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SPARSE ORTHOGONAL LINEAR DISCRIMINANT ANALYSIS

delete2012-01-01
delete7
PRE
AI
D
Delin Chu *
L
Li‐Zhi Liao
M
Michael K. Ng
DOI:10.1137/110851377delete
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Abstract

Abstract

En 中文
In this paper, sparse orthogonal linear discriminant analysis (OLDA) is studied. The main contributions of the present work include the following: (i) all minimum Frobeniusnorm/dimension solutions of the optimization problem used for establishing OLDA are characterized explicitly; and (ii) this explicit characterization leads to two numerical algorithms for computing a sparse linear transformation for OLDA. The first is based on the gradient flow approach while the second is a sequential linear Bregman method. We experiment with real world datasets to illustrate that the sequential linear Bregman method is much better than the gradient flow approach. The sequential linear Bregman method always achieves comparable classification accuracy with the normal OLDA, satisfactory sparsity and orthogonality, and acceptable CPU times.
Keywords:
sparsity
linear discriminant analysis
dimensionality reduction
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Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

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H
Hong Kong Baptist University
Scholars:
6.3K
Papers: 7.5K
Citations: 1.3W
N
National University of Singapore
Scholars:
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Papers: 6.5W
Citations: 11.4W