Document Detail

EM in high-dimensional spaces.
MedLine Citation:
PMID:  15971925     Owner:  NLM     Status:  MEDLINE    
This paper considers fitting a mixture of Gaussians model to high-dimensional data in scenarios where there are fewer data samples than feature dimensions. Issues that arise when using principal component analysis (PCA) to represent Gaussian distributions inside Expectation-Maximization (EM) are addressed, and a practical algorithm results. Unlike other algorithms that have been proposed, this algorithm does not try to compress the data to fit low-dimensional models. Instead, it models Gaussian distributions in the (N - 1)-dimensional space spanned by the N data samples. We are able to show that this algorithm converges on data sets where low-dimensional techniques do not.
Bruce A Draper; Daniel L Elliott; Jeremy Hayes; Kyungim Baek
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Publication Detail:
Type:  Comparative Study; Evaluation Studies; Letter    
Journal Detail:
Title:  IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society     Volume:  35     ISSN:  1083-4419     ISO Abbreviation:  IEEE Trans Syst Man Cybern B Cybern     Publication Date:  2005 Jun 
Date Detail:
Created Date:  2005-06-23     Completed Date:  2005-07-19     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  9890044     Medline TA:  IEEE Trans Syst Man Cybern B Cybern     Country:  United States    
Other Details:
Languages:  eng     Pagination:  571-7     Citation Subset:  IM    
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MeSH Terms
Artificial Intelligence*
Cluster Analysis
Computer Simulation
Image Enhancement / methods
Image Interpretation, Computer-Assisted / methods*
Information Storage and Retrieval / methods*
Likelihood Functions
Models, Biological
Models, Statistical
Pattern Recognition, Automated / methods*
Principal Component Analysis
Reproducibility of Results
Sensitivity and Specificity
Signal Processing, Computer-Assisted
Subtraction Technique

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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