Is it the intermediate mean for Dₛₜ? You think I should cluster directly on the votes? That worry crossed my mind but I hadn't yet had time to delve into the ramifications. I am not familiar with why they are tricky.
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I dunno man. Anytime I start thinking about the space of k-dimensional linear subspaces on an n-dimensional space (i.e. Gr(n,k)), and about points on that space, my mind begins to get warped.
The big question is how can other metrics be used as a way of identifying clustered points on a manifold.
I think we'll see how persistent homology will be coming into play.