Penalized methods for bi-level variable selection.

Statistics and Its Interface
Patrick Breheny, Jian Huang

Abstract

In many applications, covariates possess a grouping structure that can be incorporated into the analysis to select important groups as well as important members of those groups. This work focuses on the incorporation of grouping structure into penalized regression. We investigate the previously proposed group lasso and group bridge penalties as well as a novel method, group MCP, introducing a framework and conducting simulation studies that shed light on the behavior of these methods. To fit these models, we use the idea of a locally approximated coordinate descent to develop algorithms which are fast and stable even when the number of features is much larger than the sample size. Finally, these methods are applied to a genetic association study of age-related macular degeneration.

Citations

Mar 1, 2012·BMC Proceedings·Yue S NiuLingling An
Jul 5, 2013·PLoS Computational Biology·Gabriel E HoffmanJason G Mezey
Oct 31, 2015·Placenta·Chunfang QiuMichelle A Williams
Nov 26, 2010·Genetic Epidemiology·Kristin L Ayers, Heather J Cordell
Jul 29, 2010·Biometrics·Joseph G IbrahimRuixin Guo
Apr 18, 2012·Biometrics·Jun Yan, Jian Huang
Mar 1, 2014·Scandinavian Journal of Statistics, Theory and Applications·Jin LiuShuangge Ma
Feb 24, 2015·Journal of the Royal Statistical Society. Series C, Applied Statistics·Lin ZhangKim-Anh Do
Jul 5, 2013·Statistics in Medicine·M A Quintana, D V Conti
Mar 17, 2015·Biometrics·Patrick Breheny
Feb 19, 2015·Wiley Interdisciplinary Reviews. Computational Statistics·Qing ZhaoShuangge Ma
Aug 31, 2013·NeuroImage·Shuo XiangUNKNOWN Alzheimer's Disease Neuroimaging Initiative
Sep 18, 2012·NeuroImage·Matt SilverUNKNOWN Alzheimer's Disease Neuroimaging Initiative
Nov 25, 2014·Biostatistics·Dingfeng Jiang, Jian Huang
Jun 22, 2016·Biostatistics·Ting-Huei Chen, Wei Sun
Jul 19, 2016·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·Wenchuan GuoShujie Ma
Feb 14, 2017·Biometrics·Gregory VaughanJun Yan
Oct 21, 2017·Nature Communications·Weiqiang ZhouHongkai Ji
Sep 17, 2019·Statistical Applications in Genetics and Molecular Biology·Hailin HuangHua Liang
Dec 31, 2019·Biostatistics·Magnus M MünchMark A Van De Wiel
Jan 1, 2016·Journal of the American Statistical Association·Guan Yu, Yufeng Liu
May 31, 2018·Nature Reviews. Genetics·Daniel J SchaidNicholas B Larson
Jan 1, 2017·Journal of the American Statistical Association·Yuan HuangShuangge Ma
Apr 3, 2020·Scientific Reports·Hui ZhangYong Liang
Jan 1, 2018·Journal of Applied Statistics·Himel Mallick, Nengjun Yi
Feb 10, 2021·Statistics in Medicine·Weijuan LiangTingyu Zhu
Jan 14, 2021·International Journal of Environmental Research and Public Health·David C WheelerCatherine Metayer
Oct 11, 2017·Journal of Multivariate Analysis·Gyuhyeong GohKun Chen

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