2 papers
math.DG2025
The moduli spaces of left-invariant statistical structures on Lie groups
Hikozo Kobayashi, Yu Ohno, Takayuki Okuda +1
In the context of information geometry, the concept known as left-invariant statistical structure on Lie groups is defined by Furuhata--Inoguchi--Kobayashi (Inf Geom 4(1):177--188,…
math.DG2025
On Invariant Conjugate Symmetric Statistical Structures on the Space of Zero-Mean Multivariate Normal Distributions
Hikozo Kobayashi, Takayuki Okuda
By the results of Furuhata--Inoguchi--Kobayashi [Inf. Geom. (2021)] and Kobayashi--Ohno [Osaka Math. J. (2025)], the Amari--Chentsov -connections on the space of a…