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Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies

Citation Author(s):
Muhammad Naveed Tabassum and Esa Ollila
Submitted by:
Muhammad Naveed...
Last updated:
13 April 2018 - 12:03am
Document Type:
Poster
Document Year:
2018
Event:
Presenters:
Muhammad Naveed Tabassum
Paper Code:
SPTM-P2.1
 

We propose a modification of linear discriminant analysis, referred to as compressive regularized discriminant analysis (CRDA), for analysis of high-dimensional datasets. CRDA is specially designed for feature elimination purpose and can be used as gene selection method in microarray studies. CRDA lends ideas from ℓq,1 norm minimization algorithms in the multiple measurement vectors (MMV) model and utilizes joint-sparsity promoting hard thresholding for feature elimination. A regularization of the sample covariance matrix is also needed as we consider the challenging scenario where the number of features (variables) is comparable or exceeding the sample size of the training dataset. A simulation study and four examples of real-life microarray datasets evaluate the performances of CRDA based classifiers. Overall, the proposed method gives fewer misclassification errors than its competitors, while at the same time achieving accurate feature selection.

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