Sparse Reduced-Rank Regression for Simultaneous Dimension Reduction and Variable Selection

REFERENCES

• Anderson , T. W. 1999 . “Asymptotic Distribution of the Reduced Rank Regression Estimator Under General Conditions,” . The Annals of Statistics , 27 : 1141 – 1154 .
   Web of Science ®Google Scholar
• Chun , H. and Keles , S. 2010 . “Sparse Partial Least Squares Regression for Simultaneous Dimension Reduction and Variable Selection,” . Journal of the Royal Statistical Society, Series B , 72 : 3 – 25 .
   PubMed Web of Science ®Google Scholar
• Edelman , A. , Arias , T. A. and Smith , S. T. 1998 . “The Geometry of Algorithms With Orthogonality Constraints,” . SIAM Journal on Matrix Analysis and Applications , 20 : 303 – 353 .
   Web of Science ®Google Scholar
• Friedman , J. , Hastie , T. , Hofling , H. and Tibshirani , R. 2007 . “Pathwise Coordinate Optimization,” . The Annals of Applied Statistics , 1 : 302 – 332 .
   Web of Science ®Google Scholar
• Gower , J. C. and Dijksterhuis , G. B. 2004 . Procrustes Problems , New York : Oxford University Press .
   Google Scholar
• Izenman , A. J. 2008 . Modern Multivariate Statistical Techniques: Regression, classification, and manifold learning , New York : Springer .
   Google Scholar
• Izenman , A. J. 1975 . “Reduced-Rank Regression for the Multivariate Linear Model,” . Journal of Multivariate Analysis , 5 : 248 – 264 .
   Google Scholar
• Lee , T. , Rinaldi , N. , Robert , F. , Odom , D. , Bar-Joseph , Z. , Gerber , G. , Hannett , N. , Harbison , C. , Thompson , C. , Simon , I. , Zeitlinger , J. , Jennings , E. , Murray , H. , Gordon , D. , Ren , B. , Wyrick , J. , Tagne , J. , Volkert , T. , Fraenkel , E. , Gifford , D. and Young , R. 2002 . “Transcriptional Regulatory Networks in Saccharomyces Cerevisiae,” . Science , 298 : 799
   PubMed Web of Science ®Google Scholar
• Peng , J. , Zhu , J. , Bergamaschi , A. , Han , W. , Noh , D. , Pollack , J. R. and Wang , P. 2010 . “Regularized Multivariate Regression for Identifying Master Predictors With Application to Integrative Genomics Study of Breast Cancer,” . The Annals of Applied Statistics , 4 : 53 – 77 .
   PubMed Web of Science ®Google Scholar
• Reinsel , G. C. and Velu , R. P. 1998 . Multivariate Reduced-Rank Regression: Theory and Applications , New York : Springer .
   Google Scholar
• Rothman , A. , Levina , E. and Zhu , J. 2010 . “Sparse Multivariate Regression With Covariance Estimation,” . Journal of Computational and Graphical Statistics , 19 : 947 – 962 .
   PubMed Web of Science ®Google Scholar
• Simila , T. and Tikka , J. 2007 . “Input Selection and Shrinkage in Multiresponse Linear Regression,” . Computational Statistics & Data Analysis , 52 : 406 – 422 .
   Web of Science ®Google Scholar
• Spellman , P. , Sherlock , G. , Zhang , M. , Iyer , V. , Anders , K. , Eisen , M. , Brown , P. , Botstein , D. and Futcher , B. 1998 . “Comprehensive Identification of Cell Cycle-Regulated Genes of the Yeast Saccharomyces Cerevisiae by Microarray Hybridization,” . Molecular Biology of the Cell , 9 : 3273 – 3297 .
   PubMed Web of Science ®Google Scholar
• Tibshirani , R. J. 1996 . “Regression Shrinkage and Selection via the Lasso,” . Journal of the Royal Statistical Society, Series B , 58 : 267 – 288 .
   Google Scholar
• Turlach , B. , Venables , W. and Wright , S. 2005 . “Simultaneous Variable Selection,” . Technometrics , 47 : 350 – 363 .
   Web of Science ®Google Scholar
• Wang , H. and Leng , C. 2008 . “A Note on Adaptive Group Lasso,” . Computational Statistics & Data Analysis , 52 : 5277 – 5286 .
   Web of Science ®Google Scholar
• Wang , L. , Chen , G. and Li , H. 2007 . “Group SCAD Regression Analysis for Microarray Time Course Gene Expression Data,” . Bioinformatics , 23 : 1486 – 1494 .
   PubMed Web of Science ®Google Scholar
• Yuan , M. , Ekici , A. , Lu , Z. and Monteiro , R. 2007 . “Dimension Reduction and Coefficient Estimation in Multivariate Linear Regression,” . Journal of the Royal Statistical Society, Series B , 69 : 329 – 346 .
   Google Scholar
• 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 .
   Google Scholar
• Zou , H. 2006 . “The Adaptive Lasso and Its Oracle Properties,” . Journal of the American Statistical Association , 101 : 1418 – 1429 .
   Web of Science ®Google Scholar
• Zou , H. and Zhang , H. 2009 . “On the Adaptive Elastic-Net With a Diverging Number of Parameters,” . The Annals of Statistics , 37 : 1733
   PubMed Web of Science ®Google Scholar