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458 Publications
2024 | Preprint | LibreCat-ID: 53805 | 
Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification
C. Offen, (n.d.).
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| Files available
| arXiv
C. Offen, (n.d.).
2023 | Journal Article | LibreCat-ID: 21199 |
On the Universal Transformation of Data-Driven Models to Control Systems
S. Peitz, K. Bieker, Automatica 149 (2023).
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S. Peitz, K. Bieker, Automatica 149 (2023).
2023 | Journal Article | LibreCat-ID: 27426 |
On the structure of regularization paths for piecewise differentiable regularization terms
B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023) 709–741.
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B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023) 709–741.
2023 | Preprint | LibreCat-ID: 44501
Critically 3-frustrated signed graphs
C. Cappello, R. Naserasr, E. Steffen, Z. Wang, ArXiv:2304.10243 (2023).
LibreCat
| arXiv
C. Cappello, R. Naserasr, E. Steffen, Z. Wang, ArXiv:2304.10243 (2023).
2023 | Journal Article | LibreCat-ID: 44857
Algorithms for the genome median under a restricted measure of rearrangement
H.O.M. Silva, D.P. Rubert, E. Araujo, E. Steffen, D. Doerr, F.V. Martinez, RAIRO - Operations Research 57 (2023) 1045–1058.
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| DOI
H.O.M. Silva, D.P. Rubert, E. Araujo, E. Steffen, D. Doerr, F.V. Martinez, RAIRO - Operations Research 57 (2023) 1045–1058.
2023 | Preprint | LibreCat-ID: 44859
Sets of r-graphs that color all r-graphs
Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, ArXiv:2305.08619 (2023).
LibreCat
| arXiv
Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, ArXiv:2305.08619 (2023).
2023 | Preprint | LibreCat-ID: 45498
A parametrisation method for high-order phase reduction in coupled oscillator networks
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
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S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
2023 | Journal Article | LibreCat-ID: 46256
Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs
Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics 37 (2023) 1548–1565.
LibreCat
| DOI
Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics 37 (2023) 1548–1565.
2023 | Conference Paper | LibreCat-ID: 42163 |
Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves
C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.
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| DOI
| arXiv
C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric Science of Information, Springer, Cham., 2023, pp. 569–579.
2023 | Journal Article | LibreCat-ID: 29240 |
Variational Learning of Euler–Lagrange Dynamics from Data
S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.
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| DOI
| arXiv
S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics 421 (2023) 114780.
2023 | Journal Article | LibreCat-ID: 29236 |
Backward error analysis for conjugate symplectic methods
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
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| DOI
| arXiv
R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
2023 | Journal Article | LibreCat-ID: 37654 |
Hamiltonian Neural Networks with Automatic Symmetry Detection
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
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| DOI
| arXiv
E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
2023 | Journal Article | LibreCat-ID: 23428 |
Finite-data error bounds for Koopman-based prediction and control
F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
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F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
2023 | Journal Article | LibreCat-ID: 21600
Efficient time stepping for numerical integration using reinforcement learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
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| DOI
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| arXiv
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
2023 | Journal Article | LibreCat-ID: 49326
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
LibreCat
| DOI
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
2023 | Preprint | LibreCat-ID: 49371
Higher order interactions lead to "reluctant" synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
LibreCat
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
2023 | Journal Article | LibreCat-ID: 49372
Idélic Approach in Enumerating Heisenberg Extensions
J. Klüners, J. Wang, La Matematica (2023).
LibreCat
| DOI
J. Klüners, J. Wang, La Matematica (2023).
2023 | Conference Paper | LibreCat-ID: 34135 |
Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery
Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.
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Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.
2023 | Preprint | LibreCat-ID: 44840
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
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R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
2023 | Journal Article | LibreCat-ID: 50298
Packings and Steiner systems in polar spaces
K.-U. Schmidt, C. Weiß, Combinatorial Theory 3 (2023).
LibreCat
| DOI
K.-U. Schmidt, C. Weiß, Combinatorial Theory 3 (2023).
2023 | Journal Article | LibreCat-ID: 50297
Existence of small ordered orthogonal arrays
K. Schmidt, C. Weiß, Journal of Combinatorial Designs 31 (2023) 422–431.
LibreCat
| DOI
K. Schmidt, C. Weiß, Journal of Combinatorial Designs 31 (2023) 422–431.
2023 | Dissertation | LibreCat-ID: 50300
Linear programming bounds in classical association schemes
C. Weiß, Linear Programming Bounds in Classical Association Schemes, 2023.
LibreCat
| DOI
C. Weiß, Linear Programming Bounds in Classical Association Schemes, 2023.
2023 | Preprint | LibreCat-ID: 50299
Nontrivial $t$-designs in polar spaces exist for all $t$
C. Weiß, ArXiv:2311.08288 (n.d.).
LibreCat
| arXiv
C. Weiß, ArXiv:2311.08288 (n.d.).
2023 | Journal Article | LibreCat-ID: 51351
Bounds for the chromatic index of signed multigraphs
E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.
LibreCat
| DOI
E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.
2023 | Book Chapter | LibreCat-ID: 45190
Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks
C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.
LibreCat
| DOI
C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.
2023 | Journal Article | LibreCat-ID: 51357
Rotation r-graphs
E. Steffen, I.H. Wolf, Discrete Mathematics (2023).
LibreCat
| DOI
E. Steffen, I.H. Wolf, Discrete Mathematics (2023).
2023 | Preprint | LibreCat-ID: 32447 |
Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping
K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
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K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
2023 | Preprint | LibreCat-ID: 46578 |
Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).
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M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).
2023 | Book (Editor) | LibreCat-ID: 45191
The Digital Twin of Humans
I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of Humans, Springer International Publishing, Cham, 2023.
LibreCat
| DOI
I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of Humans, Springer International Publishing, Cham, 2023.
2023 | Journal Article | LibreCat-ID: 45971
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints
S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).
LibreCat
| DOI
S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).
2023 | Journal Article | LibreCat-ID: 53140
Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates
A. Contri, B. Kovács, A. Massing, ArXiv (2023).
LibreCat
| DOI
A. Contri, B. Kovács, A. Massing, ArXiv (2023).
2023 | Journal Article | LibreCat-ID: 53533
Intersection theorems for finite general linear groups
A. Ernst, K.-U. Schmidt, Mathematical Proceedings of the Cambridge Philosophical Society 175 (2023) 129–160.
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| DOI
A. Ernst, K.-U. Schmidt, Mathematical Proceedings of the Cambridge Philosophical Society 175 (2023) 129–160.
2022 | Book Chapter | LibreCat-ID: 16296 |
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.
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S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.
2022 | Book Chapter | LibreCat-ID: 30294
Efficient Virtual Design and Testing of Autonomous Vehicles
S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
LibreCat
| DOI
S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
2022 | Journal Article | LibreCat-ID: 30490
Continuous and discrete Noether's fractional conserved quantities for restricted calculus of variations
J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.
LibreCat
J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.
2022 | Journal Article | LibreCat-ID: 30861
Turnpike Property in Optimal Microbial Metabolite Production
J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).
LibreCat
| DOI
J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).
2022 | Journal Article | LibreCat-ID: 29673 |
Koopman analysis of quantum systems
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
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| arXiv
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
2022 | Preprint | LibreCat-ID: 34618 |
Using second-order information in gradient sampling methods for nonsmooth optimization
B. Gebken, ArXiv:2210.04579 (2022).
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| arXiv
B. Gebken, ArXiv:2210.04579 (2022).
2022 | Dissertation | LibreCat-ID: 31556 |
Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization
B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
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B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
2022 | Preprint | LibreCat-ID: 33150 |
Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients
M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
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M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
2022 | Journal Article | LibreCat-ID: 20731 |
On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation
K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.
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K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.
2022 | Preprint | LibreCat-ID: 42647
Chow groups of orders in number fields
M. Kirschmer, J. Klüners, ArXiv:2208.14688 (2022).
LibreCat
| arXiv
M. Kirschmer, J. Klüners, ArXiv:2208.14688 (2022).
2022 | Journal Article | LibreCat-ID: 34839
ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group
J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.
LibreCat
| DOI
| arXiv
J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805.
2022 | Journal Article | LibreCat-ID: 34835
The asymptotics of nilpotent Galois groups
J. Klüners, Acta Arithmetica 204 (2022) 165–184.
LibreCat
| DOI
| arXiv
J. Klüners, Acta Arithmetica 204 (2022) 165–184.
2022 | Preprint | LibreCat-ID: 43392
Chow groups of orders in number fields
M. Kirschmer, J. Klüners, (2022).
LibreCat
M. Kirschmer, J. Klüners, (2022).
2022 | Journal Article | LibreCat-ID: 44624
Manifold turnpikes, trims, and symmetries
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.
LibreCat
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788.
2022 | Journal Article | LibreCat-ID: 33741
Symmetric Set Coloring of Signed Graphs
C. Cappello, E. Steffen, Annals of Combinatorics (2022).
LibreCat
| DOI
| arXiv
C. Cappello, E. Steffen, Annals of Combinatorics (2022).
2022 | Journal Article | LibreCat-ID: 33950
Frustration-critical signed graphs
C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193.
LibreCat
| DOI
| arXiv
C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193.
2022 | Journal Article | LibreCat-ID: 45854
Binary Hermitian Lattices over Number Fields
M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.
LibreCat
| DOI
M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.
2022 | Journal Article | LibreCat-ID: 19941 |
Backward error analysis for variational discretisations of partial differential equations
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
LibreCat
| Files available
| DOI
| arXiv
R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.