Pattern representation in feature extraction and classifier design: Matrix versus vector

IEEE Transactions on Neural Networks

Volumn 19, Issue 5, 2008, Pages 758-769

  Wang, Zhe ^a   Chen, Songcan ^a   Liu, Jun ^a   Zhang, Daoqiang ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

Classifier design (CD); Feature extraction (FE); Matrix pattern; Pattern recognition; Pattern representation; Vector pattern

Indexed keywords

FEATURE EXTRACTION; IMAGE CLASSIFICATION; VECTOR QUANTIZATION;

CLASSIFIER DESIGN; MATRIX PATTERN; PATTERN REPRESENTATION; VECTOR PATTERN;

PATTERN RECOGNITION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; CLASSIFICATION; FACTUAL DATABASE; IMAGE PROCESSING; METHODOLOGY;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; DATABASES, FACTUAL; IMAGE PROCESSING, COMPUTER-ASSISTED;

EID: 44349159647     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.911744     Document Type: Article

References (29)

1. R. O. Duda, R. E. Hart, and D. G. Stock. Pattern Classification, 2nd ed. New YorK: Wiley, 2001.
2. V. Vapnik. Statistical Learning Theory. New York: Wiley, 1998.
3. D. Beymer and T. Poggio, "Image representations for visual learning," Science, vol. 272, pp. 1905-1909, 1996.
4. L. F. Chen, H. Y. M. Liao, M. T. Ko, J. C. Lin, and G. J. Yu, "A new LDA-based face recognition system which can solve the small sample size problem, Pattern Recognit., vol. 33, pp. 1713-1726, 2000.
5. H. Wang and N. Ahuja, "Rank-R approximation of tensors: Using image-as-matrix representation," Proc. IEEE Conf. Comput. Vis. Pattern Recognit., vol. 2, pp- 346-353, Jun. 2005.
6. J. Yang, D. Zhang, A. F. Frangi, and J.-U. Yang, "Two-dimension PCA: A new approach to appearance-based face representation and recognition," IEEE Trans. Pattern Anal. Mach. Intell., vol. 26, no. 1, pp. 111-117, Jan. 2004.
7. M. Li and B. Yuan, " 2D-LDA: A statistical linear discrimmant analysis for image matrix," Pattern Recognit. Lett., vol. 26, pp. 527-532, 2005.
8. S. C. Chen, Y. L. Zhu, D.Q. Zhang, and J. Y. Yang, Feature extraction approaches based on matrix pattern: MntPCA and MatFLDA," Pattern Recognit. Lett., vol. 26, pp. 1157-1167, 2005.
9. 2PCA: Two-directional two-dimensional PCA for efficient face representation and recognition," Neuro-computing, vol. 69, pp. 224-231, 2005.
10. P. Nagabhushan, D. S. Guru, and B. H. Shekar, "(2D)2FLD: An efficient approach for appearance based object recognition," Neurocomputing vol. 69, pp. 934-940, 2006.
11. J. Ye, "Generalized low rank approximation of matrices," Mach. Learn., vol. 61, no. 1-3, pp. 167-191, 2005.
12. J. Liu and S. C. Chen, "Non-iterative general low rank approximation of matrices," Pattern Recognit. Lett., vol. 27, no. 9, pp. 1002-1008, Jul. 2006.
13. J. Leski, Ηo-Kashyap classifier with generalization control, Pattern Recognit Lett., vol. 94 no. 14 no pp. 2281-2290, 2003.
14. F. W. Smith, "Design of multicategory pattern classifiers with two-category classifier design procedures," IEEE Trans. Comput., vol. C-18, no. 6, pp. 548-551, Jun. 1969.
15. D. J. Newman, S. Hettich, C. L. Blake, and C. J. Merz, "UCI Repository of Machine Learning Databases," 1998 [Online]. Available: http://www.ics.uci.edu/Inlearn/MLRepository.html
16. C. W. Hsu and C. J. Lin, "A comparison of methods for multiclass support vector machines," IEEE Trans. Neural Netw., vol. 13, no. 2, pp. 415-425, Mar. 2002.
17. P. A. Devijver and T Kittler, Pattern Recognition: A Statistical Approach. London, U.K.: Prentice-Hall, 1982.
18. J. M. Leiva-Murillo and A. Artes-Rodrignez, "Maximization of mutual information for supervised linear feature extraction," IEEE Trans. Neural Netw., vol. 18, no. 5, pp. 1433-1441, Sep. 2007.
19. J. Liu, S. Chen, X. Tan, and D. Zhang, "Comments on 'efficient and robust feature extraction hy maximum margin criterion'," IEEE Trans. Neural Netw., vol. 18, no. 6, pp. 1862-1864, Nov. 2007.
20. A. Weingessel and K. Hornik, "Local PCA algorithms," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1242-1250, Nov. 2000.
21. A. Graham, Kronerker Produrts and Matrix Calculus: With Applications New York: Wiley, 1981.
22. I. T. Joliffe Principle Component Analysis. New York: Springer-Verlag, 1986.
23. R. A. Fisher, "The use of multiple measurements in taxonomic problems," Ann. Eugenics, vol. 7, pt. U, pp. 179-188, 1936.
24. S. C. Chen, Z. Wang, and Y. J. Tian "Matrix-pattern-oriented Ho-Kashyap classifier with regularization learning," Pattern Recognit., vol. 40, no. 5, no 1533-1543, May 2007.
25. Z. Wang and S. C. Chen, "New least squares support vector machines based on matrix patterns," Neural Process. Lett., vol. 26, pp. 41-56, 2007.
26. R. Maree, P. Geurts, J. Piater, and L. Wehenkel, "Random subwindows for robust image classification," Proc. IEEE Conf. Comput. Vis. Pattern Recognit., vol. 1, pp. 34-40, Jun. 2005.
27. C. Ding and J. Ye, "2-Dimensional singular value decomposition for 2D maps and images," In SDM, 2005.
28. J. Ye, R. Janardan, and Q. Li, "GPCA: An efficient dimension reduction scheme for image compression and retrieval," in Proc. 10th ACM SIGKDD Int. Conf. Knowl. Disc. Data Mining, 2004, pp. 354-363.
29. S. Yang, S. Yan, C. Zhang, and X. Tang "Bilinear analysis for kernel selection and nonlinear feature extraction," IEEE Trans. Neural Netw., vol. 18 no. 5, pp. 1442-1452, Sep. 2007.