Modified Hebbian learning for curve and surface fitting
Neural Networks
International Journal of Computer Vision
Robust algorithms for principal component analysis
Pattern Recognition Letters
Adaptive algorithms for first principal eigenvector computation
Neural Networks
Theoretical Computer Science
Principal component analysis of fuzzy data using autoassociative neural networks
IEEE Transactions on Fuzzy Systems
Regularized Linear Fuzzy Clustering and Probabilistic PCA Mixture Models
IEEE Transactions on Fuzzy Systems
Optimal linear compression under unreliable representation and robust PCA neural models
IEEE Transactions on Neural Networks
Robust recursive least squares learning algorithm for principal component analysis
IEEE Transactions on Neural Networks
Algorithms for accelerated convergence of adaptive PCA
IEEE Transactions on Neural Networks
Fuzzy auto-associative neural networks for principal component extraction of noisy data
IEEE Transactions on Neural Networks
On the discrete-time dynamics of the basic Hebbian neural network node
IEEE Transactions on Neural Networks
Coupled principal component analysis
IEEE Transactions on Neural Networks
Convergence analysis of a deterministic discrete time system of Oja's PCA learning algorithm
IEEE Transactions on Neural Networks
Modulated Hebb-Oja learning Rule-a method for principal subspace analysis
IEEE Transactions on Neural Networks
Determination of the Number of Principal Directions in a Biologically Plausible PCA Model
IEEE Transactions on Neural Networks
Global Convergence of GHA Learning Algorithm With Nonzero-Approaching Adaptive Learning Rates
IEEE Transactions on Neural Networks
Robust principal component analysis by self-organizing rules based on statistical physics approach
IEEE Transactions on Neural Networks
Principal component extraction using recursive least squares learning
IEEE Transactions on Neural Networks
An EEG-based brain-computer interface for dual task driving detection
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part I
Manifold alignment based on sparse local structures of more corresponding pairs
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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In this paper, we analyze Xu and Yuille's robust principal component analysis (RPCA) learning algorithms by means of the distance measurement in space. Based on the analysis, a family of fuzzy RPCA learning algorithms is proposed, which is robust against outliers. These algorithms can explicitly be understood from the viewpoint of fuzzy set theory, though Xu and Yuille's algorithms were proposed based on a statistical physics approach. In the proposed algorithms, an adaptive learning procedure overcomes the difficulty of selection of learning parameters in Xu and Yuille's algorithms. Furthermore, the robustness of proposed algorithms is investigated by using the theory of influence functions. Simulations are carried out to illustrate the robustness of these algorithms.