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

Revision as of 00:47, 18 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

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood