Example of "Principal Component Analysis" for weights computation

Small PCA Example

The folowing figure shows the PCA for 6 segmentations over the same audio file.
In the first image, each point corresponds to (lengths values of) a segmentation on a projectional space detailed by the second image.

Possible Weights computations

The distances to the center in this 2-dimensional projection are:
d_{1}=1.335866, d_{2}=1.049168, d_{3}=1.532614, d_{4}=2.392316, d_{5}=1.375279, and d_{6}=2.269634.

In this example, weights are computed for two simple f functions,
the first line for a linear correlation to the distance to center,
and the second line for a large amplification.