mlsanityData to 14 Oct 2026

VAMPnets: Deep learning of molecular kinetics

arXiv 1710.06012 ↗First posted 16 Oct 2017stat.ML physics.bio-ph physics.chem-phcited by 136

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Abstract (arXiv)

There is an increasing demand for computing the relevant structures, equilibria and long-timescale kinetics of biomolecular processes, such as protein-drug binding, from high-throughput molecular dynamics simulations. Current methods employ transformation of simulated coordinates into structural features, dimension reduction, clustering the dimension-reduced data, and estimation of a Markov state model or related model of the interconversion rates between molecular structures. This handcrafted approach demands a substantial amount of modeling expertise, as poor decisions at any step will lead to large modeling errors. Here we employ the variational approach for Markov processes (VAMP) to develop a deep learning framework for molecular kinetics using neural networks, dubbed VAMPnets. A VAMPnet encodes the entire mapping from molecular coordinates to Markov states, thus combining the whole data processing pipeline in a single end-to-end framework. Our method performs equally or better than state-of-the art Markov modeling methods and provides easily interpretable few-state kinetic models.

Key facts. Cited by 136 papers in the map (data through 14 Oct 2026). First posted on arXiv 16 Oct 2017.

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Citing papers per year: 2021: 19; 2022: 20; 2023: 23; 2024: 19; 2025: 28; 2026: 27.

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  1. 2021Modern Koopman Theory for Dynamical Systemscited by 276
  2. 2021Enhancing Computational Fluid Dynamics with Machine Learningcited by 138
  3. 2022Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spacescited by 67
  4. 2023Timewarp: Transferable Acceleration of Molecular Dynamics by Learning Time-Coarsened Dynamicscited by 66
  5. 2022Discovering Governing Equations from Partial Measurements with Deep Delay Autoencoderscited by 58
  6. 2021Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systemscited by 45
  7. 2021Deeptime: a Python library for machine learning dynamical models from time series datacited by 38
  8. 2023Geometric Clifford Algebra Networkscited by 38
  9. 2022Neural Implicit Flow: a mesh-agnostic dimensionality reduction paradigm of spatio-temporal datacited by 37
  10. 2023Sharp Spectral Rates for Koopman Operator Learningcited by 36
  11. 2022SchNetPack 2.0: A neural network toolbox for atomistic machine learningcited by 29
  12. 2022Simulate Time-integrated Coarse-grained Molecular Dynamics with Multi-Scale Graph Networkscited by 23
38 more
  1. 2023Koopman Kernel Regressioncited by 22
  2. 2023Machine Learning for Partial Differential Equationscited by 21
  3. 2021Deep Learning Enhanced Dynamic Mode Decompositioncited by 19
  4. 2021Learning Stable Koopman Embeddingscited by 18
  5. 2023Learning invariant representations of time-homogeneous stochastic dynamical systemscited by 17
  6. 2023Implicit Transfer Operator Learning: Multiple Time-Resolution Surrogates for Molecular Dynamicscited by 14
  7. 2021Chasing Collective Variables using Autoencoders and biased trajectoriescited by 13
  8. 2021Applying Machine Learning to Study Fluid Mechanicscited by 13
  9. 2024Foundation Inference Models for Markov Jump Processescited by 13
  10. 2026Enhanced Diffusion Sampling: Efficient Rare Event Sampling and Free Energy Calculation with Diffusion Modelscited by 13
  11. 2021An Operator Theoretic Approach for Analyzing Sequence Neural Networkscited by 12
  12. 2023Neural Markov Jump Processescited by 12
  13. 2024Koopman-Assisted Reinforcement Learningcited by 11
  14. 2023PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operatorcited by 10
  15. 2022Generalized Quadratic Embeddings for Nonlinear Dynamics using Deep Learningcited by 9
  16. 2023Inexact iterative numerical linear algebra for neural network-based spectral estimation and rare-event predictioncited by 9
  17. 2024Dynamical systems and complex networks: A Koopman operator perspectivecited by 9
  18. 2024Learning the Infinitesimal Generator of Stochastic Diffusion Processescited by 9
  19. 2026A Control Theory of Predictability in Latent World Modelscited by 9
  20. 2021Coupling streaming AI and HPC ensembles to achieve 100-1000x faster biomolecular simulationscited by 8
  21. 2022GraphVAMPNet, using graph neural networks and variational approach to markov processes for dynamical modeling of biomoleculescited by 8
  22. 2022Algorithmic Differentiation for Automated Modeling of Machine Learned Force Fieldscited by 7
  23. 2024Laplace Transform Based Low-Complexity Learning of Continuous Markov Semigroupscited by 7
  24. 2025Self-Supervised Evolution Operator Learning for High-Dimensional Dynamical Systemscited by 7
  25. 2022Thermodynamics-inspired Explanations of Artificial Intelligencecited by 6
  26. 2022Physics Informed Neural Network for Dynamic Stress Predictioncited by 6
  27. 2023Latent Representation and Simulation of Markov Processes via Time-Lagged Information Bottleneckcited by 6
  28. 2023Koopman Invertible Autoencoder: Leveraging Forward and Backward Dynamics for Temporal Modelingcited by 6
  29. 2024From Biased to Unbiased Dynamics: An Infinitesimal Generator Approachcited by 6
  30. 2024MetaGFN: Exploring Distant Modes with Adapted Metadynamics for Continuous GFlowNetscited by 6
  31. 2025ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residualscited by 6
  32. 2021CKNet: A Convolutional Neural Network Based on Koopman Operator for Modeling Latent Dynamics from Pixelscited by 5
  33. 2021Deep Learning of Conjugate Mappingscited by 5
  34. 2022Learning stochastic dynamics and predicting emergent behavior using transformerscited by 5
  35. 2022Characterizing metastable states with the help of machine learningcited by 5
  36. 2024Using pretrained graph neural networks with token mixers as geometric featurizers for conformational dynamicscited by 5
  37. 2025Al-Khwarizmi: Discovering Physical Laws with Foundation Modelscited by 5
  38. 2025Efficient Parametric SVD of Koopman Operator for Stochastic Dynamical Systemscited by 5

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