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Stefan Klus
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On the numerical approximation of the Perron-Frobenius and Koopman operator
S Klus, P Koltai, C Schütte
arXiv preprint arXiv:1512.05997, 2015
3322015
Data-driven model reduction and transfer operator approximation
S Klus, F Nüske, P Koltai, H Wu, I Kevrekidis, C Schütte, F Noé
Journal of Nonlinear Science 28, 985-1010, 2018
2972018
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
S Klus, F Nüske, S Peitz, JH Niemann, C Clementi, C Schütte
Physica D: Nonlinear Phenomena 406, 132416, 2020
2262020
Koopman operator-based model reduction for switched-system control of PDEs
S Peitz, S Klus
Automatica 106, 184-191, 2019
2082019
Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations
H Wu, F Nüske, F Paul, S Klus, P Koltai, F Noé
The Journal of chemical physics 146 (15), 2017
1392017
Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces
S Klus, I Schuster, K Muandet
Journal of Nonlinear Science 30, 283-315, 2020
1322020
Tensor-based dynamic mode decomposition
S Klus, P Gelß, S Peitz, C Schütte
Nonlinearity 31 (7), 3359, 2018
972018
Multidimensional approximation of nonlinear dynamical systems
P Gelß, S Klus, J Eisert, C Schütte
Journal of Computational and Nonlinear Dynamics 14 (6), 061006, 2019
832019
Deeptime: a Python library for machine learning dynamical models from time series data
M Hoffmann, M Scherer, T Hempel, A Mardt, B de Silva, BE Husic, S Klus, ...
Machine Learning: Science and Technology 3 (1), 015009, 2021
792021
Kernel-based approximation of the Koopman generator and Schrödinger operator
S Klus, F Nüske, B Hamzi
Entropy 22 (7), 722, 2020
532020
Transition manifolds of complex metastable systems: Theory and data-driven computation of effective dynamics
A Bittracher, P Koltai, S Klus, R Banisch, M Dellnitz, C Schütte
Journal of nonlinear science 28, 471-512, 2018
492018
Tensor-based algorithms for image classification
S Klus, P Gelß
Algorithms 12 (11), 240, 2019
382019
Koopman operator-based finite-control-set model predictive control for electrical drives
S Hanke, S Peitz, O Wallscheid, S Klus, J Böcker, M Dellnitz
arXiv preprint arXiv:1804.00854, 2018
332018
Kernel methods for detecting coherent structures in dynamical data
S Klus, BE Husic, M Mollenhauer, F Noé
Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (12), 2019
322019
Kernel conditional density operators
I Schuster, M Mollenhauer, S Klus, K Muandet
International Conference on Artificial Intelligence and Statistics, 993-1004, 2020
282020
A kernel-based approach to molecular conformation analysis
S Klus, A Bittracher, I Schuster, C Schütte
The Journal of Chemical Physics 149 (24), 2018
272018
Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds
A Bittracher, S Klus, B Hamzi, P Koltai, C Schütte
Journal of Nonlinear Science 31, 1-41, 2021
262021
Nearest-neighbor interaction systems in the tensor-train format
P Gelß, S Klus, S Matera, C Schütte
Journal of Computational Physics 341, 140-162, 2017
242017
Feedback control of nonlinear PDEs using data-efficient reduced order models based on the Koopman operator
S Peitz, S Klus
The Koopman Operator in Systems and Control: Concepts, Methodologies, and …, 2020
222020
A set-oriented numerical approach for dynamical systems with parameter uncertainty
M Dellnitz, S Klus, A Ziessler
SIAM Journal on Applied Dynamical Systems 16 (1), 120-138, 2017
212017
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