REFERENCES
- Barbieri , M. and Berger , J. O. 2004 . “Optimal Predictive Model Selection,” . The Annals of Statistics , 32 : 870 – 897 .
- Bondell , H. D. and Reich , B. J. 2008 . “Simultaneous Regression Shrinkage, Variable Selection and Clustering of Predictors With OSCAR,” . Biometrics , 64 : 115 – 123 .
- Breiman , L. 1995 . “Better Subset Regression Using the Nonnegative Garrote,” . Technometrics , 37 : 373 – 384 .
- Brown , P. J. , Vannucci , M. and Fearn , T. 2002 . “Bayes Model Averaging With Selection of Regressors,” . Journal of the Royal Statistical Society, Series B , 64 : 519 – 536 .
- Candes , E. and Tao , T. 2007 . “The Dantzig Selector: Statistical Estimation When p is Much Larger Than n” (with discussion) . The Annals of Statistics , 35 : 2313 – 2351 .
- Carlin , B. P. and Louis , T. A. 2009 . Bayesian Methods for Data Analysis , New York : CRC Press .
- Davis , J. and Goadrich , M. 2006 . “The Relationship Between Precision-Recall and ROC Curves,” . In Proceedings of the 23rd International Conference on Machine Learning 233 – 240 .
- Dunson , D. B. , Herring , A. H. and Engel , S. M. 2008 . “Bayesian Selection and Clustering of Polymorphisms in Functionally-Related Genes,” . Journal of the American Statistical Association , 103 : 534 – 546 .
- Efron , B. , Hastie , T. , Johnstone , I. and Tibshirani , R. 2004 . “Least Angle Regression,” . The Annals of Statistics , 32 : 407 – 499 .
- Fan , J. and Li , R. 2001 . “Variable Selection via Nonconcave Penalized Likelihood and Its Oracle Properties,” . Journal of the American Statistical Association , 96 : 1348 – 1360 .
- Fan , J. and Lv , J. 2008 . “Sure Independence Screening for Ultra-High Dimensional Feature Space” (with discussion) . Journal of the Royal Statistical Society, Series B , 70 : 849 – 911 .
- George , E. I. and Foster , D. P. 2000 . “Calibration and Empirical Bayes Variable Selection,” . Biometrika , 87 : 731 – 747 .
- George , E. I. and McCulloch , R. E. 1993 . “Variable Selection via Gibbs Sampling,” . Journal of the American Statistical Association , 88 : 881 – 889 .
- George , E. I. 1997 . “Approaches for Bayesian Variable Selection,” . Statistica Sinica , 7 : 339 – 373 .
- Huang , J. , Horowitz , J. L. and Ma , S. G. 2008 . “Asymptotic Properties of Bridge Estimators in Sparse High-Dimensional Regression Models,” . The Annals of Statistics , 36 : 587 – 613 .
- Huang , J. , Ma , S. G. and Zhang , C.-H. 2008 . “Adaptive Lasso for Sparse High-Dimensional Regression Models,” . Statistica Sinica , 18 : 1603 – 1618 .
- James , G. M. , Radchenko , P. and Lv , J. 2009 . “DASSO: Connections Between the Dantzig Selector and Lasso,” . Journal of the Royal Statistical Society, Series B , 71 : 127 – 142 .
- Jung , S. and Marron , J. S. 2009 . “PCA Consistency in High Dimension, Low Sample Size Context,” . The Annals of Statistics , 37 : 4104 – 4130 .
- Kinney , S. and Dunson , D. B. 2007 . “Fixed and Random Effects Selection in Linear and Logistic Models,” . Biometrics , 63 : 690 – 698 .
- Lan , H. , Chen , M. , Flowers , J. B. , Yandell , B. S. , Stapleton , D. S. , Mata , C. M. , Mui , E. T. , Flowers , M. T. , Schueler , K. L. , Manly , K. F. , Williams , R. W. , Kendziorski , K. and Attie , A. D. 2006 . “Combined Expression Trait Correlations and Expression Quantitative Trait Locus Mapping,” . PLoS Genetics , 2 : e6
- Liang , F. , Paulo , R. , Molina , G. , Clyde , M. and Berger , J. O. 2008 . “Mixtures of g-Priors for Bayesian Variable Selection,” . Journal of the American Statistical Association , 103 : 410 – 423 .
- Lv , J. and Fan , Y. 2009 . “A Unified Approach to Model Selection and Sparse Recovery Using Regularized Least Squares,” . The Annals of Statistics , 37 : 3498 – 3528 .
- Meinshausen , N. and Buhlmann , P. 2006 . “High Dimensional Graphs and Variable Selection With the Lasso,” . The Annals of Statistics , 34 : 1436 – 1462 .
- Moreno , E. , Girón , F. J. and Casella , G. 2010 . “Consistency of Objective Bayes Factors as the Model Dimension Grows,” . The Annals of Statistics , 38 : 1937 – 1952 .
- O’Hara , R. B. and Sillanpää , M. J. 2009 . “A Review of Bayesian Variable Selection Methods: What, How and Which,” . Bayesian Analysis , 4 : 85 – 118 .
- Scott , J. G. and Berger , J. O. 2010 . “Bayes and Empirical-Bayes Multiplicity Adjustment in the Variable-Selection Problem,” . The Annals of Statistics , 38 : 2587 – 2619 .
- Tadesse , M. G. , Sha , N. and Vannucci , M. 2005 . “Bayesian Variable Selection in Clustering High-Dimensional Data,” . Journal of the American Statistical Association , 100 : 602 – 617 .
- Tibshirani , R. 1996 . “Regression Shrinkage and Selection via the Lasso,” . Journal of the Royal Statistical Society, Series B , 58 : 267 – 288 .
- Tibshirani , R. , Saunders , M. , Rosset , S. , Zhu , J. and Knight , K. 2005 . “Sparsity and Smoothness via the Fused Lasso,” . Journal of the Royal Statistical Society, Series B , 67 : 91 – 108 .
- Wang , H. 2009 . “Forward Regression for Ultra-High Dimensional Variable Screening,” . Journal of the American Statistical Association , 104 : 1512 – 1524 .
- Yata , K. and Aoshima , M. 2009 . “PCA Consistency for Non-Gaussian Data in High Dimension, Low Sample Size Context,” . Communications in Statistics—Theory and Methods , 38 : 2634 – 2652 .
- Yuan , M. and Lin , Y. 2006 . “Model Selection and Estimation in Regression With Grouped Variables,” . Journal of the Royal Statistical Society, Series B , 68 : 49 – 67 .
- Zellner , A. 1986 . “On Assessing Prior Distributions and Bayesian Regression Analysis With g-Prior Distributions,” . In Bayesian Inference and Decision Techniques: Essays in Honour of Bruno de Finetti , Edited by: Goel , P. K. and Zellner , A. 233 – 243 . Amsterdam : North-Holland .
- Zhang , D. , Lin , Y. and Zhang , M. 2009 . “Penalized Orthogonal-Components Regression for Large p Small n Data,” . Electronic Journal of Statistics , 3 : 781 – 796 .
- Zhao , P. and Yu , B. 2006 . “On Model Selection Consistency of Lasso,” . Journal of Machine Learning Research , 7 : 2541 – 2563 .
- Zou , H. 2006 . “The Adaptive Lasso and Its Oracle Properties,” . Journal of the American Statistical Association , 101 : 1418 – 1429 .
- Zou , H. and Hastie , T. 2005 . “Regularization and Variable Selection via the Elastic Net,” . Journal of the Royal Statistical Society, Series B , 67 : 301 – 320 .
- Zou , H. and Li , R. 2008 . “One-Step Sparse Estimates in Nonconcave Penalized Likelihood Models” (with discussion), . The Annals of Statistics , 36 : 1509 – 1566 .