Edit Profile (opens in new tab) Klus, Stefan Co-Author Distance Author ID: klus.stefan Published as: Klus, Stefan Documents Indexed: 40 Publications since 2011, including 14 Additional arXiv Preprints Co-Authors: 45 Co-Authors with 39 Joint Publications 1,176 Co-Co-Authors all top 5 Co-Authors 1 single-authored 15 Schütte, Christof 7 Dellnitz, Michael 7 Nüske, Feliks 7 Peitz, Sebastian 6 Gelß, Patrick 6 Koltai, Péter 4 Noé, Frank 3 Bittracher, Andreas 3 Mollenhauer, Mattes 3 Niemann, Jan-Hendrik 3 Sahai, Tuhin 3 Schuster, Ingmar 2 Banisch, Ralf 2 Clementi, Cecilia 2 Djurdjevac Conrad, Natasa 2 Hamzi, Boumediene 2 Husic, Brooke E. 2 Wu, Hao 2 Ziessler, Adrian 1 Böcker, Joachim 1 Brunton, Steven L. 1 Conrad, Tim O. F. 1 de Silva, Brian M. 1 Eisert, Jens 1 Gebken, Bennet 1 Gerlach, Raphael 1 Hanke, Sören 1 Hartmann, Carsten 1 Hempel, Tim 1 Hoffmann, Moritz 1 Kevrekidis, Ioannis George 1 Kutz, Nathan 1 Liu, Cong 1 Mardt, Andreas 1 Matera, Sebastian 1 Muandet, Krikamol 1 Peleš, Slaven 1 Pokutta, Sebastian 1 Scherer, Martin 1 Stengl, Marian 1 Trower, Maia 1 Trstanova, Zofia 1 Wallscheid, Oliver 1 Zhang, Wei 1 Zhu, Hongyu all top 5 Serials 5 Journal of Nonlinear Science 2 Physica D 2 Dynamical Systems 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Computational Dynamics 1 Journal of Computational Physics 1 Nonlinearity 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Applied and Computational Harmonic Analysis 1 Nonlinear Dynamics 1 Chaos 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Journal of Physics A: Mathematical and Theoretical 1 Information and Inference all top 5 Fields 14 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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