PCA sign and singular values
I have read some pretty good information on PCA, so I grok in the MDGS, APC tries to reduce the number of attributes by projecting on the vectors 'feature '. I am curious about the sign of the singular value. It is my understanding that the magnitude is the 'distance' so far that the feature should be projected onto the characteristic vector. I think, but I'm not positive, that the sign of the singular value is the direction along the axis of the attribute attribute must jump to this projection.
I searched a bit for this information, but cannot be verified. Can someone comment?
The singular values are associated with swine vesicular disease from PORK and are always positive. The question is probably on the sign of the value of the function that is the projection on the new coordinate axis. The feature vectors represent a new coordinated basis. The bases have directions, so there is a sign associated with the projection. Note that the directions of the axes are somewhat arbitrary, and different solvers may differ in signs and nothing else. If the value of the characteristic is the projection of the point of origin on the new axis and can have a positive or negative sign and the extent of the projections can be used for comparisons. Projections of PCA are preserving distance, so you can compare the data points in the new space.
Tags: Business Intelligence
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