Matrix analysis
Visual learning and recognition of 3-D objects from appearance
International Journal of Computer Vision
Mixtures of probabilistic principal component analyzers
Neural Computation
Appearance-based hand sign recognition from intensity image sequences
Computer Vision and Image Understanding
Distributed clustering using collective principal component analysis
Knowledge and Information Systems
A Principal Components Approach to Combining Regression Estimates
Machine Learning
Kernel Principal Component Analysis
ICANN '97 Proceedings of the 7th International Conference on Artificial Neural Networks
Candid Covariance-Free Incremental Principal Component Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative Kernel Principal Component Analysis for Image Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Cognitive Neuroscience
Principal component analysis in decomposable Gaussian graphical models
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
EURASIP Journal on Advances in Signal Processing
Decomposable principal component analysis
IEEE Transactions on Signal Processing
State-based SHOSLIF for indoor visual navigation
IEEE Transactions on Neural Networks
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In this paper, a covariance-free iterative algorithm is developed to achieve distributed principal component analysis on high-dimensional data sets that are vertically partitioned. We have proved that our iterative algorithm converges monotonously with an exponential rate. Different from existing techniques that aim at approximating the global PCA, our covariance-free iterative distributed PCA (CIDPCA) algorithm can estimate the principal components directly without computing the sample covariance matrix. Therefore a significant reduction on transmission costs can be achieved. Furthermore, in comparison to existing distributed PCA techniques, CIDPCA can provide more accurate estimations of the principal components and classification results. We have demonstrated the superior performance of CIDPCA through the studies of multiple real-world data sets.