A Method for Dimension Reduction in Quadratic Classification Problems
Articles
Overview
published in
publication date
- September 2008
start page
- 572
end page
- 589
issue
- 3
volume
- 17
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 1061-8600
Electronic International Standard Serial Number (EISSN)
- 1537-2715
abstract
- This article presents a dimension-reduction method in quadratic discriminant analysis (QDA). The procedure is inspired by the geometric relation that exists between the subspaces used in sliced inverse regression (SIR) and sliced average variance estimation (SAVE). A new set of directions is constructed to improve the properties of the directions associated with the eigenvectors of the matrices usually considered for dimension reduction in QDA. Illustrative examples of application with real and simulated data are discussed.