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olmec-akeru OP t1_iy8ajq0 wrote

> the beauty of the PCA reduction was that one dimension was responsible for the size of the nose

You posit that an eigenvector will represent the nose when there are meaningful variations of scale, rotation, and position?

This is very different to saying all variance will be explained across the full set of eigenvectors (which very much is true).

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new_name_who_dis_ t1_iy8b0jr wrote

It was just an example. Sure not all sizes of nose are found along the same eigenvector.

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