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The International Arab Journal of Information Techn ology, Vol. 11, No. 2, March 2014
Selecting a low dimensional feature subspace from t housands of features is a key phenomenon for optima l
classification. Linear Discriminant Analysis (LDA) is a basic well recognized supervised classifier that is effectively employed
for classification. However, two problems arise in intra class during discriminant analysis. Firstly, in training phase the
number of samples in intra class is smaller than th e dimensionality of the sample which makes LDA unst able. The other is high
computational cost due to redundant and irrelevant data points in intra class. An Adaptive Margin Fisher’s Criterion Linear
Discriminant Analysis (AMFC/LDA) is proposed that a ddresses these issues and overcomes the limitations of intra class
problems. Small Sample Size (SSS) problem is resolv ed through modified Maximum Margin Criterion (MMC), which is a form
of customized LDA and convex hull. Inter class is d efined using LDA while intra class is formulated using quick hull
respectively. Similarly, computational cost is redu ced by reformulating within class scatter matrix th rough minimum
Redundancy Maximum Relevance (mRMR) algorithm while preserving discriminant information. The proposed algorithm
reveals encouraging performance. Finally, a compari son is made with existing approaches.
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[35] Zheng W., Heteroscedastic Feature Extraction for Texture Classification, IEEE Signal Processing Letters, vol. 16, no. 9, pp. 7662769, 2009. Marryam Murtaza is a lecturer at University of Wah, Pakistan. She has more than four years teaching and research experience. Her research interests include digital image processing and software engineering. She had completed her MS degree in computer science from CIIT Wah in 2011. Muhammad Sharif is working as an assistant professor at the Department of Computer Science, COMSATS Institute of Information Technology, Pakistan. He is a PhD scholar at COMSATS Institute of Information Technology, Islamabad Campus. He has more than 16 years of experience of teaching undergraduate and graduate classes. Mudassar Raza is a lecturer at COMSATS Institute of Information Technology, Pakistan. He has more than four years of experience of teaching undergraduate classes at CIIT Wah. He has also been supervising final year projects to undergraduate students. His areas of interest are d igital image processing, and parallel and distributed computing. Jamal Hussain Shah is a research associate in Computer Science Department at COMSATS Institute of Information Technology, Pakistan. His research areas are digital image processing and networking. He has more than 3 years experience in IT2related projects, he develop ed and designed ERP systems for different organization s of Pakistan.