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QUADRATIC PLS REGRESSION
作者姓名:AGNAR  HSKULDSSON
作者单位:Danish Engineering
摘    要:We treat here an extension of linear PLS regression to include regression on quadratic PLS components.The quadratic regression can be viewed as a natural extension of linear PLS regression to quadratic PLSaccording to the H-principle of mathematical modelling.The numerical implementation is treated indetail.It is shown that this approach can be used for models with large numbers of variables.Somemodelling strategies are discussed depending on the purpose of the modelling.Applications of thisapproach are treated.


QUADRATIC PLS REGRESSION
AGNAR HSKULDSSON.QUADRATIC PLS REGRESSION[J].Journal of Geographical Sciences,1992(6).
Authors:AGNAR HSKULDSSON Danish Engineering Academy  Bldg  DK- Lyngby  Denmark
Abstract:We treat here an extension of linear PLS regression to include regression on quadratic PLS components. The quadratic regression can be viewed as a natural extension of linear PLS regression to quadratic PLS according to the H-principle of mathematical modelling.The numerical implementation is treated in detail.It is shown that this approach can be used for models with large numbers of variables.Some modelling strategies are discussed depending on the purpose of the modelling.Applications of this approach are treated.
Keywords:Non-linear PLS  Quadratic regression  Non-linear models
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