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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

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva