Browse > Article
http://dx.doi.org/10.7840/KICS.2011.36C.7.428

Elongated Radial Basis Function for Nonlinear Representation of Face Data  

Kim, Sang-Ki (연세대학교 전기전자공학과 영상인식 연구실)
Yu, Sun-Jin (LG전자 전자기술원/미래IT 융합 연구소)
Lee, Sang-Youn (연세대학교 전기전자공학과 영상인식 연구실)
Abstract
Recently, subspace analysis has raised its performance to a higher level through the adoption of kernel-based nonlinearity. Especially, the radial basis function, based on its nonparametric nature, has shown promising results in face recognition. However, due to the endemic small sample size problem of face data, the conventional kernel-based feature extraction methods have difficulty in data representation. In this paper, we introduce a novel variant of the RBF kernel to alleviate this problem. By adopting the concept of the nearest feature line classifier, we show both effectiveness and generalizability of the proposed method, particularly regarding the small sample size issue.
Keywords
face recognition; subspace learning; kernel feature extraction; RBF kernel function; nearest feature line;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Lu, Yap-Peng Tan, "Uncorrelated Discriminant Nearest Feature Line Analysis for Face Recognition," IEEE Signal Processing Letters, Vol.17, No.2, Feb. 2010, pp.185-188   DOI   ScienceOn
2 S.-K. Kim, Y.J. Park, K.-A. Toh, and S. Lee, "SVM-based feature extraction for face recognition," Pattern Recognition, Vol.43, No.8, Aug. 2010, pp.2871-2881   DOI   ScienceOn
3 P.J. Phillips, H. Moon, S. Rizvi, and P. Rauss, "The FERET Evaluation Methodology for Face Recognition Algorithms," IEEE Transaction on Pattern Analysis and Machine Intelligence, Vol.22, No.10, Oct. 2000, pp.1090-1104.   DOI   ScienceOn
4 A.R. Martinez and R. Benavente, "The AR face database," Technical Report #24, Computer Vision Center (CVC), Jun. 1998.
5 S. Z. Li, and J. Lu, "Face recognition using the nearest feature line method," IEEE Transaction on Neural Networks, Vol.10, No.2, 1999, pp.439-443.   DOI   ScienceOn
6 Y. Hamamoto, S.Uchimura, S. Tomita, "On the behavior of artificial neural network classifiers in high-dimensional spaces," IEEE Transaction on Pattern Analysis and Machine Intelligence, Vol.18, No.5, May 1996, pp.571-574.   DOI   ScienceOn
7 Y. Pang, Y. Yuan, and X. Li, "Generalized nearest feature line for subspace learning," Electron. Letters, Vol.43, No.20, 2007, pp.1079-1080.   DOI   ScienceOn
8 T. Hastie, R. Tibshirani, and J. Friedman, The Elements of Statistical Learning; Data Mining, Inference and Prediction. New York: Springer, 2001.
9 A.K. Jain, R.P.W. Duin, J. Mao, "Statistical Pattern Recognition: A Review," IEEE Transaction on Pattern Analysis and Machine Intelligence, Vol.22, No.1, Jan. 2000, pp.4-37.   DOI   ScienceOn
10 K. M. Tao, "A closer look at the radial basis function (RBF) networks," Proc. 27th Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, Nov. 1993.
11 K.I. Kim, K. Jung, and H.J. Kim, "Face Recognition using Kernel Principal Component Analysis," IEEE Signal Processing Letters, Vol.9, No.2, Feb. 2002, pp.40-42.   DOI   ScienceOn
12 J. Ma, J.L. Sancho-Gomez, and S.C. Ahalt, "Nonlinear Multiclass Discriminant Analysis," IEEE Signal Processing Letters, Vol.10, No.7, Jul. 2003, pp.196-199.   DOI   ScienceOn
13 M. Turk and A. Pentland, "Eigenfaces for Recognition," Cognitive Neuroscience, Vol.3, No.1, pp.72-86, 1991.
14 J. Yang, X. Gao, D. Zhang, and J.Y. Yang, "Kernel ICA: An alternative formulation and its application to face recognition," Pattern Recognition, Vol.38, No.10, Oct. 2005, pp.1784-1787.   DOI   ScienceOn
15 J. Moody and C. Darken, "Learning with Localized Receptive Fields," Proc. 1988 Connectionist Models Summer School, Morgan Kaufmann, San Mateo, CA, 1989, pp.133-143.
16 P.N. Belhumeur, J.P. Hespanha, and D.J. Kriegman, "Eigenfaces vs. Fisherfaces: Recognition using class specific linear projection," IEEE Transaction on Pattern Analysis and Machine Intelligence, Vol.19, No.7, May 1997, pp.711-720.   DOI   ScienceOn
17 M. S. Bartlett, J.R. Movellan, and T.J. Sejnowski, "Face Recognition by Independent Component Analysis," IEEE Transaction on Neural Networks, Vol.13, No.6, Nov. 2002, pp.1450-1464.   DOI   ScienceOn
18 C.J.C. Burges. "A Tutorial on Support Vector Machines for Pattern Recognition," Data Mining and Knowledge Discovery, Vol.2, No.2, 1998, pp. 121-167.   DOI   ScienceOn
19 W. Zhao, R. Chellappa, A. Rosenfeld, P.J. Phillips, "Face Recognition: A Literature Survey," ACM Computing Surveys, Vol.35, No.4, 2003, pp.399-458.   DOI   ScienceOn
20 L. Torres, "Is there any hope for face recognition?," Proc. of the 5th International Workshop on Image Analysis for Multimedia Interactive Services, Lisbon, Portugal, Apr. 2004, pp.21-23.