Independent component analysis, a new concept?
Signal Processing - Special issue on higher order statistics
A fast fixed-point algorithm for independent component analysis
Neural Computation
Volatility modelling of multivariate financial time series by using ICA-GARCH models
IDEAL'05 Proceedings of the 6th international conference on Intelligent Data Engineering and Automated Learning
Fast and robust fixed-point algorithms for independent component analysis
IEEE Transactions on Neural Networks
A new constrained fixed-point algorithm for ordering independent components
Journal of Computational and Applied Mathematics
Using visual metrics to selecting ICA basis for image compression: a comparative study
IBERAMIA'10 Proceedings of the 12th Ibero-American conference on Advances in artificial intelligence
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Principal components (PCs) by construction have a natural ordering based on their cumulative proportion of variance explained. However, most ICA algorithms for finding independent components (ICs) are arbitrary, which limit the use of ICA in pattern discovery and dimension reduction. To solve this problem, we propose an efficient IC ordering approach and prove that this method guarantees to find the optimal ordering of ICs based on the MSE criterion. Furthermore, we employ the cross validation method to select the number of dominant ICs. Simulation experiments show that the proposed IC ordering and selection procedure is efficient and effective, which can be used to identify the dominant ICs as well as to reduce the number of ICs.