Multidimensional single-index signal regression

Chemometrics and Intelligent Laboratory Systems

Volumn 109, Issue 2, 2011, Pages 120-130

  Marx, Brian D ^a   Eilers, Paul H C ^b   Li, Bin ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

^b ERASMUS MEDICAL CENTER   (Netherlands)

Author keywords

Multivariate calibration; P splines; Signal regression; Single index; Spectra; Tensor product; Ternary mixtures

Indexed keywords

ARTICLE; CALIBRATION; INTERMETHOD COMPARISON; LINEAR SYSTEM; MATHEMATICAL MODEL; MULTIDIMENSIONAL SCALING; MULTIVARIATE ANALYSIS; PRIORITY JOURNAL; PROCESS OPTIMIZATION; REGRESSION ANALYSIS;

EID: 80055101127     PISSN: 01697439     EISSN: 18733239     Source Type: Journal    
DOI: 10.1016/j.chemolab.2011.08.006     Document Type: Article

References (15)

1. Cox C. Generalized linear models - the missing link. Journal of the Royal Statistical Society, Series C 1984, 33:18-24.
2. Dierckx P. Curve and Surface Fitting with Splines 1995, Clarendon Press, Oxford.
3. Eilers P.H.C., Li B., Marx B.D. Multivariate calibration with single-index signal regression. Chemometrics and Intelligent Laboratory Systems 2009, 96:196-202.
4. Eilers P.H.C., Marx B.D. Flexible smoothing with B-splines and penalties (with comments and rejoinder). Statistical Science 1996, 11:89-121.
5. Eilers P.H.C., Marx B.D. Generalized linear additive smooth structures. Journal of Computational and Graphical Statistics 2002, 11(4):758-783.
6. Eilers P.H.C., Marx B.D. Multivariate calibration with temperature interaction using two-dimensional penalized signal regression. Chemometrics and Intelligent Laboratory Systems 2003, 66:159-174.
7. Eriksson L., Trygg J., Johansson E., Bro R., Wold S. Orthogonal signal correction, wavelet analysis, and multivariate calibration of complicated fluorescence data. Analytica Chimica Acta 2000, 420:181-195.
8. Hastie T., Tibshirani R. Generalized Additive Models 1990, Chapman and Hall, London.
9. Friedman J.H., Stuetzle W. Projection pursuit regression. Journal of the American Statistical Association 1981, 76:817-823.
10. Marx B.D., Eilers P.H.C. Generalized linear regression on sampled signals and curves: a P-spline approach. Technometrics 1999, 41:1-13.
11. Marx B.D., Eilers P.H.C. Multivariate calibration: a comparison of methods. Journal of Chemometrics 2002, 16:129-140.
12. Marx B.D., Eilers P.H.C. Multidimensional penalized signal regression. Technometrics 2005, 47:13-22.
13. Marx B.D., Eilers P.H.C., Li B. Generalized single-index signal regression 2010, Technical Report 2010-1, Department of Experimental Statistics, Louisiana State University.
14. Thissen U., Üstün B., Melssen W.J., Buydens L.M.C. Multivariate calibration with least-squares support vector machines. Analytical Chemistry 2004, 76:3099-3105.
15. Üstün B., Melssen W.J., Oudenhuijzen M., Buydens L.M.C. Determination of optimal support vector regression parameters by genetic algorithms and simplex optimization. Analytica Chimica Acta 2005, 544:292-305.