Enhanced discriminative locality alignment and its kernel extension

Although discriminative locality alignment (DLA), which is based on the idea of part optimization and whole alignment, has better performance than classical methods in feature extraction, DLA is too overly sensitive to the values of the parameters and falls short of exploiting the full supervision information. We propose a novel supervised feature extraction method, named enhanced discriminative locality alignment (EDLA), for robust feature extraction. EDLA is not sensitive on the choice of the parameters, and both the local structure and class label information are taken into consideration in EDLA algorithm. Moreover, a kernel version of EDLA, named kernel EDLA, is developed through applying the kernel trick to EDLA to increase its performance on nonlinear feature extraction. Experiments on the face databases demonstrate the effectiveness of our methods.

[1]  Xiangyang Xue,et al.  Discriminant neighborhood embedding for classification , 2006, Pattern Recognit..

[2]  H. Zha,et al.  Principal manifolds and nonlinear dimensionality reduction via tangent space alignment , 2004, SIAM J. Sci. Comput..

[3]  Vikas Sindhwani,et al.  On Manifold Regularization , 2005, AISTATS.

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

[5]  B. Scholkopf,et al.  Fisher discriminant analysis with kernels , 1999, Neural Networks for Signal Processing IX: Proceedings of the 1999 IEEE Signal Processing Society Workshop (Cat. No.98TH8468).

[6]  Jeng-Shyang Pan,et al.  ADAPTIVE DATA-DEPENDENT MATRIX NORM BASED GAUSSIAN KERNEL FOR FACIAL FEATURE EXTRACTION , 2007 .

[7]  Alex Pentland,et al.  Face recognition using eigenfaces , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[8]  Mikhail Belkin,et al.  Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering , 2001, NIPS.

[9]  D. B. Graham,et al.  Characterising Virtual Eigensignatures for General Purpose Face Recognition , 1998 .

[10]  Gunnar Rätsch,et al.  An introduction to kernel-based learning algorithms , 2001, IEEE Trans. Neural Networks.

[11]  Hongyuan Zha,et al.  Principal Manifolds and Nonlinear Dimension Reduction via Local Tangent Space Alignment , 2002, ArXiv.

[12]  Deli Zhao,et al.  Laplacian PCA and Its Applications , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[13]  Shuicheng Yan,et al.  Graph embedding: a general framework for dimensionality reduction , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[14]  Andreas Noack,et al.  An Energy Model for Visual Graph Clustering , 2003, GD.

[15]  Xuelong Li,et al.  A unifying framework for spectral analysis based dimensionality reduction , 2008, 2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence).

[16]  Xiaofei He,et al.  Locality Preserving Projections , 2003, NIPS.

[17]  Dacheng Tao,et al.  Discriminative Locality Alignment , 2008, ECCV.

[18]  D. B. Gerham Characterizing virtual eigensignatures for general purpose face recognition , 1998 .

[19]  Jeng-Shyang Pan,et al.  Kernel class-wise locality preserving projection , 2008, Inf. Sci..

[20]  Andy Harter,et al.  Parameterisation of a stochastic model for human face identification , 1994, Proceedings of 1994 IEEE Workshop on Applications of Computer Vision.

[21]  Xuelong Li,et al.  Patch Alignment for Dimensionality Reduction , 2009, IEEE Transactions on Knowledge and Data Engineering.

[22]  Yousef Saad,et al.  Enhanced graph-based dimensionality reduction with repulsion Laplaceans , 2009, Pattern Recognit..

[23]  S T Roweis,et al.  Nonlinear dimensionality reduction by locally linear embedding. , 2000, Science.

[24]  Stephen Lin,et al.  Graph Embedding and Extensions: A General Framework for Dimensionality Reduction , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.