncertainty Quantification,” n.d.
LibreCat | Files available | arXiv
 
[20]
2024 | Journal Article | LibreCat-ID: 46469 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287.
LibreCat | Files available | DOI | arXiv
 
[19]
2024 | Preprint | LibreCat-ID: 55159 | OA
Offen, Christian. “Machine Learning of Discrete Field Theories with Guaranteed Convergence and Uncertainty Quantification,” n.d.
LibreCat | Files available | arXiv
 
[18]
2023 | Conference Paper | LibreCat-ID: 34135 | OA
Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023. https://doi.org/10.1016/j.ifacol.2023.10.1457.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[17]
2023 | Conference Paper | LibreCat-ID: 42163 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79. Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57.
LibreCat | Files available | DOI | arXiv
 
[16]
2023 | Journal Article | LibreCat-ID: 29240 | OA
Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange Dynamics from Data.” Journal of Computational and Applied Mathematics 421 (2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.
LibreCat | Files available | DOI | arXiv
 
[15]
2023 | Journal Article | LibreCat-ID: 29236 | OA
McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115. https://doi.org/10.3934/jgm.2023005.
LibreCat | Files available | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 37654 | OA
Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp. “Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos 33, no. 6 (2023). https://doi.org/10.1063/5.0142969.
LibreCat | Files available | DOI | arXiv
 
[13]
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2022 | Journal Article | LibreCat-ID: 19941 | OA
McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial  Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.
LibreCat | Files available | DOI | arXiv
 
[11]
2022 | Journal Article | LibreCat-ID: 23382 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[10]
2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[9]
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021. https://doi.org/10.1109/CDC45484.2021.9683426.
LibreCat | Files available | DOI | arXiv
 
[8]
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 20, no. 6 (2020): 1363–1400. https://doi.org/10.1007/s10208-020-09454-z.
LibreCat | DOI | Download (ext.)
 
[7]
2020 | Journal Article | LibreCat-ID: 19939 | OA
Kreusser, Lisa Maria, Robert I McLachlan, and Christian Offen. “Detection of High Codimensional Bifurcations in Variational PDEs.” Nonlinearity 33, no. 5 (2020): 2335–63. https://doi.org/10.1088/1361-6544/ab7293.
LibreCat | DOI | Download (ext.)
 
[6]
2020 | Dissertation | LibreCat-ID: 19947 | OA
Offen, Christian. Analysis of Hamiltonian Boundary Value Problems and Symplectic Integration. Palmerston North, New Zealand: Massey University, 2020.
LibreCat | Files available | Download (ext.)
 
[5]
2019 | Journal Article | LibreCat-ID: 19945 | OA
McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.
LibreCat | DOI | Download (ext.)
 
[4]
2018 | Journal Article | LibreCat-ID: 19935
McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
LibreCat | DOI | Download (ext.)
 
[3]
2018 | Journal Article | LibreCat-ID: 19937
McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
LibreCat | DOI | Download (ext.)
 
[2]
2018 | Preprint | LibreCat-ID: 19940 | OA
Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” ArXiv:1811.10165, n.d.
LibreCat | Files available | arXiv
 
[1]
2018 | Journal Article | LibreCat-ID: 19943 | OA
McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of Mathematics 48 (2018): 83–99. https://doi.org/10.53733/34 .
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
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