A fast fixed-point algorithm for independent component analysis
Neural Computation
Advanced ICA-based receivers for block fading DS-CDMA channels
Signal Processing
One-Bit-Matching Conjecture for Independent Component Analysis
Neural Computation
Fast and robust fixed-point algorithms for independent component analysis
IEEE Transactions on Neural Networks
Monotonic convergence of fixed-point algorithms for ICA
IEEE Transactions on Neural Networks
IEEE Transactions on Signal Processing
Local stability analysis of maximum nongaussianity estimation in independent component analysis
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
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FastICA is now a popular algorithm for independent component analysis (ICA) based on negentropy. However the convergence of FastICA has not been comprehensively studied. This paper provides the global convergence analysis of FastICA and some practical considerations on algorithmic implementations. The exhaustive equilibria are obtained from the iteration first. Then the global convergence property is given on the 2-channel system with cubic nonlinearity function, and the results can also be generalized to the multi-channel system. In addition, two practical considerations, e.g. the convergence threshold for demixing matrix and independence restriction for sources, are evaluated and the influence on the separation solutions is illustrated respectively.