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The squared symmetric FastICA estimator

2017

In this paper we study the theoretical properties of the deflation-based FastICA method, the original symmetric FastICA method, and a modified symmetric FastICA method, here called the squared symmetric FastICA. This modification is obtained by replacing the absolute values in the FastICA objective function by their squares. In the deflation-based case this replacement has no effect on the estimate since the maximization problem stays the same. However, in the symmetric case we obtain a different estimate which has been mentioned in the literature, but its theoretical properties have not been studied at all. In the paper we review the classic deflation-based and symmetric FastICA approaches…

Mathematical optimizationaffine equivarianceminimum distance indexMathematics - Statistics TheoryIndependent component analysis02 engineering and technologyEstimating equationsStatistics Theory (math.ST)01 natural sciences010104 statistics & probabilityMatrix (mathematics)0202 electrical engineering electronic engineering information engineeringFOS: MathematicsApplied mathematics62H10 62H120101 mathematicsElectrical and Electronic EngineeringMathematicsta113ta112ta111EstimatorContrast (statistics)riippumattomien komponenttien analyysi020206 networking & telecommunicationsMaximizationIndependent component analysisNonlinear systemControl and Systems EngineeringSignal ProcessingFastICAComputer Vision and Pattern Recognitionlimiting normalitySoftware
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