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Dimensionality reduction algorithm of local marginal Fisher analysis based on Mahalanobis distance
LI Feng WANG Zhengqun XU Chunlin ZHOU Zhongxia XUE Wei
Journal of Computer Applications    2013, 33 (07): 1930-1934.   DOI: 10.11772/j.issn.1001-9081.2013.07.1930
Abstract767)      PDF (778KB)(515)       Save
Considering high dimensional data image in face recognition application and Euclidean distance cannot accurately reflect the similarity between samples, a Mahalanobis distance based Local Marginal Fisher Analysis (MLMFA) dimensionality reduction algorithm was proposed. A Mahalanobis distance could be ascertained from the existing samples. Then, the Mahalanobis distance was used to choose neighbors and to reduce the dimensionality of new samples. Meanwhile, to describe the intra-class compactness and the inter-class separability, intra-class “similarity” graph and inter-class “penalty” graph were constructed by using Mahalanobis distance, and local structure of data set was preserved well. With the proposed algorithm being conducted on YALE and FERET, MLMFA outperforms the algorithms based on traditional Euclidean distance with maximum average recognition rate by 1.03% and 6% respectively. The results demonstrate that the proposed algorithm has very good classification and recognition performance.
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