Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Kernel PCA and de-noising in feature spaces
Proceedings of the 1998 conference on Advances in neural information processing systems II
Independent component analysis: algorithms and applications
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
Fast Iterative Kernel Principal Component Analysis
The Journal of Machine Learning Research
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Several dimensionality-reduction techniques based on component analysis (CA) have been suggested for various data stream classification tasks and allow fast approximation. The variations of CA, such as PCA, KPCA and ICA, however, have limited dimensionalityreduction ability because of their high complexity or linear transformation scheme, etc. This paper proposes a fast iterative kernel principal component analysis algorithm: FIKDR, which non-linearly, iteratively extracts the kernel principal components with only linear order computation and storage complexity per iteration. On the basis of FIKDR, this paper proposes an online classification algorithm for data stream: FIKOCFrame. The convergence analysis confirms the validity of FIKDR and extensive experiments confirm the superiority of FIKOCFrame over recent classification schemes based on CA.