Smoothing spline Gaussian regression: more scalable computation via efficient approximation

Keywords

Smoothing spline, Smoothing, Computation, Nonparametric regression, Mathematical optimization

References

• Semiparametric Analysis of Variance with Tensor Product Thin Plate SplinesChong Gu, Grace Wahba — 1993
• Improper Priors, Spline Smoothing and the Problem of Guarding Against Model Errors in RegressionGrace Wahba — 1978
• Bayesian "Confidence Intervals" for the Cross-validated Smoothing SplineGrace Wahba — 1983
• Smoothing Spline Anova ModelsChong Gu — 2002
• Numerical methods for unconstrained optimization and nonlinear equationsJ. E. Dennis, Robert B. Schnabel — 1983
• The computation of generalized cross-validation functions through householder tridiagonalization with applications to the fitting of interaction spline modelsChong Gu, Douglas M. Bates, Zehua Chen — 1989
• CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICSDavid Gottlieb, Steven A. Orszag, Gary A. Sod — 1978
• Gentleman R: R: A language for data analysis and graphicsRoss Ihaka, Robert Gentleman — 1996
• Smoothing Spline ANOVA with Component-Wise Bayesian “Confidence Intervals”Chong Gu, Grace Wahba — 1993
• Penalized likelihood regression: General formulation and efficient approximationChong Gu, Young‐Ju Kim — 2002
• A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by SplinesGeorge Kimeldorf, Grace Wahba — 1970
• Some results on Tchebycheffian spline functionsGeorge Kimeldorf, Grace Wahba — 1971
• Spline Interpolation and Smoothing on the SphereGrace Wahba — 1981
• Estimating Optimal Transformations for Multiple Regression and Correlation.Leo Breiman, Jerome H. Friedman — 1985
• Asymptotic optimality of CL and generalized cross-validation in ridge regression with application to spline smoothingKer-Chau Li — 1986
• Bayesian Confidence Intervals for Smoothing SplinesDouglas Nychka — 1988
• A Comparison of GCV and GML for Choosing the Smoothing Parameter in the Generalized Spline Smoothing ProblemGrace Wahba — 1985
• Nonparametric regression and generalized linear modelsPeter J. Green, Bernard W. Silverman — 1994
• Hybrid Adaptive SplinesZhen Luo, Grace Wahba — 1997
• Linear Statistical Inference and Its ApplicationsNorman L. Johnson — 1966

Cited by

• Muscle growth and flesh quality of farmed Atlantic halibut (Hippoglossus hippoglossus) in relation to season of harvestØrjan Hagen — 2008
• Measured and modeled interactive effects of potassium deficiency and water deficit on gross primary productivity and light‐use efficiency in Eucalyptus grandis plantationsMathias Christina, Guerric Le Maire, Patricia Battie‐Laclau — 2015
• Abundance estimates of Breeding Stock ‘D’ Humpback Whales from aerial and land-based surveys off Shark Bay, Western Australia, 2008Sharon L. Hedley, John Bannister, Rebecca A. Dunlop — 2011
• Using blue whale (Balaenoptera musculus) photographic-identification sightings to assess potential vessel-whale encounters in the Santa Barbara ChannelKelli Faye Stingle — 2012
• Bayesian Confidence Intervals in Penalized Likelihood RegressionYoungju Kim — 2006
• Functional linear models to test for differences in prairie wetland hydraulic gradientsMark Greenwood, Richard S. Sojda, Todd M. Preston — 2010
• Computation and Smoothing Parameter Selection In Penalized Likelihood RegressionYoung‐Ju Kim — 2005
• Regularization techniques based on Krylov subspace methods for ill-posed linear systemsSilvia Gazzola — 2014
• A hierarchical spherical radial quadrature algorithm for multilevel glmms, gsmms, and gene pathway analysisAnna Liu, Jacob Gagnon — 2010
• Modeling the industrial dynamics of the European metropolitan areas during the process of economic integration: a semiparametric approachChristian Longhi, Antonio Musolesi, Catherine Baumont — 2013
• Strategical Issues in Multiple-Objective Optimal Experimental DesignYoung‐Il Kim, Myung-Wook Kahng — 2006
• Effective Computation for Odds Ratio Estimation in Nonparametric Logistic RegressionYoung-Ju Kim — 2009
• Nonparametric regression with cross‐classified responsesChong Gu, Ping Ma — 2011
• Estimating Taylor Rules for Switzerland: Evidence from 2000 to 2012Nikolay Markov, Thomas Nitschka — 2013
• Essays on Central Bank credibility and monetary policy predictabilityN. Markov — 2012
• Interannual variability in Indian Ocean surface waters and tuna-environment relationships : filling the gaps with a coupled bio-physical ocean modelJ. Currie — 2011
• A comparative study of nonparametric estimation in Weibull regression: A penalized likelihood approachYoungju Kim — 2011
• Analyse de sensibilité pour des modèles stochastiques à entrées dépendantes : application en énergétique du bâtimentMathilde Grandjacques — 2015
• Penalized Likelihood Regression with Negative Binomial Data with Unknown Shape ParameterYoung-Ju Kim — 2007
• Multispectral Image Out-of-Focus Deblurring Using Interchannel CorrelationShujie Chen, Hui‐Liang Shen — 2015

Related papers

• Recursive construction of smoothing spline surfaces using normalized uniform B-splinesHiroyuki Fujioka, Hiroyuki Kano — 2009
• The Estimation of Smoothing Parameter using Smoothing TechniquesAutcha Araveeporn — 2012
• Spline Smoothing over Difficult regionsSiem Jan Koopman, Soon Yip Wong — 2008
• Estimation of space-speed profiles: A functional approach using smoothing splinesCindie Andrieu, Guillaume Saint Pierre, Xavier Bressaud — 2013
• Generalized Cross Validation (GCV) in Smoothing Spline Nonparametric Regression ModelsMaharani Maharani, Dewi Retno Sari Saputro — 2021
• Locally optimal adaptive smoothing splinesHeeyoung Kim, Xiaoming Huo — 2012
• On the use of smoothing splines to filter CO2 dataI. G. Enting — 1987
• Nonconcave Penalized SplineHeng Peng — 2012
• Improved smoothing spline regression by combining estimates of different smoothnessThomas C. M. Lee — 2004