Preprint (66)

2024
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Baran, B.; Benner, P.; Saak, J.; Stillfjord, T.: Numerical Methods for Closed-Loop Systems with Non-Autonomous Data. (2024)
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Bauer, S.; Benner, P.; Bereau, T.; Blum, V.; Boley, M.; Carbogno, C.; A. Catlow, C. R.; Dehm, G.; Eibl, S.; Ernstorfer, R. et al.; Fekete, Á.; Foppa, L.; Fratzl, P.; Freysoldt, C.; Gault, B.; M. Ghiringhelli, L.; Sajal, K. G.; Gladyshev, A.; Goyal, P. K.; Hattrick-Simpers, J.; Kabalan, L.; Karpov, P.; S. Khorrami, M.; Koch, C.; Kokott, S.; Kosch, T.; Kowalec, I.; Kremer, K.; Leitherer, A.; Li, Y.; Liebscher, C. H.; Logsdail, A. J.; Lu, Z.; Luong, F.; Marek, A.; Merz, F.; R. Mianroodi, J.; Neugebauer, J.; Purcell, T. A. R.; Raabe, D.; Rampp, M.; Rossi, M.; Rost, J.-M.; Saalmann, U.; Saxena, A.; Sbailo, L.; Scheffler, M.; Scheidgen, M.; Schloz, M.; Schmidt, D. F.; Teshuva, S.; Trunschke, A.; Wei, Y.; Weikum, G.; Xian, R. P.; Yao, Y.; Zhao, M.: Roadmap on Data-Centric Materials Science. (2024)
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Gosea, I. V.; Peterson, L.; Goyal, P. K.; Bremer, J.; Sundmacher, K.; Benner, P.: Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference. (2024)
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Grushkovskaya, V.; Vasylieva, I.; Zuyev, A.: Partial Stabilization of Nonlinear Systems Along a Given Trajectory. (2024)
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Heiland, J.; Yongho, K.: Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows. (2024)
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Heiland, J.; Yongho, K.; Werner, S. W. R.: Deep Polytopic Autoencoders for Low-Dimensional Linear Parameter-Varying Approximations and Nonlinear Feedback Design. (2024)
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Hellwig, P.; Dittrich, A.; Heyer, R.; Reichl, U.; Benndorf, D.: Detection, isolation and characterisation of phage-host complexes using BONCAT and click chemistry. (2024)
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Karachalios, D.; Gosea, I. V.; Gkimisis, L.; Antoulas, A. C.: Data-driven quadratic modeling in the Loewner framework from input-output time-domain measurements. (2024)
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Karsten, C. B.; Buettner, F. F. R.; Cajic, S.; Nehlmeier, I.; Roshani, B.; Klippert, A.; Sauermann, U.; Stolte-Leeb, N.; Reichl, U.; Gerardy-Schahn, R. et al.; Rapp, E.; Stahl-Hennig, C.; Pöhlmann, S.: Macrophage- and CD4+ T cell-derived SIV differ in glycosylation, infectivity and neutralization sensitivity. (2024)
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Mlinarić, P.; Benner, P.; Gugercin, S.: Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems. (2024)
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Peterson, L.; Gosea, I. V.; Benner, P.; Sundmacher, K.: Digital Twins in Process Engineering: An Overview on Computational and Numerical Methods. (2024)
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Philipp, F. M.; Schaller, M.; Boshoff, S.; Peitz, S.; Nüske, F.; Worthmann, K.: Extended Dynamic Mode Decomposition: Sharp bounds on the sample efficiency. (2024)
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Pontes Duff, I.; Goyal, P. K.; Benner, P.: Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. (2024)
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Przybilla, J.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation of Descriptor Systems with a Quadratic Output. (2024)
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Saak, J.; Werner, S. W. R.: Using LDLT Factorizations in Newton's Method for Solving General Large-Scale Algebraic Riccati Equations. (2024)
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Veluvali, P.; Heiland, J.; Benner, P.: MaRDIFlow: A CSE Workflow Framework for Abstracting Meta-Data from FAIR Computational Experiments. (2024)
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Zuyev, A.; Feng, L.; Benner, P.: Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control Systems. (2024)
2023
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Aumann, Q.; Werner, S. W. R.: Adaptive Choice of Near-Optimal Expansion Points for Interpolation-Based Structure-Preserving Model Reduction. (2023)
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Das, A.; Heiland, J.: Low-order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows. (2023)
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Forootani, A.; Goyal, P. K.; Benner, P.: A Robust SINDy Approach by Combining Neural Networks and an Integral Form. (2023)
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Goyal, P. K.; Pontes Duff, I.; Benner, P.: Inference of Continuous Linear Systems from Data with Guaranteed Stability. (2023)
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Goyal, P. K.; Pontes Duff, I.; Benner, P.: Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. (2023)
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Goyal, P. K.; Yildiz, S.; Benner, P.: Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. (2023)
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Kergus, P.; Gosea, I. V.; Petreczky, M.: Loewner Functions for Bilinear Systems. (2023)
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Kour, K.; Dolgov, S.; Benner, P.; Stoll, M.; Pfeffer, M.: A Weighted Subspace Exponential Kernel for Support Tensor Machines. (2023)
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Lund, K.; Palitta, D.: Low-rank-modified Galerkin Methods for the Lyapunov Equation. (2023)
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Mlinarić, P.; Benner, P.; Gugercin, S.: Interpolatory H2-Optimality Conditions for Structured Linear Time-invariant Systems. (2023)
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Palitta, D.; Tomljanović, Z.; Nakić, I.; Saak, J.: Efficient Solution of Sequences of Parametrized Lyapunov Equations with Applications. (2023)
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Peitz, S.; Harder, H.; Nüske, F.; Philipp, F.; Schaller, M.; Worthmann, K.: Partial observations, coarse graining and equivariance in Koopman operator theory for large-scale dynamical systems. (2023)
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Philipp, F.; Schaller, M.; Worthmann, K.; Peitz, S.; Nüske, F.: Error analysis of kernel EDMD for prediction and control in the Koopman framework. (2023)
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Reiter, S.; Gosea, I. V.; Gugercin, S.: Generalizations of Data-Driven Balancing: What to Sample for Different Balancing-Based Reduced Models. (2023)
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Savchenko, M. O.; Skrypnik, I. I.; Yevgenieva, Y.: A Note on the Weak Harnack Inequality for Unbounded Minimizers of Elliptic Functionals with Generalized Orlicz Growth. (2023)
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Sun, S.; Feng, L.; Chan, H. S.; Miličić, T.; Vidaković-Koch, T.; Benner, P.: Parametric Dynamic Mode Decomposition for Nonlinear Parametric Dynamical Systems. (2023)
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Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. (2023)
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Yildiz, S.; Goyal, P. K.; Benner, P.: Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. (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. (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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Kweyu, C. M.; Khoromskaia, V.; Khoromskij, B.; Stein, M.; Benner, P.: Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format. (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. (2021)
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Przybilla, J.; Voigt, M.: Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation. (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. (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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