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Do You Credit That With the Harmonic Mean Choice?
Harmonic mean is a special case of general power means. For higher dimensions, wanting to be close to s equals negative infinity requires a more negative s. We don't really know why that is, or how should you choose as given a dimension. That's something that's a very open question in terms of the mathematics. Means it's kind of hard to say if computational cost didn't matter at all - we like to think of our algarthom as targeting the exact same objective.