Spline regression

J- Friedman, Multivariate Adaptive Regression Splines, Technical Report No. 102. Stanford University, CA,... 

TMARS two-step multivariate adaptive regression splines... 

The %HIA, on a scale between 0 and 100%, for the same dataset was modeled by Deconinck et al. with multivariate adaptive regression splines (MARS) and a derived method two-step MARS (TMARS) [38]. Among other Dragon descriptors, the TMARS model included the Tig E-state topological parameter [25], and MARS included the maximal E-state negative variation. The average prediction error, which is 15.4% for MARS and 20.03% for TMARS, shows that the MARS model is more robust in modeling %H1A. 

Coomans, D., Massart, D. L Vander Heyden, Y. Prediction of gastro-intestinal absorption using multivariate adaptive regression splines. J. Pharm. Biomed. Anal. 2005, 39,1021-1030. 

Multivariable smart transmitters, 20 664 Multivariate Adaptive Regression Splines (MARS), 6 53... 

Xu, Q. S., Massart, D. L., Liang, Y. Z., Fang, K. T. J. Chromatogr. A 998, 2003, 155-167. Two-step multivariate adaptive regression splines for modeling a quantitative relationship between gas chromatographic retention indices and molecular descriptors. 

Friedman, J. [November 1988 (revised August 1990)] Multivariate adaptive regression splines, technical report number 102. Laboratory for Computational Statistics, Department of Statistics, Stanford University, Stanford, CA. 

Fig. 3.77 depicts Ao(C) isotherms of NaDoS solution containing an electrolyte at a level chosen to ensure formation of particular types of black foam films. The curves are drawn according to the regressive spline analysis [364]. 

Nguyen-Cong, V., Vandang, G. and Rode, B.M. (1996b). Using Multivariate Adaptive Regression Splines to QSAR Studies of Dihydroartemisinin Derivatives. Eur.J.Med.Chem., 31, 797-803. 

Exploration of the linear modeling techniques and their combination with multivariate adaptive regression splines to predict gastrointestinal absorption of drugs... 

JH Friedman. Multivariate adaptive regression splines. Ann. Statist., 19 1-144, 1991. 

Put, R., Xu, Q.-S., Massart, D.L. and Vander Heyden, Y. (2004) Multivariate adaptive regression splines (MARS) in chromatographic quantitative structure-retention relationship studies. 

Friedman JH, Multivariate adaptive regression splines, The Annals of Statistics, 1991, 19, 1-141. 

Friedman J H 1991 Multivariate adaptive regression splines Ann. Stat. 19 1-141 Ema K, Yokoyama M, Nakamoto T and Moriizumi T 1989 Odour-sensing system using a quartz-resonator sensor array and neural-network pattern recognition Sensors Actuators 18 291-6... 

In this section, on the one hand, methods that are used to estimate intrinsically nonlinear parameters by means of nonlinear regression (NLR) analysis will be introduced. On the other hand, we will learn about methods that are based on nonpara-metric, nonlinear modeling. Among those are nonlinear partial least squares (NPLS), the method of alternating conditional expectations (ACE), and multivariate adaptive regression splines (MARS). 

The model for a multivariate regression spline is based on linear combinations of univariate spUne functions of the general form [10]... 

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