A continuous regression function for the Delaunay calibration method
作者： Francesco Corona , Elia Liitiäinen , Amaury Lendasse , Roberto Baratti , Lorenzo Sassu
DOI: 10.3182/20100705-3-BE-2011.00032
关键词:
摘要: Abstract The Delaunay tessellation and topological regression is a local simplex method for multivariate calibration. method, developed within computational geometry, has potential applications in online analytical chemistry process monitoring. This study proposes novel approach to perform prediction extrapolation using calibration method. main property of the proposed extension continuity estimated function also outside domain. To support presentation, an application estimating aromatic composition Light Cycle Oil by Near Infrared spectroscopy discussed.
aalto.fi 
sci-hub.se 参考文章(13)
M. Valleur, M. Sanchez, C. Boniface, J. Gil, D. Lambert, A. Espinosa, A. Martens, B. Descales, S. Osta, On-line NIR analysis and advanced control improve gasoline blending Oil & Gas Journal. ,(1994)
Francesco Corona, Elia Liitiäinen, Amaury Lendasse, Roberto Baratti, Lorenzo Sassu, Delaunay tessellation and topological regression: An application to estimating product properties from spectroscopic measurements Computer-aided chemical engineering. ,vol. 27, pp. 1179- 1184 ,(2009) , 10.1016/S1570-7946(09)70587-5
John A. Lee, Michel Verleysen, Nonlinear Dimensionality Reduction ,(2007)
JEROME J. WORKMAN, Review of Process and Non-invasive Near-Infrared and Infrared Spectroscopy: 1993-1999 Applied Spectroscopy Reviews. ,vol. 34, pp. 1- 89 ,(1999) , 10.1081/ASR-100100839
Ling Jin, QS Xu, J Smeyers-Verbeke, DL Massart, None, Updating multivariate calibrations with the delaunay triangulation method. Applied Spectroscopy. ,vol. 59, pp. 1125- 1135 ,(2005) , 10.1366/0003702055012627
Ling Jin, QS Xu, J Smeyers-Verbeke, DL Massart, None, Updating multivariate calibration with the Delaunay triangulation method: The creation of a new local model Chemometrics and Intelligent Laboratory Systems. ,vol. 80, pp. 87- 98 ,(2006) , 10.1016/J.CHEMOLAB.2005.08.003
Joachim Gudmundsson, Mikael Hammar, Marc van Kreveld, Higher order Delaunay triangulations Computational Geometry: Theory and Applications. ,vol. 23, pp. 85- 98 ,(2002) , 10.1016/S0925-7721(01)00027-X
L. Jin, J.A. Fernández Pierna, Q. Xu, F. Wahl, O.E. de Noord, C.A. Saby, D.L. Massart, Delaunay triangulation method for multivariate calibration Analytica Chimica Acta. ,vol. 488, pp. 1- 14 ,(2003) , 10.1016/S0003-2670(03)00629-9
Charles J. Stone, Consistent Nonparametric Regression Annals of Statistics. ,vol. 5, pp. 595- 620 ,(1977) , 10.1214/AOS/1176343886
Klaus Nordhausen, The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition by Trevor Hastie, Robert Tibshirani, Jerome Friedman International Statistical Review. ,vol. 77, pp. 482- 482 ,(2009) , 10.1111/J.1751-5823.2009.00095_18.X