Wasserstein幾何とφ-正規分布族
高津飛鳥 (名古屋大学)
1.Wasserstein geometry
Thm.(Brenier 91)
Ex.(
Dowson&Landau, Givens&Shortt,
80': Knott&Smith, Olkin&Pukelsheim
)
cf．n= l
standard deviation
mean
2.φ-Gauss
Ex.
Thm.(Takatsu,2013)
transport ineq.→deviation ineq.

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