IEEE Transactions on Pattern Analysis and Machine Intelligence
Offline Recognition of Chinese Handwriting by Multifeature and Multilevel Classification
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical Pattern Recognition: A Review
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of Handwritten Numerals Using Gabor Features
ICPR '96 Proceedings of the International Conference on Pattern Recognition (ICPR '96) Volume III-Volume 7276 - Volume 7276
IEEE Transactions on Pattern Analysis and Machine Intelligence
Face Recognition Using Laplacianfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Face Recognition by Stepwise Nonparametric Margin Maximum Criterion
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
IEEE Transactions on Pattern Analysis and Machine Intelligence
Face recognition based on a novel linear discriminant criterion
Pattern Analysis & Applications
An Optimal Set of Discriminant Vectors
IEEE Transactions on Computers
General Tensor Discriminant Analysis and Gabor Features for Gait Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Cognitive Neuroscience
A Multiple Maximum Scatter Difference Discriminant Criterion for Facial Feature Extraction
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Robust coding schemes for indexing and retrieval from large face databases
IEEE Transactions on Image Processing
A shape- and texture-based enhanced Fisher classifier for face recognition
IEEE Transactions on Image Processing
Efficient and robust feature extraction by maximum margin criterion
IEEE Transactions on Neural Networks
Face recognition using kernel scatter-difference-based discriminant analysis
IEEE Transactions on Neural Networks
A supervised non-linear dimensionality reduction approach for manifold learning
Pattern Recognition
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Two discriminant criteria-quotient and difference, are commonly used in linear discriminant analysis. In the paper, we experiment with the CENPARMI handwritten numeral database, the NUST603 handwritten Chinese character database, the ORL face image database and the FERET face image database and find that the quotient criterion is better than the difference criterion for large sample size problems such as the character recognition, while the difference criterion is better for small sample size problems such as face recognition. Through theoretical analysis, the defect of the difference criterion-the correlation among discriminant vectors is revealed, and it is testified that the quotient criterion is superior to the difference criterion in general, if the instability of denominator can be overcome. Otherwise, the difference criterion might be better. Finally, the two criteria (quotient and difference) are unified into one framework in the paper.