Search results for "minimum distance index"

showing 3 items of 3 documents

A more efficient second order blind identification method for separation of uncorrelated stationary time series

2016

The classical second order source separation methods use approximate joint diagonalization of autocovariance matrices with several lags to estimate the unmixing matrix. Based on recent asymptotic results, we propose a novel unmixing matrix estimator which selects the best lag set from a finite set of candidate sets specified by the user. The theory is illustrated by a simulation study. peerReviewed

affine equivarianceminimum distance indexSOBIasymptotic normalityjoint diagonalizationlinear process
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A more efficient second order blind identification method for separation of uncorrelated stationary time series

2016

The classical second order source separation methods use approximate joint diagonalization of autocovariance matrices with several lags to estimate the unmixing matrix. Based on recent asymptotic results, we propose a novel unmixing matrix estimator which selects the best lag set from a finite set of candidate sets specified by the user. The theory is illustrated by a simulation study.

Statistics and ProbabilityMathematical optimizationaffine equivarianceminimum distance indexasymptotic normalityAsymptotic distributionlinear process01 natural sciencesSet (abstract data type)010104 statistics & probabilityMatrix (mathematics)SOBIComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION0502 economics and businessSource separationjoint diagonalization0101 mathematicsFinite set050205 econometrics Mathematicsta112Series (mathematics)05 social sciencesEstimatorAutocovarianceStatistics Probability and UncertaintyAlgorithmStatistics & Probability Letters
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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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