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Dynamic network reconstruction from heterogeneous datasets

Yue, Zuogong ; Thunberg, Johan LU ; Pan, Wei ; Ljung, Lennart and Gonçalves, Jorge (2021) In Automatica 123.
Abstract

Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations of parameters or external disturbances. A challenging problem is to efficiently incorporate all collected data simultaneously to infer the underlying dynamic network. This paper addresses the reconstruction of dynamic networks from heterogeneous datasets under the assumption that the underlying networks share the same Boolean structure across all experiments. Parametric models are derived for dynamical structure functions, which describe causal interactions between measured variables. Multiple datasets are integrated into one regression problem with additional demands on group sparsity to assure... (More)

Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations of parameters or external disturbances. A challenging problem is to efficiently incorporate all collected data simultaneously to infer the underlying dynamic network. This paper addresses the reconstruction of dynamic networks from heterogeneous datasets under the assumption that the underlying networks share the same Boolean structure across all experiments. Parametric models are derived for dynamical structure functions, which describe causal interactions between measured variables. Multiple datasets are integrated into one regression problem with additional demands on group sparsity to assure network sparsity and structure consistency. To acquire structured group sparsity, we propose a sampling-based method, together with extended versions of l1-methods and sparse Bayesian learning. The performance of the proposed methods is benchmarked in numerical simulation. In summary, this paper presents efficient methods on network reconstruction from multiple experiments, and reveals practical experience that could guide applications.

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author
; ; ; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Heterogeneity, Multiple experiments, Network reconstruction, Sparsity, System identification
in
Automatica
volume
123
article number
109339
publisher
Pergamon Press Ltd.
external identifiers
  • scopus:85096700788
ISSN
0005-1098
DOI
10.1016/j.automatica.2020.109339
language
English
LU publication?
no
additional info
Publisher Copyright: © 2020 Elsevier Ltd
id
6d198de2-97f9-495f-9c95-930f6109fba4
date added to LUP
2024-09-05 09:03:04
date last changed
2024-09-05 15:47:41
@article{6d198de2-97f9-495f-9c95-930f6109fba4,
  abstract     = {{<p>Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations of parameters or external disturbances. A challenging problem is to efficiently incorporate all collected data simultaneously to infer the underlying dynamic network. This paper addresses the reconstruction of dynamic networks from heterogeneous datasets under the assumption that the underlying networks share the same Boolean structure across all experiments. Parametric models are derived for dynamical structure functions, which describe causal interactions between measured variables. Multiple datasets are integrated into one regression problem with additional demands on group sparsity to assure network sparsity and structure consistency. To acquire structured group sparsity, we propose a sampling-based method, together with extended versions of l<sub>1</sub>-methods and sparse Bayesian learning. The performance of the proposed methods is benchmarked in numerical simulation. In summary, this paper presents efficient methods on network reconstruction from multiple experiments, and reveals practical experience that could guide applications.</p>}},
  author       = {{Yue, Zuogong and Thunberg, Johan and Pan, Wei and Ljung, Lennart and Gonçalves, Jorge}},
  issn         = {{0005-1098}},
  keywords     = {{Heterogeneity; Multiple experiments; Network reconstruction; Sparsity; System identification}},
  language     = {{eng}},
  publisher    = {{Pergamon Press Ltd.}},
  series       = {{Automatica}},
  title        = {{Dynamic network reconstruction from heterogeneous datasets}},
  url          = {{http://dx.doi.org/10.1016/j.automatica.2020.109339}},
  doi          = {{10.1016/j.automatica.2020.109339}},
  volume       = {{123}},
  year         = {{2021}},
}