3 papers
math.DG2026
Invariant statistical connections on the multivariate centered Gaussian model and their moduli spaces
Hideyuki Ishi, Hikozo Kobayashi, Takayuki Okuda
We study invariant statistical connections on the space of zero-mean multivariate normal distributions (the multivariate centered Gaussian model) equipped with th…
math.DG2026
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…