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Consider a collection of sample points <math>\{x_1,x_2,\cdots,x_n\}</math> where <math> x_i \in R^m</math>. We divide the methods in two categories: | Consider a collection of sample points <math>\{x_1,x_2,\cdots,x_n\}</math> where <math> x_i \in R^m</math>. 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. | ||
| − | + | * 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. | |
| − | These methods require the spectral analysis of a positive definite kernel of dimension | + | |
| + | |||
| + | == Outer Characteristics of the point cloud Methods == | ||
* PCA: Principal Component Analysis | * PCA: Principal Component Analysis | ||
| Line 9: | Line 12: | ||
* Fisher Discriminant Analysis | * Fisher Discriminant Analysis | ||
| − | == Inner characteristics of the point cloud == | + | == Inner characteristics of the point cloud Methods == |
| − | + | ||
* MDS | * MDS | ||
Revision as of 00:41, 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.
- 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
- PCA: Principal Component Analysis
- Fisher Discriminant Analysis
Inner characteristics of the point cloud Methods
- MDS
