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What is Independent Component Analysis (ICA)

Encyclopedia of Healthcare Information Systems
A linear transformation for separating a multivariate signal into inner components, which are supposed to be as statistically independent as possible.
Published in Chapter:
Applying Independent Component Analysis to the Artifact Detection Problem in Magnetoencephalogram Background Recordings
Javier Escudero (University of Valladolid, Spain), Roberto Hornero (University of Valladolid, Spain), Daniel Abásolo (University of Valladolid, Spain), Jesús Poza (University of Valladolid, Spain), and Alberto Fernández (University of Valladolid, Spain)
Copyright: © 2008 |Pages: 9
DOI: 10.4018/978-1-59904-889-5.ch012
Abstract
The analysis of the electromagnetic brain activity can provide important information to help in the diagnosis of several mental diseases. Both electroencephalogram (EEG) and magnetoencephalogram (MEG) record the neural activity with high temporal resolution (Hämäläinen, Hari, Ilmoniemi, Knuutila, & Lounasmaa, 1993). Nevertheless, MEG offers some advantages over EEG. For example, in contrast to EEG, MEG does not depend on any reference point. Moreover, the magnetic fields are less distorted than the electric ones by the skull and the scalp (Hämäläinen et al., 1993). Despite these advantages, the use of MEG data involves some problems. One of the most important difficulties is that MEG recordings may be severely contaminated by additive external noise due to the intrinsic weakness of the brain magnetic fields. Hence, MEG must be recorded in magnetically shielded rooms with low-noise SQUID (Superconducting QUantum Interference Devices) gradiometers (Hämäläinen et al., 1993).
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More Results
An Overview for Non-Negative Matrix Factorization
A mathematical procedure that finds the independent components by maximizing the statistical independence of the estimated components. It can be used for separating a multivariate signal into additive subcomponents by assuming that the subcomponents are non-Gaussian signals and that they are all statistically independent of each other.
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Significance Estimation in fMRI from Random Matrices
A computational method for separating statistically independent sources that are linearly mixed.
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Adaptive Neural Algorithms for PCA and ICA
An exploratory method for separating a linear mixture of latent signal sources into independent components as optimal estimates of the original sources on the basis of their mutual statistical independence and non-Gaussianity.
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Non-Cooperative Facial Biometric Identification Systems
A computational method for separating a multivariate signal into additive subcomponents supposing the mutual statistical independence of the non-Gaussian source signals.
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Improving the Naïve Bayes Classifier
Independent component analysis (ICA) is a newly developed technique for finding hidden factors or components to give a new representation of multivariate data. ICA could be thought of as a generalization of PCA. PCA tries to find uncorrelated variables to represent the original multivariate data, whereas ICA attempts to obtain statistically independent variables to represent the original multivariate data
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