Prediction of eigenvalues and regularization of eigenfeatures for human face verification

We present a prediction and regularization strategy for alleviating the conventional problems of LDA and its variants. A procedure is proposed for predicting eigenvalues using few reliable eigenvalues from the range space. Entire eigenspectrum is divided using two control points, however, the effective low-dimensional discriminative vectors are extracted from the whole eigenspace. The estimated eigenvalues are used for regularization of eigenfeatures in the eigenspace. These prediction and regularization enable to perform discriminant evaluation in the full eigenspace. The proposed method is evaluated and compared with eight popular subspace based methods for face verification task. Experimental results on popular face databases show that our method consistently outperforms others.

[1]  Alex Pentland,et al.  Bayesian face recognition , 2000, Pattern Recognit..

[2]  김은태,et al.  Eigenfeature regularization and extraction을 이용한 걸음걸이 바이오 인식 시스템 , 2010 .

[3]  Xudong Jiang,et al.  Enhanced maximum likelihood face recognition , 2006 .

[4]  Xudong Jiang,et al.  Asymmetric Principal Component and Discriminant Analyses for Pattern Classification , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Keinosuke Fukunaga,et al.  Introduction to statistical pattern recognition (2nd ed.) , 1990 .

[6]  Tieniu Tan,et al.  Null Space Approach of Fisher Discriminant Analysis for Face Recognition , 2004, ECCV Workshop BioAW.

[7]  Yuan Yan Tang,et al.  Face recognition based on discriminant waveletfaces , 2007, 2007 IEEE International Conference on Systems, Man and Cybernetics.

[8]  Xudong Jiang,et al.  Complete discriminant evaluation and feature extraction in kernel space for face recognition , 2008, Machine Vision and Applications.

[9]  Hyeonjoon Moon,et al.  The FERET evaluation methodology for face-recognition algorithms , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[10]  Aleix M. Martínez,et al.  Recognizing Imprecisely Localized, Partially Occluded, and Expression Variant Faces from a Single Sample per Class , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Michael G. Strintzis,et al.  Face Recognition , 2008, Encyclopedia of Multimedia.

[12]  Jian Yang,et al.  KPCA plus LDA: a complete kernel Fisher discriminant framework for feature extraction and recognition , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Alex Pentland,et al.  Probabilistic Visual Learning for Object Representation , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Hakan Cevikalp,et al.  Discriminative common vectors for face recognition , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[15]  Alex Pentland,et al.  Beyond eigenfaces: probabilistic matching for face recognition , 1998, Proceedings Third IEEE International Conference on Automatic Face and Gesture Recognition.

[16]  Witold Pedrycz,et al.  Face recognition: A study in information fusion using fuzzy integral , 2005, Pattern Recognit. Lett..

[17]  Dao-Qing Dai,et al.  Improved discriminate analysis for high-dimensional data and its application to face recognition , 2007, Pattern Recognit..

[18]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[19]  Stephen Lin,et al.  Convergent 2-D Subspace Learning With Null Space Analysis , 2008, IEEE Transactions on Circuits and Systems for Video Technology.

[20]  Hua Yu,et al.  A direct LDA algorithm for high-dimensional data - with application to face recognition , 2001, Pattern Recognit..

[21]  J. Friedman Regularized Discriminant Analysis , 1989 .

[22]  Hanqing Lu,et al.  Solving the small sample size problem of LDA , 2002, Object recognition supported by user interaction for service robots.

[23]  Xudong Jiang,et al.  Face Recognition Based on Discriminant Evaluation in the Whole Space , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[24]  David J. Kriegman,et al.  Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection , 1996, ECCV.

[25]  Kohji Fukunaga,et al.  Introduction to Statistical Pattern Recognition-Second Edition , 1990 .

[26]  B. Draper,et al.  The CSU Face Identification Evaluation System User ’ s Guide : Version 4 . 0 , 2002 .

[27]  Azriel Rosenfeld,et al.  Face recognition: A literature survey , 2003, CSUR.

[28]  Hyeonjoon Moon,et al.  The FERET Evaluation Methodology for Face-Recognition Algorithms , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[29]  Xudong Jiang,et al.  Eigenfeature Regularization and Extraction in Face Recognition , 2008, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[30]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[31]  Gregory Shakhnarovich,et al.  Face Recognition in Subspaces , 2011, Handbook of Face Recognition.

[32]  Xudong Jiang,et al.  Verification of human faces using predicted eigenvalues , 2008, 2008 19th International Conference on Pattern Recognition.

[33]  David G. Stork,et al.  Pattern Classification , 1973 .

[34]  Hui Gao,et al.  Why direct LDA is not equivalent to LDA , 2006, Pattern Recognit..

[35]  Xiaogang Wang,et al.  Dual-space linear discriminant analysis for face recognition , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[36]  Konstantinos N. Plataniotis,et al.  Ensemble-based discriminant learning with boosting for face recognition , 2006, IEEE Transactions on Neural Networks.

[37]  Xiaogang Wang,et al.  A unified framework for subspace face recognition , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.