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cs.CG2025
Scales of Fréchet means and Karcher quasi-arithmetic means
Frank Nielsen
In this paper, we first prove that any interior point of an open interval of the real line can be interpreted as Fréchet means with respect to corresponding metric distances, thus…
cs.CG2025
Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family
Jacek Karwowski, Frank Nielsen
The extended Gaussian family is the closure of the Gaussian family obtained by completing the Gaussian family with the counterpart elements induced by degenerate covariance or dege…