Determining structural identifiability of parameter learning machines
Ran, Zhi-Yong; Hu, Bao-Gang
发表期刊NEUROCOMPUTING
2014-03-15
卷号127期号:1页码:88-97
文章类型Article
摘要This paper reports an extension of our previous study on determining structural identifiability of the generalized constraint (GC) models, which are considered to be parameter learning machines. Identifiability defines a uniqueness property to the model parameters. This property is particularly important for those physically interpretable parameters in GC models. We derive identifiability criteria according to the types of models. First, by taking the models as a family of deterministic nonlinear transformations from input space to output space, we provide a criterion for examining identifiability of the Multiple-input Multiple-output (MIMO) models. This result therefore generalizes the previous one for Single-input Single-output (SISO) and Multiple-input Single-output (MISO) models. Second, if considering the models as the mean functions of input-dependent conditional distributions within stochastic framework, we derive an identifiability criterion by means of the Kullback-Leibler divergence (KLD) and regular summary. Third, time-variant models are studied based on the exhaustive summary method. The new identifiability criterion is valid for a range of differential/difference equation models whenever their exhaustive summaries can be obtained. Several model examples from the literature are presented to examine their identifiability property. (C) 2013 Elsevier B.V. All rights reserved.
关键词Identifiability Parameter Learning Machine Exhaustive Summary Kullback-leibler Divergence Parameter Redundancy
WOS标题词Science & Technology ; Technology
关键词[WOS]GLOBAL IDENTIFIABILITY ; COMPARTMENTAL-MODELS ; PARAMETRIZATIONS ; IDENTIFICATION ; DYNAMICS ; GEOMETRY ; SYSTEMS ; DRIVEN
收录类别SCI
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence
WOS记录号WOS:000329603100010
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被引频次:10[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/2874
专题多模态人工智能系统全国重点实验室_多媒体计算
作者单位Chinese Acad Sci, Inst Automat, NLPR&LIAMA, Beijing 100190, Peoples R China
第一作者单位模式识别国家重点实验室
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Ran, Zhi-Yong,Hu, Bao-Gang. Determining structural identifiability of parameter learning machines[J]. NEUROCOMPUTING,2014,127(1):88-97.
APA Ran, Zhi-Yong,&Hu, Bao-Gang.(2014).Determining structural identifiability of parameter learning machines.NEUROCOMPUTING,127(1),88-97.
MLA Ran, Zhi-Yong,et al."Determining structural identifiability of parameter learning machines".NEUROCOMPUTING 127.1(2014):88-97.
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