An efficient initialization method for nonnegative matrix factorization

Journal of Applied Sciences

Volumn 11, Issue 2, 2011, Pages 354-359

  Rezaei, M ^a,b   Boostani, R ^a  

^a SHIRAZ UNIVERSITY   (Iran)

^b SHAHID BAHONAR UNIVERSITY OF KERMAN   (Iran)

Author keywords

Facial expression; Factorization; Fuzzy c means clustering; Initialization; Nonnegative matrix factorization; Rank reduction

Indexed keywords

FACIAL EXPRESSIONS; FUZZY C MEANS CLUSTERING; INITIALIZATION; NONNEGATIVE MATRIX FACTORIZATION; RANK REDUCTION;

FACE RECOGNITION; FACTORIZATION; FUZZY SYSTEMS;

MATRIX ALGEBRA;

EID: 78649410741     PISSN: 18125654     EISSN: 18125662     Source Type: Journal    
DOI: 10.3923/jas.2011.354.359     Document Type: Article

References (26)

1. Abboud, B., F. Davoine and M. Dang, 2004. Facial expression recognition and synthesis based on an appearance model. Signal Process. Image Commun., 19: 723-740.
2. Albright R, J. Cox, D. Duling, A. Langville and C. Meyer, 2006. Algorithms, initializations and convergence for the nonnegative matrix factorization. http://meyer.math.ncsu.edu/Meyer/Abstracts/ImtNMF.html.
3. Berry, M.W., M. Browne, A.N. Langville, V.P. Pauca and R.J. Plemmons, 2006. Algorithms and applications for approximate nonnegative matrix factorization. Computat. Stat. Data Anal, 52: 155-173.
4. Bezdek, J.C., 1981. Pattern recognition with fuzzy objective functions algorithms. 1st Edn., Plenum, New York.
5. Calder, A.J., A.M. Burton, P. Miller, A.W. Young and S. Akamatsu, 2001. A principal component analysis of facial expressions. VisionRes., 41: 1179-1208.
6. Chen, Z. and A. Cichocki, 2005. Nonnegative matrix factorization with temporal smoothness and/or spatial decorrelation constraints. Technical Report, Laboratory for Advanced Brain Signal Processing. RIKEN. Tokyo, Japan, http://citeseerx.ist.psu.edu/viewdoc/summary?doi=l0.1.1.63.7094.
7. Cichocki, A., R. Zdunek and S. Amari, 2006. Csiszar's divergences for non-negative matrix factorization: Family of new algorithms. Lecture Notes Comput. Sci., 3889: 32-39.
8. Feng, T., S.Z. Li, H.Y. Shum andH. Zhang, 2002. Local non-negative matrix factorization as a visual representation. Proceedings of the 2nd International Conference on Development and Learning (DL'02), USA., pp: 178-183.
9. Finesso, L. and L. Spreij, 2006. Nonnegative matrix factorization and I-divergence alternating minimization. Linear Algebra Appl., 416: 270-287.
10. Hyvarinen, A., J. Karhunen and E. Oja, 2001. Independent Component Analysis. Wiley Interscience, UK.
11. Jeon, B.K., Y.B. Jung and K.S. Hong, 2005. Image segmentation by unsupervised sparse clustering. Proceedings of the 7th IEEE Workshop on Application of Computer Vision, Jun. 5-7, Breckenridge, pp: 2-7.
12. Kotsia, I., S. Zafeiriou and I. Pitas, 2008. Texture and shape information fusion for facial expression and facial action unit recognition. Pattern Recognition, 41: 833-851.
13. Lawson, C.L. and R.J. Hanson, 1974. Solving Least Squares Problems. Prentice-Hall, Englewood Cliffs, New Jersey.
14. Lee, D. and H. Seung, 1999. Learning the parts of objects by non-negative matrix factorization. Nature, 401: 788-791.
15. Li, S.Z., X.W. Hou, H.J. Zhang and Q.S. Cheng, 2001. Learning spatially localized, parts-based representation. Proc. IEEE Int. Conf. Comput. Vision Pattern Recognition, 1: 207-212.
16. Li, Z., H. Peng and X. Wu, 2008. A new descriptive clustering algorithm based on nonnegative matrix factorization. Proceedings of the IEEE International Conference Granular Computing, Aug. 26-28, Hangzhou, pp: 407-412.
17. Shahnaz, F., M.W. Berry, V.P. Pauca and R.J. Plemmons, 2006. Document clustering using nonnegative matrix factorization. Inform. Process. Manage. Int. J., 42: 373-386.
18. Shan, C, S. Gong and P.W. McOwan, 2009. Facial expression recognition based on local binary patterns: A comprehensive study. Image Vision Comput, 27: 803-816.
19. Tsai, P., L. Cao, T. Hintz and T. Jan, 2009. A bi-modal face recognition framework integrating facial expression with facial appearance. Pattern Recognition Lett, 30: 1096-1109.
20. Wang, J. and L. Yin, 2007. Static topographic modelling for facial expression recognition and analysis. Comput. Vision Image Understand., 108: 19-34.
21. Wild, S., J. Curry and A. Dougherty, 2004. Improving non-negative matrix factorizations through structured initialization. Pattern Recognition, 37: 2217-2232.
22. Xue, Y., C. Tong, Y. Chen and W.S. Chen, 2008. Clustering-based initialization for nonnegative matrix factorization. Applied Math. Comput, 205: 525-536.
23. Yang, H. and G. He, 2010. Online face recognition algorithm via nonnegative matrix factorization. Inform. Technol. J., 9: 1719-1724.
24. Ying, Z. and G. Zhang, 2009. Facial expression recognition based on NMF and SVM. Proceedings of the IEEE International Conference on Information Technology (IT'09),USA., pp: 458-462.
25. Zhao, L., G. Zhang and X. Xu, 2008. Facial expression recognition based on PCA and NMF. Proceedings of the 7th World Congress on Intelligent Control and Automation, June 25-27, Chongqing, pp: 6826-6829.
26. Zheng, Z., J. Yang and Y. Zhu, 2007. Initialization enhancer for non-negative matrix factorization. Eng. Appl. Artif. Intell., 20: 101-110.