Deep Kernel Learning of Dynamical Models from High-Dimensional Noisy Data
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Abstract (arXiv)
This work proposes a Stochastic Variational Deep Kernel Learning method for the data-driven discovery of low-dimensional dynamical models from high-dimensional noisy data. The framework is composed of an encoder that compresses high-dimensional measurements into low-dimensional state variables, and a latent dynamical model for the state variables that predicts the system evolution over time. The training of the proposed model is carried out in an unsupervised manner, i.e., not relying on labeled data. Our learning method is evaluated on the motion of a pendulum -- a well studied baseline for nonlinear model identification and control with continuous states and control inputs -- measured via high-dimensional noisy RGB images. Results show that the method can effectively denoise measurements, learn compact state representations and latent dynamical models, as well as identify and quantify modeling uncertainties.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 24 of its 54 references that are in the map. First posted on arXiv 27 Aug 2022.
Builds on
24 of 54 references.
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12 more
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Built on by
Citing papers per year: 2023: 2; 2024: 2; 2025: 2.
6 papers.
- 2023Multi-fidelity reduced-order surrogate modelingcited by 18
- 2024VENI, VINDy, VICI: a generative reduced-order modeling framework with uncertainty quantificationcited by 9
- 2023Gaussian process learning of nonlinear dynamicscited by 5
- 2024Recurrent Deep Kernel Learning of Dynamical Systemscited by 1
- 2025Towards scientific machine learning for granular material simulations -- challenges and opportunitiescited by 1
- 2025Multi-Fidelity Delayed Acceptance: hierarchical MCMC sampling for Bayesian inverse problems combining multiple solvers through deep neural networkscited by 1
- 2025Multi-Fidelity Delayed Acceptance: hierarchical MCMC sampling for Bayesian inverse problems combining multiple solvers through deep neural networks18 Dec 2025
- 2025Towards scientific machine learning for granular material simulations -- challenges and opportunities1 Apr 2025
- 2024VENI, VINDy, VICI: a generative reduced-order modeling framework with uncertainty quantification31 May 2024
- 2024Recurrent Deep Kernel Learning of Dynamical Systems30 May 2024
- 2023Gaussian process learning of nonlinear dynamics19 Dec 2023
- 2023Multi-fidelity reduced-order surrogate modeling1 Sep 2023