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A nonlinear partial least squares with slice transform based piecewise linear inner relation
Shan, Peng; Peng, Silong; Tang, Liang; et al.; Peng Shan
Source PublicationCHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS
2015-04-15
Volume143Issue:143Pages:97–110
SubtypeArticle
AbstractA newmodel named as nonlinear partial least squares (PLS)with slice transformation (SLT) based piecewise linear inner relation (NPLSSLT) is proposed to handle nonlinear calibration. It is based on a nonlinear inner relation combined with a modified error-based weight updating (EBWU) strategy. In NPLSSLT, the SLT based piecewise linear mapping function is used to construct the nonlinear inner relation between the input and output score vectors, and a linear PLS is used to improve the EBWU procedure. This enables the construction of a nonlinear nested PLS model that seems to be an attractive alternative to other nonlinear PLS models. The performance of NPLSSLT is evaluated on two benchmark near-infrared (NIR) datasets and compared with five other models: PLS, Quadratic PLS (QPLS), spline PLS (SPLS), neural network PLS (NNPLS) and SLT based PLS (SLT-PLS). Additionally the Wilcoxon signed rank test was used to statistically compare predictive performance of two competing calibration models. Experimental results showed that NPLSSLT did quite well on dataset 1 and not badly on dataset 2.
KeywordPartial Least Squares slice Transform piecewise Linear Mapping function nonLinearity
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS KeywordMULTIVARIATE CALIBRATION ; PLS ALGORITHM ; REGRESSION ; PROJECTION ; SPECTRA ; VECTOR ; MODELS
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Chemistry ; Computer Science ; Instruments & Instrumentation ; Mathematics
WOS SubjectAutomation & Control Systems ; Chemistry, Analytical ; Computer Science, Artificial Intelligence ; Instruments & Instrumentation ; Mathematics, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:000353730300010
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/8117
Collection智能制造技术与系统研究中心_多维数据分析
Corresponding AuthorPeng Shan
Recommended Citation
GB/T 7714
Shan, Peng,Peng, Silong,Tang, Liang,et al. A nonlinear partial least squares with slice transform based piecewise linear inner relation[J]. CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS,2015,143(143):97–110.
APA Shan, Peng,Peng, Silong,Tang, Liang,et al.,&Peng Shan.(2015).A nonlinear partial least squares with slice transform based piecewise linear inner relation.CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS,143(143),97–110.
MLA Shan, Peng,et al."A nonlinear partial least squares with slice transform based piecewise linear inner relation".CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS 143.143(2015):97–110.
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