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== Outer Characteristics of the point cloud Methods ==
 
== Outer Characteristics of the point cloud Methods ==
  
* PCA: Principal Component Analysis
+
* [[PCA: Principal Component Analysis]]
  
* Fisher Discriminant Analysis
+
* [[Fisher Discriminant Analysis_Old Kiwi]]
  
 
== Inner characteristics of the point cloud Methods ==
 
== Inner characteristics of the point cloud Methods ==
  
* MDS
+
* [[MDS_Old Kiwi]]

Revision as of 23:46, 17 April 2008

Consider a collection of sample points $ \{x_1,x_2,\cdots,x_n\} $ where $ x_i \in R^m $. We divide the methods in two categories:

  • Outer Characteristics of the point cloud: These methods require the spectral analysis of a positive definite kernel of dimension m, the extrinsic dimensionality of the data.
  • Inner characteristics of the point cloud: These methods require the spectral analysis of a positive definite kernel of dimension n, the number of samples in the sample cloud.


Outer Characteristics of the point cloud Methods

Inner characteristics of the point cloud Methods

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