A kernel-based approach to molecular conformation analysis
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Abstract (arXiv)
We present a novel machine learning approach to understanding conformation dynamics of biomolecules. The approach combines kernel-based techniques that are popular in the machine learning community with transfer operator theory for analyzing dynamical systems in order to identify conformation dynamics based on molecular dynamics simulation data. We show that many of the prominent methods like Markov State Models, EDMD, and TICA can be regarded as special cases of this approach and that new efficient algorithms can be constructed based on this derivation. The results of these new powerful methods will be illustrated with several examples, in particular the alanine dipeptide and the protein NTL9.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Sep 2018.
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Citing papers per year: 2021: 1; 2022: 2; 2023: 0; 2024: 2; 2025: 3.
8 papers.
- 2024Dynamical systems and complex networks: A Koopman operator perspectivecited by 9
- 2022Koopman-based spectral clustering of directed and time-evolving graphscited by 6
- 2021CKNet: A Convolutional Neural Network Based on Koopman Operator for Modeling Latent Dynamics from Pixelscited by 5
- 2024SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systemscited by 4
- 2022Learning Transfer Operators by Kernel Density Estimationcited by 2
- 2025Kernel Dynamic Mode Decomposition For Sparse Reconstruction of Closable Koopman Operatorscited by 0
- 2025Avoiding spectral pollution for transfer operators using residualscited by 0
- 2025Bayesian Transfer Operators in Reproducing Kernel Hilbert Spacescited by 0
- 2025Bayesian Transfer Operators in Reproducing Kernel Hilbert Spaces26 Sep 2025
- 2025Avoiding spectral pollution for transfer operators using residuals22 Jul 2025
- 2025Kernel Dynamic Mode Decomposition For Sparse Reconstruction of Closable Koopman Operators11 May 2025
- 2024Dynamical systems and complex networks: A Koopman operator perspective14 May 2024
- 2024SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systems5 Feb 2024
- 2022Learning Transfer Operators by Kernel Density Estimation1 Aug 2022
- 2022Koopman-based spectral clustering of directed and time-evolving graphs6 Apr 2022
- 2021CKNet: A Convolutional Neural Network Based on Koopman Operator for Modeling Latent Dynamics from Pixels19 Feb 2021