On spheres of dimension at least two, Fréchet means can converge at rate n^{-1/6} even when data avoid the antipodal point, a 'geometrical smeariness' that is absent on the circle.
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Geometrical Smeariness -- A new Phenomenon of Fr\'echet Means
On spheres of dimension at least two, Fréchet means can converge at rate n^{-1/6} even when data avoid the antipodal point, a 'geometrical smeariness' that is absent on the circle.