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IJCNN
2007
IEEE
14 years 2 months ago
Branching Principal Components: Elastic Graphs, Topological Grammars and Metro Maps
— To approximate complex data, we propose new type of low-dimensional “principal object”: principal cubic complex. This complex is a generalization of linear and nonlinear pr...
Alexander N. Gorban, Neil R. Sumner, Andrei Yu. Zi...
NN
2000
Springer
159views Neural Networks» more  NN 2000»
13 years 8 months ago
Independent component analysis for noisy data -- MEG data analysis
ICA (independent component analysis) is a new, simple and powerful idea for analyzing multi-variant data. One of the successful applications is neurobiological data analysis such ...
Shiro Ikeda, Keisuke Toyama
IPMI
2003
Springer
14 years 9 months ago
Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis
The Gaussian distribution is the basis for many methods used in the statistical analysis of shape. One such method is principal component analysis, which has proven to be a powerfu...
P. Thomas Fletcher, Sarang C. Joshi, Conglin Lu, S...
SDM
2009
SIAM
130views Data Mining» more  SDM 2009»
14 years 5 months ago
FuncICA for Time Series Pattern Discovery.
We introduce FuncICA, a new independent component analysis method for pattern discovery in inherently functional data, such as time series data. FuncICA can be considered an analo...
Alexander Gray, Nishant Mehta
WSCG
2004
166views more  WSCG 2004»
13 years 10 months ago
De-noising and Recovering Images Based on Kernel PCA Theory
Principal Component Analysis (PCA) is a basis transformation to diagonalize an estimate of the covariance matrix of input data and, the new coordinates in the Eigenvector basis ar...
Pengcheng Xi, Tao Xu