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

Abstract: 

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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Paper Details

Authors:
Muhammad Naveed Tabassum and Esa Ollila
Submitted On:
13 April 2018 - 12:03am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Muhammad Naveed Tabassum
Paper Code:
SPTM-P2.1
Document Year:
2018
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tabassum_crda-hd_poster

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[1] Muhammad Naveed Tabassum and Esa Ollila, "Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/2580. Accessed: Jul. 16, 2018.
@article{2580-18,
url = {http://sigport.org/2580},
author = {Muhammad Naveed Tabassum and Esa Ollila },
publisher = {IEEE SigPort},
title = {Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies},
year = {2018} }
TY - EJOUR
T1 - Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies
AU - Muhammad Naveed Tabassum and Esa Ollila
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/2580
ER -
Muhammad Naveed Tabassum and Esa Ollila. (2018). Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies. IEEE SigPort. http://sigport.org/2580
Muhammad Naveed Tabassum and Esa Ollila, 2018. Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies. Available at: http://sigport.org/2580.
Muhammad Naveed Tabassum and Esa Ollila. (2018). "Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies." Web.
1. Muhammad Naveed Tabassum and Esa Ollila. Compressive Regularized Discriminant Analysis of High-Dimensional Data with Applications to Microarray Studies [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/2580