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Activity Number: 311
Type: Invited
Date/Time: Tuesday, August 8, 2006 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #305318
Title: Dimension Reduction of Large Datasets in the Atmospheric Sciences
Author(s): Barbara A. Bailey*+
Companies: University of Colorado
Address: Department of Mathematical Sciences, Denver, CO, 80217-3364,
Keywords: nonlinear PCA ; neural networks
Abstract:

Principal component analysis (PCA) is a multivariate statistical method widely used to reduce the dimensionality of large fields of atmospheric data. A nonlinear extension of the PCA, denoted nonlinear principal component analysis (NLPCA), can explain more of the variance and extract nonlinear features. A feed-forward neural network is used as a flexible nonlinear model to allow nonlinear mappings, whereas PCA only allows for linear mappings. Model selection and statistical properties of the neural network model parameters are investigated. The technique is applied to the noisy Lorenz system and atmospheric science data. Visualization of the results of the NLPCA is discussed.


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