Title
Dimension reduction using the generalized gradient direction
Abstract
Sufficient dimension reduction methods, such as the sliced inverse regression one (SIR) and the sliced average variance estimate one (SAVE), usually put restrictions on the regressor: X being elliptical or normal. We propose a new effective method, called the generalized gradient direction method (GGD), for solving sufficient dimension reduction problems. Compared with SIR, SAVE etc., GGD makes very weak assumptions on X and performs well with X being a continuous variable or a numerical discrete variable, while existing methods are all developed with X being a continuous variable. The computation for GGD is very simple, just like for SIR, SAVE etc. Moreover, GGD proves robust compared with many standard techniques. Simulation results in comparison with results from other methods support the advantages of GGD.
Year
DOI
Venue
2010
10.1016/j.csda.2009.10.019
Computational Statistics & Data Analysis
Keywords
Field
DocType
sliced inverse regression,standard technique,numerical discrete variable,generalized gradient direction method,sliced average variance estimate,continuous variable,simulation result,sufficient dimension reduction method,sufficient dimension reduction problem,new effective method,direct method,dimension reduction
Gradient method,Econometrics,Dimensionality reduction,Effective method,Regression analysis,Sliced inverse regression,Statistics,Numerical analysis,Sufficient dimension reduction,Mathematics,Computation
Journal
Volume
Issue
ISSN
54
4
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Junlong Zhao102.37
Xiuli Zhao200.34