Preprint (31)

2023
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Zhang, J.; Heiland, J.; Benner, P.; Du, X.: Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. (2023)
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Zuyev, A.; Benner, P.: Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs. (2023)
2022
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Baran, B.; Benner, P.; Saak, J.: Riccati-feedback Control of a Two-dimensional Two-phase Stefan Problem. (2022)
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Kergus, P.; Gosea, I. V.: Data-driven approximation and reduction from noisy data in matrix pencil frameworks. (2022)
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Liang, B.; Mitchell, T.; Sun, J.: NCVX: A User-Friendly and Scalable Package for Nonconvex Optimization in Machine Learning. (2022)
2021
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Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)
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Goyal, P. K.; Benner, P.: Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. The Symbiosis of Deep Learning and Differential Equations Workshop at NeurIPS 2021, 9 pages (2021)
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Goyal, P. K.; Benner, P.: Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)
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Prerna , A.; Bdeir, N.; Gärtner, S.; Reiter, S.; Pelz, L.; Felgenhauer, U.; Reichl, U.; Ludwig, S.; Weber, F.; Hoffmann, M. et al.; Winkler, M.; Pöhlmann , S.: Interferon induction and not replication interference mainly determines anti-influenza virus activity of defective interfering particles. bioRxiv (2021)
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Sarna, N.; Benner, P.: Learning Reduced Order Models from Data for Hyperbolic PDEs. (2021)
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Van Den Bossche, T.; Kunath, B. J.; Schallert, K.; Schäpe, S. S.; Abraham, P. E.; Armengaud, J.; Arntzen, M. Ø.; Bassignani, A.; Benndorf, D.; Fuchs, S. et al.; Giannone, R. J.; Griffin, T. J.; Hagen, L. H.; Halder, R.; Henry, C.; Hettich, R. L.; Heyer, R.; Jagtap, P.; Jehmlich, N.; Jensen, M.; Juste, C.; Kleiner, M.; Langella, O.; Lehmann, T.; Leith, E.; May, P.; Mesuere, B.; Miotello, G.; Peters, S. L.; Pible, O.; Reichl, U.; Renard, B. Y.; Schiebenhoefer, H.; Scryba, A.; Tanca, A.; Trappe, K.; Trezzi, J.-P.; Uzzau, S.; Verschaffelt, P.; von Bergen, M.; Wilmes, P.; Wolf, M.; Martens, L.; Muth, T.: Critical Assessment of Metaproteome Investigation (CAMPI): A Multi-Lab Comparison of Established Workflows. bioRxiv (2021)
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Zhang, Q.; Gosea, I. V.; Antoulas, A. C.: Factorization of the Loewner matrix pencil and its consequences. (2021)
2020
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Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
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Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)
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Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. (2020)
2019
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Khodkar, M. A.; Hassanzadeh, P.; Antoulas, A. C.: A Koopman-based Framework for Forecasting the Spatiotemporal Evolution of Chaotic Dynamics with Nonlinearities Modeled as Exogenous Forcings. (2019)
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Yue, Y.; Feng, L.; Benner, P.: An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)
2018
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Khodkar, M. A.; Antoulas, A. C.; Hassanzadeh, P.: Data-driven Spatio-temporal Prediction of High-dimensional Geophysical Turbulence using Koopman Operator Approximation. (2018)
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Kungurtsev, V.; Mitchell, T.; Vyhlidal, T.: A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators. (2018)
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Kürschner, P.: Residual Minimizing Shift Parameters for the Low-Rank ADI Iteration. (2018)
2017
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Behr, M.; Benner, P.; Heiland, J.: Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. (2017)
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Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
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Gosea, I. V.; Antoulas, A. C.: Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. (2017)
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Karachalios, D.; Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Case study: Approximations of the Bessel Function. (2017)
2016
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Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
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Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2016)
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