Discriminative Locality Preserving Canonical Correlation Analysis

In this paper, we propose a novel dimension reduction method based on canonical correlation analysis, called discriminative locality preserving canonical correlation analysis (DLPCCA) method. In particular, we use discriminative information to maximize the correlations between intra-class samples, and maximize the margins between inter-class samples. Moreover, local preserving data structure can be used to estimate the data structure, and thus DLPCCA achieves better performance. Experimental results on Yale and ORL datasets show that DLPCCA outperforms the representative algorithms including CCA, KCCA, LPCCA and LDCCA.

[1]  William W. Hsieh,et al.  Nonlinear canonical correlation analysis by neural networks , 2000, Neural Networks.

[2]  Andreas Bartels,et al.  Semi-supervised kernel canonical correlation analysis with application to human fMRI , 2011, Pattern Recognit. Lett..

[3]  John Shawe-Taylor,et al.  Using KCCA for Japanese–English cross-language information retrieval and document classification , 2006, Journal of Intelligent Information Systems.

[4]  John Shawe-Taylor,et al.  Canonical Correlation Analysis: An Overview with Application to Learning Methods , 2004, Neural Computation.

[5]  W. Zheng,et al.  Facial expression recognition using kernel canonical correlation analysis (KCCA) , 2006, IEEE Transactions on Neural Networks.

[6]  Daoqiang Zhang,et al.  A New Canonical Correlation Analysis Algorithm with Local Discrimination , 2010, Neural Processing Letters.

[7]  Xindong Wu,et al.  Manifold elastic net: a unified framework for sparse dimension reduction , 2010, Data Mining and Knowledge Discovery.

[8]  Songcan Chen,et al.  Locality preserving CCA with applications to data visualization and pose estimation , 2007, Image Vis. Comput..

[9]  Michael I. Jordan,et al.  A Probabilistic Interpretation of Canonical Correlation Analysis , 2005 .

[10]  Allan Aasbjerg Nielsen,et al.  Multiset canonical correlations analysis and multispectral, truly multitemporal remote sensing data , 2002, IEEE Trans. Image Process..

[11]  Yo Horikawa,et al.  Use of Autocorrelation Kernels in Kernel Canonical Correlation Analysis for Texture Classification , 2004, ICONIP.

[12]  H. Hotelling Relations Between Two Sets of Variates , 1936 .

[13]  R. Tibshirani,et al.  A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis. , 2009, Biostatistics.

[14]  Jieping Ye,et al.  Canonical Correlation Analysis for Multilabel Classification: A Least-Squares Formulation, Extensions, and Analysis , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[15]  Zhigang Luo,et al.  Manifold Regularized Discriminative Nonnegative Matrix Factorization With Fast Gradient Descent , 2011, IEEE Transactions on Image Processing.