Research output per year
Research output per year
- 41 results
Search results
-
2024
Existence and uniqueness of solutions of the Koopman–von Neumann equation on bounded domains
Stengl, M., Gelß, P., Klus, S. & Pokutta, S., 18 Oct 2024, In: Journal of Physics A: Mathematical and Theoretical. 57, 39, 395302.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Downloads (Pure) -
Koopman-based surrogate models for multi-objective optimization of agent-based systems
Niemann, J-H., Klus, S., Djurdjevac Conrad, N. & Schütte, C., Apr 2024, In: Physica D: Nonlinear Phenomena. 460, 134052.Research output: Contribution to journal › Article › peer-review
Open AccessFile58 Downloads (Pure) -
Transfer operators on graphs: Spectral clustering and beyond
Klus, S. & Trower, M., Mar 2024, In: Journal of Physics: Complexity. 5, 1, 015014.Research output: Contribution to journal › Article › peer-review
Open AccessFile40 Downloads (Pure) -
Variability of SST through Koopman Modes
Navarra, A., Tribbia, J., Klus, S. & Lorenzo-Sánchez, P., 15 Aug 2024, In: Journal of Climate. 37, 16, p. 4095-4114 20 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2023
Efficient approximation of molecular kinetics using random Fourier features
Nüske, F. & Klus, S., 21 Aug 2023, In: The Journal of Chemical Physics. 159, 7, 074105.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)56 Downloads (Pure) -
Koopman-Based Spectral Clustering of Directed and Time-Evolving Graphs
Klus, S. & Djurdjevac Conrad, N., Feb 2023, In: Journal of Nonlinear Science. 33, 1, 8.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)58 Downloads (Pure) -
Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning
Schütte, C., Klus, S. & Hartmann, C., May 2023, In: Acta Numerica. 32, p. 517-673 157 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile9 Citations (Scopus)160 Downloads (Pure) -
2022
Deeptime: a Python library for machine learning dynamical models from time series data
Hoffmann, M., Scherer, M., Hempel, T., Mardt, A., de Silva, B., Husic, B. E., Klus, S., Wu, H., Kutz, N., Brunton, S. L. & Noé, F., Mar 2022, In: Machine Learning: Science and Technology. 3, 1, 015009.Research output: Contribution to journal › Article › peer-review
Open Access52 Citations (Scopus) -
Kernel Autocovariance Operators of Stationary Processes: Estimation and Convergence
Mollenhauer, M., Klus, S., Schütte, C. & Koltai, P., Oct 2022, In: Journal of Machine Learning Research. 23, p. 1-34 34 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (Scopus)32 Downloads (Pure) -
Koopman analysis of quantum systems
Klus, S., Nüske, F. & Peitz, S., 5 Aug 2022, In: Journal of Physics A: Mathematical and Theoretical. 55, 31, 314002.Research output: Contribution to journal › Article › peer-review
Open Access7 Citations (Scopus) -
2021
Data-driven model reduction of agent-based systems using the Koopman generator
Niemann, J. H., Klus, S. & Schütte, C., 13 May 2021, In: PLoS ONE. 16, 5, e0250970.Research output: Contribution to journal › Article › peer-review
Open AccessFile6 Citations (Scopus)54 Downloads (Pure) -
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds
Bittracher, A., Klus, S., Hamzi, B., Koltai, P. & Schütte, C., Feb 2021, In: Journal of Nonlinear Science. 31, 1, 3.Research output: Contribution to journal › Article › peer-review
Open AccessFile8 Citations (Scopus)44 Downloads (Pure) -
Estimation of Koopman Transfer Operators for the Equatorial Pacific SST
Navarra, A., Tribbia, J. & Klus, S., 1 Apr 2021, In: Journal of the Atmospheric Sciences. 78, 4, p. 1227-1244 18 p.Research output: Contribution to journal › Article › peer-review
Open Access7 Citations (Scopus) -
Feature space approximation for kernel-based supervised learning
Gelß, P., Klus, S., Schuster, I. & Schütte, C., 7 Jun 2021, In: Knowledge-Based Systems. 221, 106935.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus) -
Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry
Klus, S., Gelß, P., Nüske, F. & Noé, F., Dec 2021, In: Machine Learning: Science and Technology. 2, 4, 045016.Research output: Contribution to journal › Article › peer-review
Open AccessFile12 Citations (Scopus)46 Downloads (Pure) -
Tensor-based computation of metastable and coherent sets
Nüske, F., Gelß, P., Klus, S. & Clementi, C., Dec 2021, In: Physica D: Nonlinear Phenomena. 427, 133018.Research output: Contribution to journal › Article › peer-review
10 Citations (Scopus) -
2020
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
Klus, S., Nüske, F., Peitz, S., Niemann, J. H., Clementi, C. & Schütte, C., May 2020, In: Physica D: Nonlinear Phenomena. 406, 132416.Research output: Contribution to journal › Article › peer-review
155 Citations (Scopus) -
Diffusion maps tailored to arbitrary non-degenerate Itô processes
Banisch, R., Trstanova, Z., Bittracher, A., Klus, S. & Koltai, P., Jan 2020, In: Applied and Computational Harmonic Analysis. 48, 1, p. 242-265 24 p.Research output: Contribution to journal › Article › peer-review
12 Citations (Scopus) -
Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces
Klus, S., Schuster, I. & Muandet, K., Feb 2020, In: Journal of Nonlinear Science. 30, 1, p. 283-315 33 p.Research output: Contribution to journal › Article › peer-review
74 Citations (Scopus) -
GraphKKE: graph Kernel Koopman embedding for human microbiome analysis
Melnyk, K., Klus, S., Montavon, G. & Conrad, T. O. F., 1 Dec 2020, In: Applied Network Science. 5, 1, 96.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Citations (Scopus)33 Downloads (Pure) -
Kernel-based approximation of the Koopman generator and Schrödinger operator
Klus, S., Nüske, F. & Hamzi, B., Jul 2020, In: Entropy. 22, 7, 722.Research output: Contribution to journal › Article › peer-review
Open AccessFile37 Citations (Scopus)65 Downloads (Pure) -
On the equivariance properties of self-adjoint matrices
Dellnitz, M., Gebken, B., Gerlach, R. & Klus, S., 2 Apr 2020, In: Dynamical Systems. 35, 2, p. 197-215 19 p.Research output: Contribution to journal › Article › peer-review
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2019
Continuous relaxations for the traveling salesman problem
Sahai, T., Ziessler, A., Klus, S. & Dellnitz, M., Sept 2019, In: Nonlinear Dynamics. 97, 4, p. 2003-2022 20 p.Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus) -
Kernel methods for detecting coherent structures in dynamical data
Klus, S., Husic, B. E., Mollenhauer, M. & Noé, F., Dec 2019, In: Chaos. 29, 12, 123112.Research output: Contribution to journal › Article › peer-review
19 Citations (Scopus) -
Koopman operator-based model reduction for switched-system control of PDEs
Peitz, S. & Klus, S., Aug 2019, In: Automatica. 106, p. 184-191 8 p.Research output: Contribution to journal › Article › peer-review
121 Citations (Scopus) -
Learning chemical reaction networks from trajectory data
Zhang, W., Klus, S., Conrad, T. & Schütte, C., 2019, In: SIAM Journal on Applied Dynamical Systems. 18, 4, p. 2000-2046 47 p.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus) -
Multidimensional Approximation of Nonlinear Dynamical Systems
Gelß, P., Klus, S., Eisert, J. & Schütte, C., Jun 2019, In: Journal of Computational and Nonlinear Dynamics. 14, 6, 061006.Research output: Contribution to journal › Article › peer-review
48 Citations (Scopus) -
Tensor-based algorithms for image classification
Klus, S. & Gelß, P., Nov 2019, In: Algorithms. 12, 11, 240.Research output: Contribution to journal › Article › peer-review
Open AccessFile17 Citations (Scopus)56 Downloads (Pure) -
2018
A kernel-based approach to molecular conformation analysis
Klus, S., Bittracher, A., Schuster, I. & Schütte, C., 28 Dec 2018, In: The Journal of Chemical Physics. 149, 24, 244109.Research output: Contribution to journal › Article › peer-review
20 Citations (Scopus) -
A spectral assignment approach for the graph isomorphism problem
Klus, S. & Sahai, T., Dec 2018, In: Information and Inference. 7, 4, p. 689-706 18 p.Research output: Contribution to journal › Article › peer-review
6 Citations (Scopus) -
Data-Driven Model Reduction and Transfer Operator Approximation
Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C. & Noé, F., Jun 2018, In: Journal of Nonlinear Science. 28, 3, p. 985-1010 26 p.Research output: Contribution to journal › Article › peer-review
184 Citations (Scopus) -
Tensor-based dynamic mode decomposition
Klus, S., Gelß, P., Peitz, S. & Schütte, C., Jul 2018, In: Nonlinearity. 31, 7, 3359.Research output: Contribution to journal › Article › peer-review
49 Citations (Scopus) -
Transition Manifolds of Complex Metastable Systems: Theory and Data-Driven Computation of Effective Dynamics
Bittracher, A., Koltai, P., Klus, S., Banisch, R., Dellnitz, M. & Schütte, C., Apr 2018, In: Journal of Nonlinear Science. 28, 2, p. 471-512 42 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile33 Citations (Scopus)25 Downloads (Pure) -
2017
Nearest-neighbor interaction systems in the tensor-train format
Gelß, P., Klus, S., Matera, S. & Schütte, C., 15 Jul 2017, In: Journal of Computational Physics. 341, p. 140-162 23 p.Research output: Contribution to journal › Article › peer-review
10 Citations (Scopus) -
Sensing and control in symmetric networks
Dellnitz, M. & Klus, S., 2 Jan 2017, In: Dynamical Systems. 32, 1, p. 61-79 19 p.Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus) -
Set-oriented numerical approach for dynamical systems with parameter uncertainty
Dellnitz, M., Klus, S. & Ziessler, A., 2017, In: SIAM Journal on Applied Dynamical Systems. 16, 1, p. 120-138 19 p.Research output: Contribution to journal › Article › peer-review
12 Citations (Scopus) -
Sparse automatic differentiation for complex networks of differential-algebraic equations using abstract elementary algebra
Peleš, S. & Klus, S., 2017, In: International Journal of Numerical Analysis and Modeling. 14, 6, p. 916-934 19 p.Research output: Contribution to journal › Article › peer-review
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Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations
Wu, H., Nüske, F., Paul, F., Klus, S., Koltai, P. & Noé, F., 21 Apr 2017, In: The Journal of Chemical Physics. 146, 15, 154104.Research output: Contribution to journal › Article › peer-review
99 Citations (Scopus) -
2016
On the numerical approximation of the Perron-Frobenius and Koopman operator
Klus, S., Koltai, P. & Schütte, C., Jan 2016, In: Journal of Computational Dynamics. 3, 1, p. 51-79 29 p.Research output: Contribution to journal › Article › peer-review
Open Access167 Citations (Scopus) -
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator
Klus, S. & Schütte, C., Nov 2016, In: Journal of Computational Dynamics. 3, 2, p. 139-161 23 p.Research output: Contribution to journal › Article › peer-review
Open Access18 Citations (Scopus) -
2011
An efficient algorithm for the parallel solution of high-dimensional differential equations
Klus, S., Sahai, T., Liu, C. & Dellnitz, M., 1 Mar 2011, In: Journal of Computational and Applied Mathematics. 235, 9, p. 3053-3062 10 p.Research output: Contribution to journal › Article › peer-review
Open Access6 Citations (Scopus)