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PubMed · 9113528

Simple neuron models for independent component analysis.

A Hyvärinen·E Oja
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Abstract

Recently, several neural algorithms have been introduced for Independent component Analysis. Here we approach the problem from the point of view of a single neuron. First, simple Hebbian-like learning rules are introduced for estimating one of the independent components from sphered data. Some of the learning rules can be used to estimate an independent components which has a negative kurtosis, and the others estimate a component of positive kurtosis. Next, a two-unit system is introduced to estimate an independent component of any kurtosis. The results are then generalized to estimate independent components from non-sphered (raw) mixtures. To separate several independent components, a system of several neurons with linear negative feedback is used. The convergence of the learning rules is rigorously proven without any unnecessary hypotheses on the distribution of the independent components.

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AlgorithmsArtificial IntelligenceModels, NeurologicalModels, StatisticalNeural Networks, ComputerNeuronsJournal Article

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BibTeXRIS

A Hyvärinen, E Oja. 1996. Simple neuron models for independent component analysis.. https://doi.org/10.1142/s0129065796000646

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