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Re:Principal component analysis: pictures, code and proofs (... by oktavist on Tuesday March 12, 2019 @02:18PM (#19371282)
Draw a banana on a piece of paper. Chances are in doing so you subconsciously eliminated the dimension of the banana that is 'non curvy' / 'not really varying as much'. You've mentally done a form of PCA, and eliminated the least interesting dimension in reducing it to 2 dimensions instead of 3.

It is a means of defining a new coordinate system that is ordered by dimensions of decreasing variance.

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