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Dynamic systems identification with Gaussian processes

Author

Listed:
  • Juš Kocijan
  • Agathe Girard
  • Blaž Banko
  • Roderick Murray-Smith

Abstract

This paper describes the identification of nonlinear dynamic systems with a Gaussian process (GP) prior model. This model is an example of the use of a probabilistic non-parametric modelling approach. GPs are flexible models capable of modelling complex nonlinear systems. Also, an attractive feature of this model is that the variance associated with the model response is readily obtained, and it can be used to highlight areas of the input space where prediction quality is poor, owing to the lack of data or complexity (high variance). We illustrate the GP modelling technique on a simulated example of a nonlinear system.

Suggested Citation

  • Juš Kocijan & Agathe Girard & Blaž Banko & Roderick Murray-Smith, 2005. "Dynamic systems identification with Gaussian processes," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 11(4), pages 411-424, December.
  • Handle: RePEc:taf:nmcmxx:v:11:y:2005:i:4:p:411-424
    DOI: 10.1080/13873950500068567
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    Cited by:

    1. Christos Merkatas & Simo Särkkä, 2023. "System identification using autoregressive Bayesian neural networks with nonparametric noise models," Journal of Time Series Analysis, Wiley Blackwell, vol. 44(3), pages 319-330, May.
    2. Georgios D. Kontes & Georgios I. Giannakis & Víctor Sánchez & Pablo De Agustin-Camacho & Ander Romero-Amorrortu & Natalia Panagiotidou & Dimitrios V. Rovas & Simone Steiger & Christopher Mutschler & G, 2018. "Simulation-Based Evaluation and Optimization of Control Strategies in Buildings," Energies, MDPI, vol. 11(12), pages 1-23, December.

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