Fast Second-Order Orthogonal Tensor Subspace Analysis for Face Recognition
Joint Authors
Zhou, Yujian
Lin, Yiqin
Bao, Liang
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Tensor subspace analysis (TSA) and discriminant TSA (DTSA) are two effective two-sided projection methods for dimensionality reduction and feature extraction of face image matrices.
However, they have two serious drawbacks.
Firstly, TSA and DTSA iteratively compute the left and right projection matrices.
At each iteration, two generalized eigenvalue problems are required to solve, which makes them inapplicable for high dimensional image data.
Secondly, the metric structure of the facial image space cannot be preserved since the left and right projection matrices are not usually orthonormal.
In this paper, we propose the orthogonal TSA (OTSA) and orthogonal DTSA (ODTSA).
In contrast to TSA and DTSA, two trace ratio optimization problems are required to be solved at each iteration.
Thus, OTSA and ODTSA have much less computational cost than their nonorthogonal counterparts since the trace ratio optimization problem can be solved by the inexpensive Newton-Lanczos method.
Experimental results show that the proposed methods achieve much higher recognition accuracy and have much lower training cost.
American Psychological Association (APA)
Zhou, Yujian& Bao, Liang& Lin, Yiqin. 2014. Fast Second-Order Orthogonal Tensor Subspace Analysis for Face Recognition. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-505031
Modern Language Association (MLA)
Zhou, Yujian…[et al.]. Fast Second-Order Orthogonal Tensor Subspace Analysis for Face Recognition. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-505031
American Medical Association (AMA)
Zhou, Yujian& Bao, Liang& Lin, Yiqin. Fast Second-Order Orthogonal Tensor Subspace Analysis for Face Recognition. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-505031
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505031