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The Curse of Dimensionality and Variable Selection in Nonlinear Non-parametric System IdentificationThis work was supported in part by NSF CNS-1239509, the National Key Basic Research Program of China (973 program) under Grant No. 2014CB845301 and the National Natural Science Foundation (NSF) of China under Grants Nos. 61273193, 61227902, and 61134013, and by the Australian Research Council under Grant DP120104986
Journal article   Open access

The Curse of Dimensionality and Variable Selection in Nonlinear Non-parametric System IdentificationThis work was supported in part by NSF CNS-1239509, the National Key Basic Research Program of China (973 program) under Grant No. 2014CB845301 and the National Natural Science Foundation (NSF) of China under Grants Nos. 61273193, 61227902, and 61134013, and by the Australian Research Council under Grant DP120104986

Er-Wei Bai, Wenxiao Zhao and Wei Xing Zheng
IFAC PapersOnLine, Vol.48(28), pp.1279-1284
2015
DOI: 10.1016/j.ifacol.2015.12.308
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https://doi.org/10.1016/j.ifacol.2015.12.308View
Published (Version of record) Open Access

Abstract

The problem of variable selection in system identification of a high dimensional nonlinear non-parametric system is described. The inherent difficulty, the curse of dimensionality, is introduced. Some recent results of variable selection in system identification are presented. Finally, a simulation example is given to justify the theoretical results.
curse of dimensionality nonlinear non-parametric system Variable selection

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