Title
A new local PCA-SOM algorithm.
Abstract
This paper proposes a local PCA-SOM algorithm. The new competition measure is computational efficient, and implicitly incorporates the Mahalanobis distance and the reconstruction error. The matrix inversion or PCA decomposition for each data input is not needed as compared to the previous models. Moreover, the local data distribution is completely stored in the covariance matrix instead of the pre-defined numbers of the principal components. Thus, no priori information of the optimal principal subspace is required. Experiments on both the synthesis data and a pattern learning task are carried out to show the performance of the proposed method.
Year
DOI
Venue
2008
10.1016/j.neucom.2007.10.004
Neurocomputing
Keywords
Field
DocType
local data distribution,local principal component analysis,neural networks,local pca-som algorithm,mahalanobis distance,pca decomposition,principal component,matrix inversion,optimal principal subspace,new local pca-som algorithm,synthesis data,self-organizing mapping,data input,unsupervised learning,covariance matrix,neural network,principal component analysis
Matrix (mathematics),Mahalanobis distance,Unsupervised learning,Artificial intelligence,Artificial neural network,Sparse PCA,Pattern recognition,Subspace topology,Algorithm,Covariance matrix,Principal component analysis,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
71
16-18
Neurocomputing
Citations 
PageRank 
References 
8
0.77
14
Authors
3
Name
Order
Citations
PageRank
Dong Huang116314.20
Zhang Yi21765194.41
Xiaorong Pu38511.17