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Technometrics Volume 54, 2012 - Issue 4
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Original Articles

Variable Selection in Additive Models Using P-Splines

Anestis Antoniadis Laboratoire Jean Kuntzmann, Université Joseph Fourier, Grenoble, France
,
Irène Gijbels Department of Mathematics and Leuven Statistics Research Center (LStat), Katholieke Universiteit Leuven, Leuven, Belgium
&
Anneleen Verhasselt Department of Mathematics and Computer Science, University of Antwerp, Antwerpen, Belgium
Pages 425-438 | Received 01 Dec 2009, Published online: 28 Nov 2012

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Jae-Hwan Jhong, Kwan-Young Bak, Jae-Kyung Shin & Ja-Yong Koo. (2022) Additive regression splines with total variation and non negative garrote penalties. Communications in Statistics - Theory and Methods 51:22, pages 7713-7736.
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I. Gijbels & I. Vrinssen. (2019) Robust estimation and variable selection in heteroscedastic linear regression. Statistics 53:3, pages 489-532.
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I. Gijbels, A. Verhasselt & I. Vrinssen. (2017) Consistency and robustness properties of the S-nonnegative garrote estimator. Statistics 51:4, pages 921-947.
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Takuma Yoshida & Kanta Naito. (2014) Asymptotics for penalised splines in generalised additive models. Journal of Nonparametric Statistics 26:2, pages 269-289.
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Articles from other publishers (19)

Jae-Kyung Shin, Kwan-Young Bak & Ja-Yong Koo. (2023) An adaptive neural network regression method for structure identification. Journal of Computational and Graphical Statistics, pages 1-21.
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Jae-Kyung Shin, Kwan-Young Bak & Ja-Yong Koo. (2022) Penalized additive neural network regression. Intelligent Data Analysis 26:6, pages 1597-1616.
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Umberto Amato, Anestis Antoniadis, Italia De Feis & Irène Gijbels. (2021) Wavelet-based robust estimation and variable selection in nonparametric additive models. Statistics and Computing 32:1.
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Willi Sauerbrei, Aris Perperoglou, Matthias Schmid, Michal Abrahamowicz, Heiko Becher, Harald Binder, Daniela Dunkler, Frank E. HarrellJrJr, Patrick Royston & Georg Heinze. (2020) State of the art in selection of variables and functional forms in multivariable analysis—outstanding issues. Diagnostic and Prognostic Research 4:1.
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Marc Härkönen, Tomonari Sei & Yoshihiro Hirose. (2020) Holonomic extended least angle regression. Information Geometry 3:2, pages 149-181.
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M. Carmen Aguilera‐Morillo, Ismael Buño, Rosa E. Lillo & Juan Romo. (2020) Variable selection with P‐splines in functional linear regression: Application in graft‐versus‐host disease. Biometrical Journal 62:7, pages 1670-1686.
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Peter Pütz & Thomas Kneib. (2017) A penalized spline estimator for fixed effects panel data models. AStA Advances in Statistical Analysis 102:2, pages 145-166.
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Biqiang Mu, Wei Xing Zheng & Er-Wei Bai. (2017) Variable Selection and Identification of High-Dimensional Nonparametric Additive Nonlinear Systems. IEEE Transactions on Automatic Control 62:5, pages 2254-2269.
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Jianguo Wang, Zhifu Deng, Banghua Yang, Shiwei Ma, Minrui Fei, Yuan Yao & Tao Chen. 2017. Intelligent Computing, Networked Control, and Their Engineering Applications. Intelligent Computing, Networked Control, and Their Engineering Applications 373 382 .
Biqiang Mu, Wei Xing Zheng & Er-Wei Bai. (2016) Consistent variable selection for high-dimensional nonparametric additive nonlinear systems. Consistent variable selection for high-dimensional nonparametric additive nonlinear systems.
Takuma Yoshida. (2016) Asymptotics and smoothing parameter selection for penalized spline regression with various loss functions. Statistica Neerlandica 70:4, pages 278-303.
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Umberto Amato, Anestis Antoniadis & Italia De Feis. (2016) Additive model selection. Statistical Methods & Applications 25:4, pages 519-564.
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Vincent Thouvenot, Audrey Pichavant, Yannig Goude, Anestis Antoniadis & Jean-Michel Poggi. (2016) Electricity Forecasting Using Multi-Stage Estimators of Nonlinear Additive Models. IEEE Transactions on Power Systems 31:5, pages 3665-3673.
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Vladimir K. Kaishev, Dimitrina S. Dimitrova, Steven Haberman & Richard J. Verrall. (2015) Geometrically designed, variable knot regression splines. Computational Statistics 31:3, pages 1079-1105.
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Anestis Antoniadis, Irène Gijbels, Sophie Lambert-Lacroix & Jean-Michel Poggi. (2016) Joint estimation and variable selection for mean and dispersion in proper dispersion models. Electronic Journal of Statistics 10:1.
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Anestis Antoniadis, Xavier Brossat, Yannig Goude, Jean-Michel Poggi & Vincent Thouvenot. 2016. Nonparametric Statistics. Nonparametric Statistics 191 209 .
I. Gijbels & I. Vrinssen. (2015) Robust nonnegative garrote variable selection in linear regression. Computational Statistics & Data Analysis 85, pages 1-22.
Crossref
Irène Gijbels, Anneleen Verhasselt & Inge Vrinssen. (2015) Variable selection using P-splines. Wiley Interdisciplinary Reviews: Computational Statistics 7:1, pages 1-20.
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A. Antoniadis, I. Gijbels & S. Lambert-Lacroix. (2013) Penalized estimation in additive varying coefficient models using grouped regularization. Statistical Papers 55:3, pages 727-750.
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