Bernd Doser & Sebastian Trujillo-Gomez
Kai Polsterer, Andreas Fehlner, Fenja Schweder, Romain Chazotte
Heidelberg Institute for Theoretical Studies (HITS)
May 2025
Normal distribution on the hyper-sphere:
\[\begin{aligned} p_{X}(x; \mu, \kappa) = N_{X}(\kappa, d)^{-1}(1 + \mu^{\top}x)^{\kappa} \end{aligned}\]
\(d\): Dimension
\(\mu\): Direction
\(\kappa\): Concentration
\(N_{X}\): Normalization factor
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