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Deep kernel learning of dynamical models from high-dimensional noisy data

Botteghi, Nicolò ; Guo, Mengwu LU and Brune, Christoph (2022) In Scientific Reports 12(1).
Abstract

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... (More)

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.

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Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Scientific Reports
volume
12
issue
1
article number
21530
publisher
Nature Publishing Group
external identifiers
  • pmid:36513711
  • scopus:85144111834
ISSN
2045-2322
DOI
10.1038/s41598-022-25362-4
language
English
LU publication?
no
additional info
Publisher Copyright: © 2022, The Author(s).
id
fb6a9a79-bb7d-4bb4-86ea-8a68380e767a
date added to LUP
2024-03-19 12:11:13
date last changed
2024-07-24 22:46:53
@article{fb6a9a79-bb7d-4bb4-86ea-8a68380e767a,
  abstract     = {{<p>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.</p>}},
  author       = {{Botteghi, Nicolò and Guo, Mengwu and Brune, Christoph}},
  issn         = {{2045-2322}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{Nature Publishing Group}},
  series       = {{Scientific Reports}},
  title        = {{Deep kernel learning of dynamical models from high-dimensional noisy data}},
  url          = {{http://dx.doi.org/10.1038/s41598-022-25362-4}},
  doi          = {{10.1038/s41598-022-25362-4}},
  volume       = {{12}},
  year         = {{2022}},
}