Journal article
Variable Selection According to Goodness of Fit in Nonparametric Nonlinear System Identification
IEEE transactions on automatic control, Vol.66(7), pp.3184-3196
07/2021
DOI: 10.1109/TAC.2020.3015744
Abstract
To achieve a parsimonious model, it is necessary to rank the importance of input variables according to some measures. The problem is nontrivial in the setting of nonlinear and nonparametric system identification. Difficulties lie in the lack of structural information of the unknown system, unknown underlying probabilistic distributions, and unknown nonlinear correlations of variables. In this article, we present a way to rank variables according to goodness of fit (GoF). Asymptotic results are established, and numerical algorithms are proposed. The problem is cast in a reproducing kernel Hilbert space (RKHS) that allows us to deal with nonparametric nature of the unknown system, to avoid making strong conditions on the unknown distributions, to link GoFs to computable conditional covariance operators on RKHS, and to develop computationally friendly numerical algorithms. Numerical simulations support the theoretical developments.
Details
- Title: Subtitle
- Variable Selection According to Goodness of Fit in Nonparametric Nonlinear System Identification
- Creators
- Changming Cheng - Shanghai Jiao Tong UniversityEr-Wei Bai - University of Iowa
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on automatic control, Vol.66(7), pp.3184-3196
- Publisher
- IEEE
- DOI
- 10.1109/TAC.2020.3015744
- ISSN
- 0018-9286
- eISSN
- 1558-2523
- Grant note
- 11632011; 11702171; 51121063 / Chinese Natural Science Foundation CNS-1239509 / National Science Foundation (10.13039/501100008982)
- Language
- English
- Date published
- 07/2021
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984197308802771
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