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Author ID: klus.stefan Recent zbMATH articles by "Klus, Stefan"
Published as: Klus, Stefan

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 310 times in 171 Documents Cited by Year
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
66
2016
Data-driven model reduction and transfer operator approximation. Zbl 1396.37083
Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank
57
2018
Data-driven approximation of the Koopman generator: model reduction, system identification, and control. Zbl 1485.93097
Klus, Stefan; Nüske, Feliks; Peitz, Sebastian; Niemann, Jan-Hendrik; Clementi, Cecilia; Schütte, Christof
39
2020
Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces. Zbl 1437.37104
Klus, Stefan; Schuster, Ingmar; Muandet, Krikamol
27
2020
Koopman operator-based model reduction for switched-system control of PDEs. Zbl 1429.93043
Peitz, Sebastian; Klus, Stefan
24
2019
Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics. Zbl 06860496
Bittracher, Andreas; Koltai, Péter; Klus, Stefan; Banisch, Ralf; Dellnitz, Michael; Schütte, Christof
20
2018
Tensor-based dynamic mode decomposition. Zbl 1404.65313
Klus, Stefan; Gelß, Patrick; Peitz, Sebastian; Schütte, Christof
15
2018
Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068
Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof
10
2021
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
9
2016
Kernel methods for detecting coherent structures in dynamical data. Zbl 1448.37100
Klus, Stefan; Husic, Brooke E.; Mollenhauer, Mattes; Noé, Frank
6
2019
An efficient algorithm for the parallel solution of high-dimensional differential equations. Zbl 1210.65145
Klus, Stefan; Sahai, Tuhin; Liu, Cong; Dellnitz, Michael
5
2011
A set-oriented numerical approach for dynamical systems with parameter uncertainty. Zbl 1357.65308
Dellnitz, Michael; Klus, Stefan; Ziessler, Adrian
5
2017
A spectral assignment approach for the graph isomorphism problem. Zbl 1470.05156
Klus, Stefan; Sahai, Tuhin
5
2018
Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198
Banisch, Ralf; Trstanova, Zofia; Bittracher, Andreas; Klus, Stefan; Koltai, Péter
4
2020
Tensor-based computation of metastable and coherent sets. Zbl 1486.65045
Nüske, Feliks; Gelß, Patrick; Klus, Stefan; Clementi, Cecilia
4
2021
Nearest-neighbor interaction systems in the tensor-train format. Zbl 1377.82015
Gelß, Patrick; Klus, Stefan; Matera, Sebastian; Schütte, Christof
3
2017
Sensing and control in symmetric networks. Zbl 1359.93047
Dellnitz, Michael; Klus, Stefan
3
2017
Feedback control of nonlinear PDEs using data-efficient reduced order models based on the Koopman operator. Zbl 1453.93056
Peitz, Sebastian; Klus, Stefan
3
2020
Koopman analysis of quantum systems. Zbl 1511.81090
Klus, Stefan; Nüske, Feliks; Peitz, Sebastian
2
2022
Overcoming the timescale barrier in molecular dynamics: transfer operators, variational principles and machine learning. Zbl 07736659
Schütte, Christof; Klus, Stefan; Hartmann, Carsten
1
2023
Continuous relaxations for the traveling salesman problem. Zbl 1430.37126
Sahai, Tuhin; Ziessler, Adrian; Klus, Stefan; Dellnitz, Michael
1
2019
Koopman-based spectral clustering of directed and time-evolving graphs. Zbl 1507.37112
Klus, Stefan; Djurdjevac Conrad, Nataša
1
2023
Overcoming the timescale barrier in molecular dynamics: transfer operators, variational principles and machine learning. Zbl 07736659
Schütte, Christof; Klus, Stefan; Hartmann, Carsten
1
2023
Koopman-based spectral clustering of directed and time-evolving graphs. Zbl 1507.37112
Klus, Stefan; Djurdjevac Conrad, Nataša
1
2023
Koopman analysis of quantum systems. Zbl 1511.81090
Klus, Stefan; Nüske, Feliks; Peitz, Sebastian
2
2022
Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068
Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof
10
2021
Tensor-based computation of metastable and coherent sets. Zbl 1486.65045
Nüske, Feliks; Gelß, Patrick; Klus, Stefan; Clementi, Cecilia
4
2021
Data-driven approximation of the Koopman generator: model reduction, system identification, and control. Zbl 1485.93097
Klus, Stefan; Nüske, Feliks; Peitz, Sebastian; Niemann, Jan-Hendrik; Clementi, Cecilia; Schütte, Christof
39
2020
Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces. Zbl 1437.37104
Klus, Stefan; Schuster, Ingmar; Muandet, Krikamol
27
2020
Diffusion maps tailored to arbitrary non-degenerate Itô processes. Zbl 1456.60198
Banisch, Ralf; Trstanova, Zofia; Bittracher, Andreas; Klus, Stefan; Koltai, Péter
4
2020
Feedback control of nonlinear PDEs using data-efficient reduced order models based on the Koopman operator. Zbl 1453.93056
Peitz, Sebastian; Klus, Stefan
3
2020
Koopman operator-based model reduction for switched-system control of PDEs. Zbl 1429.93043
Peitz, Sebastian; Klus, Stefan
24
2019
Kernel methods for detecting coherent structures in dynamical data. Zbl 1448.37100
Klus, Stefan; Husic, Brooke E.; Mollenhauer, Mattes; Noé, Frank
6
2019
Continuous relaxations for the traveling salesman problem. Zbl 1430.37126
Sahai, Tuhin; Ziessler, Adrian; Klus, Stefan; Dellnitz, Michael
1
2019
Data-driven model reduction and transfer operator approximation. Zbl 1396.37083
Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank
57
2018
Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics. Zbl 06860496
Bittracher, Andreas; Koltai, Péter; Klus, Stefan; Banisch, Ralf; Dellnitz, Michael; Schütte, Christof
20
2018
Tensor-based dynamic mode decomposition. Zbl 1404.65313
Klus, Stefan; Gelß, Patrick; Peitz, Sebastian; Schütte, Christof
15
2018
A spectral assignment approach for the graph isomorphism problem. Zbl 1470.05156
Klus, Stefan; Sahai, Tuhin
5
2018
A set-oriented numerical approach for dynamical systems with parameter uncertainty. Zbl 1357.65308
Dellnitz, Michael; Klus, Stefan; Ziessler, Adrian
5
2017
Nearest-neighbor interaction systems in the tensor-train format. Zbl 1377.82015
Gelß, Patrick; Klus, Stefan; Matera, Sebastian; Schütte, Christof
3
2017
Sensing and control in symmetric networks. Zbl 1359.93047
Dellnitz, Michael; Klus, Stefan
3
2017
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
66
2016
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
9
2016
An efficient algorithm for the parallel solution of high-dimensional differential equations. Zbl 1210.65145
Klus, Stefan; Sahai, Tuhin; Liu, Cong; Dellnitz, Michael
5
2011
all top 5

Cited by 337 Authors

17 Klus, Stefan
15 Schütte, Christof
12 Koltai, Péter
10 Peitz, Sebastian
8 Brunton, Steven L.
8 Mezić, Igor
7 Dellnitz, Michael
7 Hamzi, Boumediene
7 Kutz, J. Nathan
6 Bittracher, Andreas
6 Duan, Jinqiao
6 Nüske, Feliks
6 Sahai, Tuhin
5 Giannakis, Dimitrios
5 Li, Yang
5 Owhadi, Houman
4 Hashimoto, Yuka
4 Kevrekidis, Ioannis George
4 Ober-Blöbaum, Sina
3 Banisch, Ralf
3 Bollt, Erik M.
3 Colbrook, Matthew J.
3 Gerlach, Raphael
3 Jiang, Lijian
3 Kaiser, Eurika
3 Kawahara, Yoshinobu
3 Lu, Yubin
3 Mollenhauer, Mattes
3 Noé, Frank
3 Schuster, Ingmar
3 Stuart, Andrew M.
3 Wu, Hao
3 Ziessler, Adrian
2 Arbabi, Hassan
2 Bandtlow, Oscar F.
2 Cameron, Maria Kourkina
2 Chappell, David J.
2 Clementi, Cecilia
2 Das, Suddhasattwa
2 Dietrich, Felix
2 Dijkstra, Henk A.
2 Dinner, Aaron R.
2 Flaßkamp, Kathrin
2 Gelß, Patrick
2 Ikeda, Masahiro
2 Ishikawa, Isao
2 Just, Wolfram
2 Kaltenbach, Sebastian
2 Klebanov, Ilja
2 Korda, Milan
2 Koutsourelakis, Phaedon-Stelios
2 Lelièvre, Tony
2 Li, Mengnan
2 Liu, Xianbin
2 Lücke, Marvin
2 Monmarché, Pierre
2 Neumayer, Sebastian
2 Niemann, Jan-Hendrik
2 Nodera, Takashi
2 Richter, Martin
2 Schaller, Manuel
2 Sikorski, Alexander
2 Slawinska, Joanna
2 Slipantschuk, Julia
2 Steidl, Gabriele
2 Sullivan, Tim
2 Tanner, Gregor K.
2 Tantet, Alexis
2 Trstanova, Zofia
2 von Lindheim, Johannes
2 Weare, Jonathan Quincy
2 Weber, Marcus
2 Wilson, Dan D.
2 Worthmann, Karl
2 Xu, Shengyuan
1 Adelmann, Andreas
1 Alexander, Romeo
1 Alpay, Daniel Aron
1 Anghel, Marian
1 Ayton, Lorna J.
1 Baldovin, Marco
1 Ballard, Grey M.
1 Banaszuk, Andrzej
1 Beier, Florian
1 Benaïm, Michel
1 Bentz, Channing
1 Bieker, Katharina
1 Blachut, Chantelle
1 Bloch, Anthony Michael
1 Bouchet, Freddy
1 Bramburger, Jason J.
1 Breden, Maxime
1 Bréhier, Charles-Edouard
1 Breiten, Tobias
1 Bresolin, Davide
1 Brunton, Bingni Wen
1 Budišić, Marko
1 Burov, Dmitry A.
1 Callaham, Jared L.
1 Calvisi, Michael L.
...and 237 more Authors
all top 5

Cited in 55 Serials

17 Journal of Nonlinear Science
16 Physica D
13 SIAM Journal on Applied Dynamical Systems
11 Journal of Computational Physics
9 Automatica
9 Chaos
7 Multiscale Modeling & Simulation
5 Nonlinearity
5 Journal of Computational Dynamics
4 Journal of Fluid Mechanics
4 Journal of Statistical Physics
3 SIAM Journal on Scientific Computing
3 Applied and Computational Harmonic Analysis
3 Nonlinear Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Statistical Mechanics: Theory and Experiment
3 SIAM/ASA Journal on Uncertainty Quantification
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Computational Mechanics
2 Complexity
2 Journal of Machine Learning Research (JMLR)
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SIAM Journal on Mathematics of Data Science
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Physica A
1 Information Sciences
1 Journal of Computational and Applied Mathematics
1 Numerische Mathematik
1 Acta Applicandae Mathematicae
1 MCSS. Mathematics of Control, Signals, and Systems
1 Neural Networks
1 European Journal of Applied Mathematics
1 Neural Computation
1 Japan Journal of Industrial and Applied Mathematics
1 The Annals of Applied Probability
1 SIAM Review
1 Journal of Mathematical Imaging and Vision
1 Electronic Journal of Probability
1 Bernoulli
1 European Journal of Control
1 Dynamical Systems
1 Computational Methods in Applied Mathematics
1 Stochastics and Dynamics
1 ACM Journal of Experimental Algorithmics
1 Acta Numerica
1 Nonlinear Analysis. Hybrid Systems
1 Banach Journal of Mathematical Analysis
1 Journal of Function Spaces
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
all top 5

Cited in 36 Fields

86 Dynamical systems and ergodic theory (37-XX)
49 Numerical analysis (65-XX)
40 Probability theory and stochastic processes (60-XX)
32 Systems theory; control (93-XX)
30 Computer science (68-XX)
20 Operator theory (47-XX)
18 Statistical mechanics, structure of matter (82-XX)
16 Statistics (62-XX)
12 Fluid mechanics (76-XX)
11 Ordinary differential equations (34-XX)
11 Partial differential equations (35-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Operations research, mathematical programming (90-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
6 Functional analysis (46-XX)
4 Mechanics of deformable solids (74-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
2 Measure and integration (28-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year