Title
Communications Inspired Linear Discriminant Analysis.
Abstract
We study the problem of supervised linear dimensionality reduction, taking an information-theoretic viewpoint. The linear projection matrix is designed by maximizing the mutual information between the projected signal and the class label (based on a Shannon entropy measure). By harnessing a recent theoretical result on the gradient of mutual information, the above optimization problem can be solved directly using gradient descent, without requiring simplification of the objective function. Theoretical analysis and empirical comparison are made between the proposed method and two closely related methods (Linear Discriminant Analysis and Information Discriminant Analysis), and comparisons are also made with a method in which Renyi entropy is used to define the mutual information (in this case the gradient may be computed simply, under a special parameter setting). Relative to these alternative approaches, the proposed method achieves promising results on real datasets.
Year
Venue
DocType
2012
ICML
Conference
Citations 
PageRank 
References 
11
0.54
14
Authors
5
Name
Order
Citations
PageRank
Minhua Chen1492.22
William R. Carson2533.34
Miguel R. D. Rodrigues31500111.23
Lawrence Carin4110.54
A. R. Calderbank5125502208.54