An Optimal Transformation for Discriminant and Principal Component Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Discriminant Eigenfeatures for Image Retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Solving the Small Sample Size Problem of LDA
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 3 - Volume 3
Face Recognition Using Laplacianfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multisurface Proximal Support Vector Machine Classification via Generalized Eigenvalues
IEEE Transactions on Pattern Analysis and Machine Intelligence
A regularization framework for multiple-instance learning
ICML '06 Proceedings of the 23rd international conference on Machine learning
Generalized spectral bounds for sparse LDA
ICML '06 Proceedings of the 23rd international conference on Machine learning
Dimensionality Reduction of Multimodal Labeled Data by Local Fisher Discriminant Analysis
The Journal of Machine Learning Research
IEEE Transactions on Pattern Analysis and Machine Intelligence
Twin Support Vector Machines for Pattern Classification
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Cognitive Neuroscience
Eigenfeature Regularization and Extraction in Face Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A least squares formulation for a class of generalized eigenvalue problems in machine learning
ICML '09 Proceedings of the 26th Annual International Conference on Machine Learning
Locality sensitive discriminant analysis
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Generalized discriminant analysis: a matrix exponential approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Multi-weight vector projection support vector machines
Pattern Recognition Letters
Manifold Adaptive Experimental Design for Text Categorization
IEEE Transactions on Knowledge and Data Engineering
Robust coding schemes for indexing and retrieval from large face databases
IEEE Transactions on Image Processing
Face recognition using recursive Fisher linear discriminant
IEEE Transactions on Image Processing
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In classification, previous studies have shown that an eigenvalue based technique can be cast as an related SVM-type problem and that by solving this SVM-type problem, the performance can be improved significantly. In this paper, we develop a recursive ''concave-convex'' Fisher Linear Discriminant (DR) (RPFLD) for dimension reduction technique of high-dimensional data to extract as many meaningful features as possible, which incorporates the fundamental idea behind Fisher Linear Discriminant and casts the Fisher Linear Discriminant as a ''concave-convex'' programming problem based on the hinge loss. The solution of our method follows from solving the related SVM-type optimization problems iteratively, which means the proposed method, can be viewed as the combination of multiple related SVM-type problems. The special formulation of our method provides convenience for constructing sparse multi-class Fisher Linear Discriminant directly. Due to use of a recursive procedure, the number of features available from RPFLD is independent of the number of classes, meaning that in contrast to the original Fisher Linear Discriminant the number of features available from our method has no upper bound. We evaluate our algorithm on the Yale, and ORL face image databases, handwritten digit database and Terrain image dataset. Experimental results show that RPFLD outperforms other Fisher Linear Discriminant algorithms.