Sparse Bayesian deep learning for dynamic system identification
نویسندگان
چکیده
This paper proposes a sparse Bayesian treatment of deep neural networks (DNNs) for system identification. Although DNNs show impressive approximation ability in various fields, several challenges still exist identification problems. First, are known to be too complex that they can easily overfit the training data. Second, selection input regressors is nontrivial. Third, uncertainty quantification model parameters and predictions necessary. The proposed approach offers principled way alleviate above by marginal likelihood/model evidence structured group sparsity-inducing priors construction. algorithm derived as an iterative regularised optimisation procedure solved efficiently typical DNNs. Remarkably, efficient recursive Hessian calculation method each layer developed, turning intractable training/optimisation process into tractable one. Furthermore, practical based on Monte-Carlo integration quantify predictions. effectiveness demonstrated linear nonlinear benchmarks achieving good competitive simulation accuracy. code reproduce experimental results open-sourced available online.
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ژورنال
عنوان ژورنال: Automatica
سال: 2022
ISSN: ['1873-2836', '0005-1098']
DOI: https://doi.org/10.1016/j.automatica.2022.110489