Diffusions for global optimizations
SIAM Journal on Control and Optimization
Visual learning and recognition of 3-D objects from appearance
International Journal of Computer Vision
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
Monte Carlo Statistical Methods (Springer Texts in Statistics)
Monte Carlo Statistical Methods (Springer Texts in Statistics)
Fast and robust fixed-point algorithms for independent component analysis
IEEE Transactions on Neural Networks
Intrinsic generalization analysis of low dimensional representations
Neural Networks - 2003 Special issue: Advances in neural networks research IJCNN'03
Linear Dimensionality Reduction via a Heteroscedastic Extension of LDA: The Chernoff Criterion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal linear projections for enhancing desired data statistics
Statistics and Computing
Computing eigen space from limited number of views for recognition
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
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Simplicity of linear representations (of images) makes them a popular tool in imaging analysis applications such as object recognition and image classification. Although several linear representations, namely PCA, ICA, and FDA, have frequently been used, these representations are generally far from optimal in terms of actual application performance. We argue that representations should be chosen with respect to the application and the databases involved. Fixing an application, say object recognition, and assuming that recognition performance is computable for any linear basis (given a classifier and a database), we propose a Monte Carlo simulated annealing method that leads to optimal linear representations by maximizing the recognition performance over all fixed-rank subspaces. We illustrate this method on two popular databases.