Anony-Mousse
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 Aug 27 comment Pearson correlation and metric properties I also know that it doesn't always hold, but there might be lesser requirements than z standardization, or alternatives with the same property. Aug 26 comment Pearson correlation and metric properties The question is if a similar result is true without z-standardization. Aug 26 comment Pearson correlation and metric properties For z-standardization I proved the relationship in the question already. I'm interested if the metric property exists with less assumptions, too. Mar 13 awarded Nice Question Dec 20 awarded Constituent Dec 16 awarded Caucus Oct 16 awarded Notable Question Jun 19 awarded Nice Answer Jun 6 comment Pearson correlation and metric properties Interesting idea. z-standardization is a linear transformation in the transposed space. If metric properties survive transposition, this would pretty much yield a proof. Feb 26 comment Precision and performance of Euclidean distance I don't get any precision problems on this example. Feb 21 awarded Notable Question Feb 5 awarded Commentator Feb 5 comment Is it faster to count to the infinite going one by one or two by two? To make it more explicit: when everybody moves from room $i$, to room $2i$ - who will be in a room with an odd number afterwards? The room must have become empty! And when you are told to move to room $2i$, that room must also be empty - because whoever was in there just moved to room $4i$. Everbody moves to a room that just became vacant. Feb 5 comment Is it faster to count to the infinite going one by one or two by two? Try to prove that the room is occupied. Because whoever was in there, supposedly moved to room $\pi(\pi(j))$, didn't he? Therefore, the destination room became empty. Feb 5 revised Is it faster to count to the infinite going one by one or two by two? added 994 characters in body Feb 4 revised Is it faster to count to the infinite going one by one or two by two? added 73 characters in body Feb 4 awarded Yearling Feb 3 awarded Teacher Feb 3 answered Is it faster to count to the infinite going one by one or two by two? Feb 1 comment Estimating the geometric shape of a point cloud without using the vertex information Define "geometric shape". Have you looked at alpha shapes? I don't think clustering is what you are looking for. Why would you lose vertex information the first place?