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	Nonlinear projection to latent structures method and its applications
	Zhao, SJ ; Zhang, J ; Xu, YM ; Xiong, ZH
	2010-05-06 ; 2010-05-06
关键词	PARTIAL LEAST-SQUARES MULTILAYER FEEDFORWARD NETWORKS CONSTRUCTIVE NEURAL-NETWORKS REGRESSION PROBLEMS PLS ALGORITHM PERCEPTRONS COMPONENTS NUMBER Engineering, Chemical
中文摘要	Projection to latent structures or partial least squares (PLS) is one of the most powerful linear regression techniques to deal with noisy and highly correlated data. To address the inherent nonlinearity present in the data from many industrial applications, a number of approaches have been proposed to extend it to the nonlinear case, and most of them rely on the nonlinear approximation capability of neural networks. However, these methods either merely introduce nonlinearities to the inner relationship model within the linear PLS framework or suffer from training a complicated network. In this paper, starting from an equivalent presentation of PLS, both nonlinear latent structures and nonlinear reconstruction are obtained straightforwardly through two consecutive steps. First, a radial basis function (RBF) network is utilized to extract the latent structures through linear algebra methods without the need of nonlinear optimization. This is followed by developing two feed-forward networks to reconstruct the original predictor variables and response variables. Extraction of multiple latent structures can be achieved in either sequential or parallel fashion. The proposed methodology thus possesses the capability of explicitly characterizing the nonlinear relationship between the latent structures and the original predictor variables while exhibiting fast convergence speed. This approach is appealing in diverse applications such as developing soft sensors and statistical process monitoring. It is assessed through both mathematical example and monitoring of a simulated batch polymerization reactor.
语种	英语 ; 英语
出版者	AMER CHEMICAL SOC ; WASHINGTON ; 1155 16TH ST, NW, WASHINGTON, DC 20036 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/9222]
专题	清华大学
推荐引用方式 GB/T 7714	Zhao, SJ,Zhang, J,Xu, YM,et al. Nonlinear projection to latent structures method and its applications[J],2010, 2010.
APA	Zhao, SJ,Zhang, J,Xu, YM,&Xiong, ZH.(2010).Nonlinear projection to latent structures method and its applications..
MLA	Zhao, SJ,et al."Nonlinear projection to latent structures method and its applications".(2010).

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