1997
DOI: 10.1162/neco.1997.9.7.1483
|View full text |Cite
|
Sign up to set email alerts
|

A Fast Fixed-Point Algorithm for Independent Component Analysis

Abstract: We introduce a novel fast algorithm for independent component analysis, which can be used for blind source separation and feature extraction. We show how a neural network learning rule can be transformed into a fixedpoint iteration, which provides an algorithm that is very simple, does not depend on any user-defined parameters, and is fast to converge to the most accurate solution allowed by the data. The algorithm finds, one at a time, all nongaussian independent components, regardless of their probability di… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

2
1,699
0
23

Year Published

2000
2000
2018
2018

Publication Types

Select...
8
2

Relationship

0
10

Authors

Journals

citations
Cited by 2,993 publications
(1,728 citation statements)
references
References 6 publications
2
1,699
0
23
Order By: Relevance
“…On the other hand, the classic sustained and transient types of neural signal (Leventhal and Hirsch, 1978;Henry, Mustari and Bullier, 1983;Mullikin, Jones and Palmer, 1984) are categorically distinct but are not mathematically orthogonal. The appropriate method for dissociating such signals is Independent Components Analysis (ICA; HyvÌrinen and Oja, 1997;McKeown et al, 1998;Calhoun et al, 2001;HyvÌrinen et al, 2002;Formisano et al, 2004), which identifies parametric clusters of components regardless of their degree of correlation. Although it cannot identify multiple components within a single voxel, the present application of ICA relies on the variation in the weights of multiple components across a set of voxels, to identify the relative contribution of the components to each voxel.…”
Section: Boldðtþ ¼ Gðnðtþþ ð3þmentioning
confidence: 99%
“…On the other hand, the classic sustained and transient types of neural signal (Leventhal and Hirsch, 1978;Henry, Mustari and Bullier, 1983;Mullikin, Jones and Palmer, 1984) are categorically distinct but are not mathematically orthogonal. The appropriate method for dissociating such signals is Independent Components Analysis (ICA; HyvÌrinen and Oja, 1997;McKeown et al, 1998;Calhoun et al, 2001;HyvÌrinen et al, 2002;Formisano et al, 2004), which identifies parametric clusters of components regardless of their degree of correlation. Although it cannot identify multiple components within a single voxel, the present application of ICA relies on the variation in the weights of multiple components across a set of voxels, to identify the relative contribution of the components to each voxel.…”
Section: Boldðtþ ¼ Gðnðtþþ ð3þmentioning
confidence: 99%
“…We have used the same number of components for ICA, FDA, SHICA, and SHFDA as PCA and SHPCA, respectively. Here ICA is calculated using the FastICA algorithm (Hyvärinen, 1999) and FDA based on an algorithm by Belhumeur et al (1997). We use the nearest neighbor classifier for recognition.…”
Section: Experimental Results For Recognitionmentioning
confidence: 99%
“…DMN functional connectivity: rs-fMRI images were realigned, normalized to Montreal Neurological Institute space, and smoothed with a 6-mm full-width at half maximum isotropic Gaussian kernel with SPM8, to perform independent component analysis (ICA) with the Group ICA toolbox (Calhoun et al, 2001) (GIFT v3.0a, http://mialab.mrn.org/software/gift/index. html) and the FastICA approach (Hyvärinen et al, 1997). The estimated number of independent components was 39, a dimension determined using the minimum description length criteria.…”
Section: Mri Image Acquisition and Processingmentioning
confidence: 99%