Local Strategy Combined with a Wavelength Selection Method for Multivariate Calibration

One of the essential factors influencing the prediction accuracy of multivariate calibration models is the quality of the calibration data. A local regression strategy, together with a wavelength selection approach, is proposed to build the multivariate calibration models based on partial least squares regression. The local algorithm is applied to create a calibration set of spectra similar to the spectrum of an unknown sample; the synthetic degree of grey relation coefficient is used to evaluate the similarity. A wavelength selection method based on simple-to-use interactive self-modeling mixture analysis minimizes the influence of noisy variables, and the most informative variables of the most similar samples are selected to build the multivariate calibration model based on partial least squares regression. To validate the performance of the proposed method, ultraviolet-visible absorbance spectra of mixed solutions of food coloring analytes in a concentration range of 20–200 µg/mL is measured. Experimental results show that the proposed method can not only enhance the prediction accuracy of the calibration model, but also greatly reduce its complexity.

[1]  Jui-Chen Huang,et al.  Application of grey system theory in telecare , 2011, Comput. Biol. Medicine.

[2]  Chu Zhang,et al.  Application of Visible and Near-Infrared Hyperspectral Imaging to Determine Soluble Protein Content in Oilseed Rape Leaves , 2015, Sensors.

[3]  A. Niazi,et al.  Genetic Algorithm Applied to Selection of Wavelength in Partial Least Squares for Simultaneous Spectrophotometric Determination of Nitrophenol Isomers , 2006 .

[4]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[5]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[6]  Yanzhu Hu,et al.  A systematic approach to identify the hierarchical structure of accident factors with grey relations , 2014 .

[7]  Shouxin Ren,et al.  Simultaneous multicomponent analysis of overlapping spectrophotometric signals using a wavelet-based latent variable regression. , 2008, Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy.

[8]  D. Massart,et al.  Elimination of uninformative variables for multivariate calibration. , 1996, Analytical chemistry.

[9]  Rae Baxter,et al.  Acknowledgments.-The authors would like to , 1982 .

[10]  Huazhou Chen,et al.  Waveband selection for NIR spectroscopy analysis of soil organic matter based on SG smoothing and MWPLS methods , 2011 .

[11]  B. Lavine,et al.  Genetic Algorithms in Analytical Chemistry , 1999 .

[12]  B. Kowalski,et al.  Partial least-squares regression: a tutorial , 1986 .

[13]  Chris W. Brown,et al.  Self-Modeling Mixture Analysis by Interactive Principal Component Analysis , 2000 .

[14]  Yann Batonneau,et al.  Combined use of conventional and second-derivative data in the SIMPLISMA self-modeling mixture analysis approach. , 2002, Analytical chemistry.

[15]  Claudy Jolivet,et al.  Optimization criteria in sample selection step of local regression for quantitative analysis of large soil NIRS database , 2012 .

[16]  F. Wilcoxon Individual Comparisons by Ranking Methods , 1945 .

[17]  C. Heckler,et al.  Self-modeling mixture analysis of categorized pyrolysis mass spectral data with the SIMPLISMA approach , 1992 .

[18]  Desire L. Massart,et al.  A comparison of multivariate calibration techniques applied to experimental NIR data sets: Part II. Predictive ability under extrapolation conditions , 2001 .

[19]  Dolores Pérez-Marín,et al.  Evaluation of a new local modelling approach for large and heterogeneous NIRS data sets , 2010 .

[20]  Yi Lin,et al.  Grey Systems: Theory and Applications , 2010 .

[21]  M. Forina,et al.  Multivariate calibration. , 2007, Journal of chromatography. A.

[22]  Wen-Hsiang Wu,et al.  Applying hierarchical grey relation clustering analysis to geographical information systems - A case study of the hospitals in Taipei City , 2012, Expert Syst. Appl..

[23]  M. Chiu,et al.  A new data-based methodology for nonlinear process modeling , 2004 .

[24]  Tahir Mehmood,et al.  A review of variable selection methods in Partial Least Squares Regression , 2012 .

[25]  Manabu Kano,et al.  Development of soft-sensor using locally weighted PLS with adaptive similarity measure , 2013 .

[26]  John H. Kalivas,et al.  Multivariate Calibration, an Overview , 2005 .

[27]  Qun Ma,et al.  A novel model selection strategy using total error concept. , 2013, Talanta.