Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Sparse Greedy Matrix Approximation for Machine Learning
ICML '00 Proceedings of the Seventeenth International Conference on Machine Learning
Kernel Methods for Pattern Analysis
Kernel Methods for Pattern Analysis
Iterative Kernel Principal Component Analysis for Image Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Improved Algorithm for Kernel Principal Component Analysis
Neural Processing Letters
Matrix-based kernel principal component analysis for large-scale data set
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
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To deal with the computational and storage problem for the large-scale data set, an improved Kernel Principal Component Analysis based on 1-order and 2-order statistical quantity, is proposed By dividing the large scale data set into small subsets, we could treat 1-order and 2-order statistical quantity (mean and autocorrelation matrix) of each subset as the special computational unit A novel polynomial-matrix kernel function is also adopted to compute the similarity between the data matrices in place of vectors The proposed method can greatly reduce the size of kernel matrix, which makes its computation possible Its effectiveness is demonstrated by the experimental results on the artificial and real data set.