Autonomous
Autonomous

Reputation: 9075

Scatter matrices for class separability

I found that scatter matrices are useful to calculate within and between class separability. This link gives more information about them. My question is as follows:

Suppose there are 4-classes, I should get 4 within-class scatter matrices and 4C2 = 6 between-class scatter matrices. Whereas, we get only single within and between class matrices. Any explanation for this?

Upvotes: 2

Views: 1223

Answers (1)

dan3
dan3

Reputation: 2559

Even in the link you've provided (which is kind of brief) you can see the per-class scatter matrices S_i. But "between-class" doesn't mean "between all pairs of classes", it means something closer to "among all classes" -- so there's a single "between-class" matrix.

Upvotes: 1

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