Generalized profiling estimation for global and adaptive penalized spline smoothing

We propose the generalized profiling method to estimate the multiple regression functions in the framework of penalized spline smoothing, where the regression functions and the smoothing parameter are estimated in two nested levels of optimization. The corresponding gradients and Hessian matrices ar...

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Vydáno v:	Computational statistics & data analysis Ročník 53; číslo 7; s. 2550 - 2562
Hlavní autoři:	Cao, Jiguo, Ramsay, James O.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 15.05.2009 Elsevier
Edice:	Computational Statistics & Data Analysis
Témata:	Exact sciences and technology General topics Mathematics Multivariate analysis Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Parametric inference Probability and statistics Sciences and techniques of general use Statistics Variance estimation Optimization method Estimator robustness Adaptive estimation Penalty method Optimization Spline Variance Spline approximation Numerical approximation Smoothing parameter Regression function Regression spline Mathematical programming Data analysis Smoothing methods Covariance analysis Variance analysis Multiple regression Delta method Statistical regression Numerical analysis Statistical computation Simulation Smoothing Curvature
ISSN:	0167-9473, 1872-7352
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Abstract	We propose the generalized profiling method to estimate the multiple regression functions in the framework of penalized spline smoothing, where the regression functions and the smoothing parameter are estimated in two nested levels of optimization. The corresponding gradients and Hessian matrices are worked out analytically, using the Implicit Function Theorem if necessary, which leads to fast and stable computation. Our main contribution is developing the modified delta method to estimate the variances of the regression functions, which include the uncertainty of the smoothing parameter estimates. We further develop adaptive penalized spline smoothing to estimate spatially heterogeneous regression functions, where the smoothing parameter is a function that changes along with the curvature of regression functions. The simulations and application show that the generalized profiling method leads to good estimates for the regression functions and their variances.
AbstractList	We propose the generalized profiling method to estimate the multiple regression functions in the framework of penalized spline smoothing, where the regression functions and the smoothing parameter are estimated in two nested levels of optimization. The corresponding gradients and Hessian matrices are worked out analytically, using the Implicit Function Theorem if necessary, which leads to fast and stable computation. Our main contribution is developing the modified delta method to estimate the variances of the regression functions, which include the uncertainty of the smoothing parameter estimates. We further develop adaptive penalized spline smoothing to estimate spatially heterogeneous regression functions, where the smoothing parameter is a function that changes along with the curvature of regression functions. The simulations and application show that the generalized profiling method leads to good estimates for the regression functions and their variances.
Author	Ramsay, James O. Cao, Jiguo
Author_xml	– sequence: 1 givenname: Jiguo surname: Cao fullname: Cao, Jiguo email: jca76@sfu.ca organization: Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, BC, V5A1S6, Canada – sequence: 2 givenname: James O. surname: Ramsay fullname: Ramsay, James O. email: ramsay@psych.mcgill.ca organization: Department of Psychology, McGill University, 1205 Dr. Penfield Ave., Montreal, QC, H3A 1B1, Canada
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Cites_doi	10.1111/1467-842X.00119 10.2307/1270359 10.1111/j.2517-6161.1991.tb01837.x 10.1214/aos/1069362731 10.1111/j.1467-9868.2007.00610.x 10.1214/aos/1176347963 10.2307/2288926 10.1002/(SICI)1099-095X(199607)7:4<401::AID-ENV221>3.0.CO;2-D 10.2307/2291269 10.1111/j.2517-6161.1995.tb02034.x 10.1198/106186005X47345 10.2307/2291403 10.2307/1271131 10.2307/2291270 10.1214/aos/1176324704 10.1214/aos/1176349743 10.1007/s00180-007-0044-1 10.2307/2289875 10.2307/1390723 10.1111/j.2517-6161.1983.tb01239.x 10.1007/s001800000047 10.1007/BF02595870
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Keywords	Variance estimation Optimization method Estimator robustness Adaptive estimation Penalty method Optimization Spline Variance Spline approximation Numerical approximation Smoothing parameter Regression function Regression spline Mathematical programming Data analysis Smoothing methods Covariance analysis Variance analysis Multiple regression Delta method Statistical regression Numerical analysis Statistical computation Simulation Smoothing Curvature
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References	Brockmann, Gasser, Herrmann (b3) 1993; 88 Cao, Ramsay (b4) 2007; 22 Ruppert, Wand, Holst, Hössjer (b21) 1997; 39 Wand (b28) 2000; 15 Gu (b11) 2002 Lepski, Mammen, Spokoiny (b15) 1997; 25 Ramsay, Silverman (b19) 2005 Fan, Gijbels (b7) 1995; 57 Fan, Hall, Martin, Patil (b8) 1996; 91 Ramsay, Hooker, Campbell, Cao (b18) 2007; 69 Wahba (b25) 1983; 45 Sigrist (b22) 1994; vol. 127 Wahba (b27) 1990 Herrmann (b13) 1997; 6 Vieu (b24) 1991; 53 Eubank, Speckman (b6) 1993; 88 Friedman (b9) 1991; 19 Nychka (b17) 1995; 23 Friedman, Silverman (b10) 1989; 31 Hardle, Bowman (b12) 1983; 83 Wahba (b26) 1985; 13 Nunez-Anton, Rodriguez-Poo, Vieu (b16) 1999; 8 Boularan, Ferre, Vieu (b2) 1995; 10 Baladandayuthapani, Mallick, Carroll (b1) 2005; 14 Staniswalis (b23) 1989; 84 de Boor (b5) 2001 Ruppert, Carroll (b20) 2000; 42 Holst, Hüssjer, Bjürklund, Ragnarson, Edner (b14) 1996; 7 Boularan (10.1016/j.csda.2008.12.004_b2) 1995; 10 Staniswalis (10.1016/j.csda.2008.12.004_b23) 1989; 84 Fan (10.1016/j.csda.2008.12.004_b7) 1995; 57 Hardle (10.1016/j.csda.2008.12.004_b12) 1983; 83 Sigrist (10.1016/j.csda.2008.12.004_b22) 1994; vol. 127 Nunez-Anton (10.1016/j.csda.2008.12.004_b16) 1999; 8 Nychka (10.1016/j.csda.2008.12.004_b17) 1995; 23 Wahba (10.1016/j.csda.2008.12.004_b26) 1985; 13 Ruppert (10.1016/j.csda.2008.12.004_b20) 2000; 42 Baladandayuthapani (10.1016/j.csda.2008.12.004_b1) 2005; 14 Eubank (10.1016/j.csda.2008.12.004_b6) 1993; 88 Ramsay (10.1016/j.csda.2008.12.004_b19) 2005 Gu (10.1016/j.csda.2008.12.004_b11) 2002 Lepski (10.1016/j.csda.2008.12.004_b15) 1997; 25 Friedman (10.1016/j.csda.2008.12.004_b10) 1989; 31 Vieu (10.1016/j.csda.2008.12.004_b24) 1991; 53 Holst (10.1016/j.csda.2008.12.004_b14) 1996; 7 Ruppert (10.1016/j.csda.2008.12.004_b21) 1997; 39 Wand (10.1016/j.csda.2008.12.004_b28) 2000; 15 Friedman (10.1016/j.csda.2008.12.004_b9) 1991; 19 Cao (10.1016/j.csda.2008.12.004_b4) 2007; 22 Wahba (10.1016/j.csda.2008.12.004_b25) 1983; 45 Wahba (10.1016/j.csda.2008.12.004_b27) 1990 Herrmann (10.1016/j.csda.2008.12.004_b13) 1997; 6 Ramsay (10.1016/j.csda.2008.12.004_b18) 2007; 69 de Boor (10.1016/j.csda.2008.12.004_b5) 2001 Fan (10.1016/j.csda.2008.12.004_b8) 1996; 91 Brockmann (10.1016/j.csda.2008.12.004_b3) 1993; 88
References_xml	– volume: 23 start-page: 1175 year: 1995 end-page: 1197 ident: b17 article-title: Splines as local smoothers publication-title: The Annals of Statistics – volume: 57 start-page: 371 year: 1995 end-page: 394 ident: b7 article-title: Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation publication-title: Journal of Royal Statistical Society. Section B – volume: vol. 127 year: 1994 ident: b22 publication-title: Air Monitoring by Spectroscopic Technique – volume: 88 start-page: 1287 year: 1993 end-page: 1301 ident: b6 article-title: Confidence bands in nonparametric regression publication-title: Journal of the American Statistical Association – volume: 42 start-page: 205 year: 2000 end-page: 223 ident: b20 article-title: Spatially-adaptive penalties for spline fitting publication-title: Australian and New Zealand Journal of Statistics – volume: 53 start-page: 453 year: 1991 end-page: 464 ident: b24 article-title: Nonparametric regression: Optimal local bandwidth choice publication-title: Journal of the Royal Statistical Society. Series B – volume: 45 start-page: 133 year: 1983 end-page: 150 ident: b25 article-title: Bayesian confidence intervals for the cross-validated smoothing spline publication-title: Journal of the Royal Statistical Society. Series B – volume: 39 start-page: 262 year: 1997 end-page: 273 ident: b21 article-title: Local polynomial variance function estimation publication-title: Technometrics – year: 2002 ident: b11 article-title: Smoothing Spline Anova Models – volume: 13 start-page: 1378 year: 1985 end-page: 1402 ident: b26 article-title: A comparison of gcv and gml for choosing the smoothing parameter in the generalized spline smoothing problem publication-title: The Annals of Statistics – volume: 14 start-page: 378 year: 2005 end-page: 394 ident: b1 article-title: Spatially adaptive Bayesian penalized regression splines (P-splines) publication-title: Journal of Computational and Graphical Statistics – volume: 10 start-page: 285 year: 1995 end-page: 298 ident: b2 article-title: A nonparametric model for unbalanced longitudinal data with application to geophysical-data publication-title: Computational Statistics – volume: 19 start-page: 1 year: 1991 end-page: 141 ident: b9 article-title: Multivariate adaptive regression splines (with discussion) publication-title: The Annals of Statistics – volume: 7 start-page: 401 year: 1996 end-page: 416 ident: b14 article-title: Locally weighted least squares kernel regression and statistical evaluation of LIDAR measurements publication-title: Environmetrics – volume: 88 start-page: 1302 year: 1993 end-page: 1309 ident: b3 article-title: Locally adaptive bandwidth choice for kernel regression estimators publication-title: Journal of the American Statistical Association – volume: 15 start-page: 443 year: 2000 end-page: 462 ident: b28 article-title: A comparison of regression spline smoothing procedures publication-title: Computational Statistics – volume: 25 start-page: 929 year: 1997 end-page: 947 ident: b15 article-title: Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors publication-title: The Annals of Statistics – year: 1990 ident: b27 article-title: Spline Models for Observational Data – volume: 8 start-page: 201 year: 1999 end-page: 231 ident: b16 article-title: Longitudinal data with nonstationary errors: A nonparametric three-stage approach publication-title: Test – volume: 6 start-page: 35 year: 1997 end-page: 54 ident: b13 article-title: Local bandwidth choice in kernel regression estimation publication-title: Journal of Computational and Graphical Statistics – volume: 69 start-page: 741 year: 2007 end-page: 796 ident: b18 article-title: Parameter estimation for differential equations: A generalized smoothing approach (with discussion) publication-title: Journal of the Royal Statistical Society. Series B – volume: 22 start-page: 335 year: 2007 end-page: 351 ident: b4 article-title: Parameter cascades and profiling in functional data analysis publication-title: Computational Statistics – year: 2001 ident: b5 article-title: A Practical Guide to Splines – volume: 31 start-page: 3 year: 1989 end-page: 39 ident: b10 article-title: Flexible parsimonious smoothing and additive modeling (with discussion) publication-title: Technometrics – volume: 84 start-page: 284 year: 1989 end-page: 288 ident: b23 article-title: Local bandwidth selection for kernel estimates publication-title: Journal of the American Statistical Association – volume: 83 start-page: 102 year: 1983 end-page: 110 ident: b12 article-title: Bootstrapping in nonparametric regression–local adaptive smoothing and confidence bands publication-title: Journal of the American Statistical Association – year: 2005 ident: b19 article-title: Functional Data Analysis – volume: 91 start-page: 258 year: 1996 end-page: 266 ident: b8 article-title: On local smoothing of nonparametric curve estimators publication-title: Journal of the American Statistical Association – volume: 42 start-page: 205 issue: 2 year: 2000 ident: 10.1016/j.csda.2008.12.004_b20 article-title: Spatially-adaptive penalties for spline fitting publication-title: Australian and New Zealand Journal of Statistics doi: 10.1111/1467-842X.00119 – volume: 31 start-page: 3 year: 1989 ident: 10.1016/j.csda.2008.12.004_b10 article-title: Flexible parsimonious smoothing and additive modeling (with discussion) publication-title: Technometrics doi: 10.2307/1270359 – year: 2001 ident: 10.1016/j.csda.2008.12.004_b5 – volume: vol. 127 year: 1994 ident: 10.1016/j.csda.2008.12.004_b22 – volume: 53 start-page: 453 year: 1991 ident: 10.1016/j.csda.2008.12.004_b24 article-title: Nonparametric regression: Optimal local bandwidth choice publication-title: Journal of the Royal Statistical Society. Series B doi: 10.1111/j.2517-6161.1991.tb01837.x – volume: 25 start-page: 929 issue: 3 year: 1997 ident: 10.1016/j.csda.2008.12.004_b15 article-title: Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors publication-title: The Annals of Statistics doi: 10.1214/aos/1069362731 – volume: 69 start-page: 741 year: 2007 ident: 10.1016/j.csda.2008.12.004_b18 article-title: Parameter estimation for differential equations: A generalized smoothing approach (with discussion) publication-title: Journal of the Royal Statistical Society. Series B doi: 10.1111/j.1467-9868.2007.00610.x – volume: 19 start-page: 1 year: 1991 ident: 10.1016/j.csda.2008.12.004_b9 article-title: Multivariate adaptive regression splines (with discussion) publication-title: The Annals of Statistics doi: 10.1214/aos/1176347963 – volume: 83 start-page: 102 year: 1983 ident: 10.1016/j.csda.2008.12.004_b12 article-title: Bootstrapping in nonparametric regression–local adaptive smoothing and confidence bands publication-title: Journal of the American Statistical Association doi: 10.2307/2288926 – volume: 7 start-page: 401 year: 1996 ident: 10.1016/j.csda.2008.12.004_b14 article-title: Locally weighted least squares kernel regression and statistical evaluation of LIDAR measurements publication-title: Environmetrics doi: 10.1002/(SICI)1099-095X(199607)7:4<401::AID-ENV221>3.0.CO;2-D – volume: 88 start-page: 1287 year: 1993 ident: 10.1016/j.csda.2008.12.004_b6 article-title: Confidence bands in nonparametric regression publication-title: Journal of the American Statistical Association doi: 10.2307/2291269 – volume: 57 start-page: 371 issue: 2 year: 1995 ident: 10.1016/j.csda.2008.12.004_b7 article-title: Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation publication-title: Journal of Royal Statistical Society. Section B doi: 10.1111/j.2517-6161.1995.tb02034.x – year: 2005 ident: 10.1016/j.csda.2008.12.004_b19 – volume: 14 start-page: 378 year: 2005 ident: 10.1016/j.csda.2008.12.004_b1 article-title: Spatially adaptive Bayesian penalized regression splines (P-splines) publication-title: Journal of Computational and Graphical Statistics doi: 10.1198/106186005X47345 – volume: 91 start-page: 258 year: 1996 ident: 10.1016/j.csda.2008.12.004_b8 article-title: On local smoothing of nonparametric curve estimators publication-title: Journal of the American Statistical Association doi: 10.2307/2291403 – volume: 39 start-page: 262 year: 1997 ident: 10.1016/j.csda.2008.12.004_b21 article-title: Local polynomial variance function estimation publication-title: Technometrics doi: 10.2307/1271131 – year: 1990 ident: 10.1016/j.csda.2008.12.004_b27 – volume: 88 start-page: 1302 issue: 424 year: 1993 ident: 10.1016/j.csda.2008.12.004_b3 article-title: Locally adaptive bandwidth choice for kernel regression estimators publication-title: Journal of the American Statistical Association doi: 10.2307/2291270 – volume: 10 start-page: 285 issue: 3 year: 1995 ident: 10.1016/j.csda.2008.12.004_b2 article-title: A nonparametric model for unbalanced longitudinal data with application to geophysical-data publication-title: Computational Statistics – volume: 23 start-page: 1175 year: 1995 ident: 10.1016/j.csda.2008.12.004_b17 article-title: Splines as local smoothers publication-title: The Annals of Statistics doi: 10.1214/aos/1176324704 – volume: 13 start-page: 1378 issue: 4 year: 1985 ident: 10.1016/j.csda.2008.12.004_b26 article-title: A comparison of gcv and gml for choosing the smoothing parameter in the generalized spline smoothing problem publication-title: The Annals of Statistics doi: 10.1214/aos/1176349743 – volume: 22 start-page: 335 issue: 3 year: 2007 ident: 10.1016/j.csda.2008.12.004_b4 article-title: Parameter cascades and profiling in functional data analysis publication-title: Computational Statistics doi: 10.1007/s00180-007-0044-1 – volume: 84 start-page: 284 year: 1989 ident: 10.1016/j.csda.2008.12.004_b23 article-title: Local bandwidth selection for kernel estimates publication-title: Journal of the American Statistical Association doi: 10.2307/2289875 – volume: 6 start-page: 35 issue: 1 year: 1997 ident: 10.1016/j.csda.2008.12.004_b13 article-title: Local bandwidth choice in kernel regression estimation publication-title: Journal of Computational and Graphical Statistics doi: 10.2307/1390723 – volume: 45 start-page: 133 year: 1983 ident: 10.1016/j.csda.2008.12.004_b25 article-title: Bayesian confidence intervals for the cross-validated smoothing spline publication-title: Journal of the Royal Statistical Society. Series B doi: 10.1111/j.2517-6161.1983.tb01239.x – volume: 15 start-page: 443 issue: 4 year: 2000 ident: 10.1016/j.csda.2008.12.004_b28 article-title: A comparison of regression spline smoothing procedures publication-title: Computational Statistics doi: 10.1007/s001800000047 – volume: 8 start-page: 201 year: 1999 ident: 10.1016/j.csda.2008.12.004_b16 article-title: Longitudinal data with nonstationary errors: A nonparametric three-stage approach publication-title: Test doi: 10.1007/BF02595870 – year: 2002 ident: 10.1016/j.csda.2008.12.004_b11
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Title	Generalized profiling estimation for global and adaptive penalized spline smoothing
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