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22 Publications
2025 | Preprint | LibreCat-ID: 58544 | 
Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier, T., Sharapova, P., & Sperling, J. (n.d.). Multiphoton, multimode state classification for nonlinear optical circuits .
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| arXiv
2025 | Preprint | LibreCat-ID: 53805 |
Offen, C. (n.d.). Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.
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| arXiv
2024 | Journal Article | LibreCat-ID: 46469 |
Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
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| DOI
| arXiv
2024 | Preprint | LibreCat-ID: 55159 |
Offen, C. (n.d.). Machine learning of discrete field theories with guaranteed convergence and uncertainty quantification.
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| arXiv
2023 | Conference Paper | LibreCat-ID: 34135 |
Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457
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| arXiv
2023 | Conference Paper | LibreCat-ID: 42163 |
Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves. In F. Nielsen & F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp. 569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57
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| arXiv
2023 | Journal Article | LibreCat-ID: 29240 |
Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange Dynamics from Data. Journal of Computational and Applied Mathematics, 421, 114780. https://doi.org/10.1016/j.cam.2022.114780
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| arXiv
2023 | Journal Article | LibreCat-ID: 29236 |
McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115. https://doi.org/10.3934/jgm.2023005
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| arXiv
2023 | Journal Article | LibreCat-ID: 37654 |
Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian Neural Networks with Automatic Symmetry Detection. Chaos, 33(6), Article 063115. https://doi.org/10.1063/5.0142969
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| arXiv
2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682
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| arXiv
2022 | Journal Article | LibreCat-ID: 19941 |
McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics, 14(3), 447–471. https://doi.org/10.3934/jgm.2022014
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| arXiv
2022 | Journal Article | LibreCat-ID: 23382 |
Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913
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| arXiv
2021 | Conference Paper | LibreCat-ID: 22894 |
Offen, C., & Ober-Blöbaum, S. (2021). Bifurcation preserving discretisations of optimal control problems: Vol. 54(19) (pp. 334–339). https://doi.org/10.1016/j.ifacol.2021.11.099
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| arXiv
2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, S., Offen, C., Ober-Blöbaum, S., & Goulart, P. (2021). Learning ODE Models with Qualitative Structure Using Gaussian Processes . 2021 60th IEEE Conference on Decision and Control (CDC), 2896. https://doi.org/10.1109/CDC45484.2021.9683426
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| arXiv
2020 | Journal Article | LibreCat-ID: 19938
McLachlan, R. I., & Offen, C. (2020). Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics, 20(6), 1363–1400. https://doi.org/10.1007/s10208-020-09454-z
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2020 | Journal Article | LibreCat-ID: 19939 |
Kreusser, L. M., McLachlan, R. I., & Offen, C. (2020). Detection of high codimensional bifurcations in variational PDEs. Nonlinearity, 33(5), 2335–2363. https://doi.org/10.1088/1361-6544/ab7293
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2020 | Dissertation | LibreCat-ID: 19947 |
Offen, C. (2020). Analysis of Hamiltonian boundary value problems and symplectic integration. Palmerston North, New Zealand: Massey University.
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2019 | Journal Article | LibreCat-ID: 19945 |
McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005
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2018 | Journal Article | LibreCat-ID: 19935
McLachlan, R. I., & Offen, C. (2018). Bifurcation of solutions to Hamiltonian boundary value problems. Nonlinearity, 2895–2927. https://doi.org/10.1088/1361-6544/aab630
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2018 | Journal Article | LibreCat-ID: 19937
McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
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